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Simple Interest
2) Rs. 35400
4) Cannot be determined
n.
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6. Arun invested a sum of money at a certain
rate of simple interest for a period of four
years. He had invested the same sum for a
period of six years the total interest earned
by him would have been fifty percent more
than the earlier interest amount. Then what
was the rate of interest percent per annum?
(Allahabad Bank PO Exam. 21.02.2010)
1) 4
2) 8
3) 5
4) Cannot be determined
5) None of these
7. The simple interest accrued on a sum of
certain principal is Rs. 1,200 in four years at
the rate of 8 p.c.p.a. Then what would be the
simple interest accrued on thrice of that
principal at the rate of 6 p.c.p.a. in 3 years?
(Oriental Bank Of Commerce PO Exam.
26.12.2010 (Ist Sitting))
1) Rs. 2,025
2) Rs. 3,025
3) Rs. 2,250
4) Rs. 2,150
5) None of these
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2. Vishwas borrowed a total amount of Rs.
30,000 part of it on simple interest, rate of 12
p.c.p.a. and remaining on simple interest rate
of 10 p.c.p.a. If at the end of 2 years he paid
in all Rs. 36,480 to settle the loan amount,
then what was the amount borrowed at 12
p.c.p.a?
(Indian Overseas Bank PO Exam. 15.06.2008)
1) Rs. 16000
2) Rs. 18000
3) Rs. 17500
4) Rs. 12000
5) None of these
1) Rs. 36000
3) Rs. 36800
5) None of these
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1. A certain amount earns simple interest of Rs.
1,750 after 7 years. Had the interest been 2
% more, how much more interest would it
have earned?
(Canara Bank PO Exam. 09.02.2003)
1) Rs. 35
2) Rs. 350 3) Rs. 245
4) Cannot be determined
5) None of these
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3. The simple interest accrued on an amount of
Rs. 2,500 at the end of six years is Rs. 1,875.
Then what would be the simple interest
accrued on an amount of Rs. 6,875 at the
same rate and same period?
(PNB Agriculture Officer Exam. 04.01.2009)
1) Rs. 4,556.5
2) Rs. 5,025.25
3) Rs. 4,895.25
4) Rs. 5,245.5
5) None of these
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4. What amount a man would have received on
a principal of Rs. 4,000 after two years at
simple interest at the rate of 5 percent per
annum?
(Corporation Bank PO Exam. 22.11.2009)
1) Rs. 4,161
2) Rs. 5,200
3) Rs. 4,400
4) Rs. 4,100
5) Rs. 4,190
5. Shamita took a loan at simple interest rate of
6 p.c.p.a. in the first year and it increased by
1.5 p.c.p.a. every year. If she pays Rs. 8,190
as interest at the end of 3 years, what was her
loan amount?
(Indian Bank Rural Marketing Officer Exam.
03.01.2010)
8. What total amount would Mithilesh get at
the end of three years if he invests an amount
of Rs. 11,200 in a scheme which offers
simple interest at the rate of 8.5 p.c.p.a. for
three years?
(Indian Bank PO Exam. 02.01.2011)
1) Rs. 14,056
2) Rs. 14,348
3) Rs. 13,852
4) Rs. 15,064
5) None of these
9. Ravi borrowed some money at the rate of 4
p.c.p.a. for the first three years, at the rate of
8 p.c.p.a. for the next two years and at the
rate of 9 p.c.p.a. for the period beyond 5
years. If he pays a total simple interest of Rs.
19,550 at the end of 7 years, how much
money did he borrow?
(Punjab & Sind Bank PO Exam. 23.01.2011)
1) Rs. 39,500
2) Rs. 42,500
3) Rs. 41,900
4) Rs. 43,000
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17. Two equal sums of money were invested,
one at 4 % and the other at the end of 7 yr,
the simple interest received from the latter
exceeded that received from the former by
Rs. 31.50. Each sum was?
1) Rs. 1000 2) Rs. 500 3) Rs. 750
4) Rs. 900 5)None of these
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12. Srinivasan invests two equal amounts in two
banks giving 10% and 12% rate of interest
respectively. At the end of year the interest
earned is Rs. 1650. Find the sum invested in
each.
(SBI Associate Banks PO Exam. 16.17.2000)
1) Rs. 8,500
2) Rs. 15,000
3) Rs. 7,500
4) Rs. 17,000
5) None of these
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11. A sum of Rs. 5000 amounts to Rs. 6,050 in
two years. Then what is the rate of interest?
(SBI Associate Banks PO Exam. 16.17.2000)
1) 15% p.a.
2) 13% p.a.
3) 11% p.a.
4) 21% p.a.
5) None of these
16. I derive an annual income of Rs. 688.25
from Rs. 10000 invested partly at 8% per
annum and partly at 5% per annum simple
interest. How much of my money is invested
at 5 %?
1) Rs. 3725
2) Rs. 4225
3) Rs. 4800
4) Rs. 5000
5) None of these
n.
10. Mr. A lends 40 % of sum at 15% p.a. 50% of
rest sum at 10% p.a. and the rest at 18% p.a.
rate of interest. Then what would be the rate
of interest if the interest is calculated on the
whole sum?
(SBI Associate Banks PO Exam. 16.17.2000)
1) 13.4% p.a.
2) 14.33% p.a.
3) 14.4% p.a.
4) 13.33% p.a.
5) None of these
amount invested by Veena?
(SBI Associate Banks PO Exam. 27.04.2008)
1) Rs. 17,180
2) Rs. 18,110
3) Rs. 16,660
4) Rs. 17,450
5) None of these
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5) None of these
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13. Rs.800 becomes Rs. 956 in 3 years at certain
simple rate of interest. If the rate of interest
is increased by 4%, then what amount will
Rs.800 become in 3 years?
(SBI PO Exam. 26.11.2006)
1) Rs. 1020.8
2) Rs. 1025
3) Rs. 1052
4) Data Inadequate
5) None of these
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14. A certain amount earns simple interest of Rs.
1,750 after 7 years, had the interest been 2%
more, how much more interest would it have
earned?
(SBI Associate Banks PO Exam. 07.01.2007)
1) Rs. 35
2) Rs. 350 3) Rs. 245
4) Cannot be determined
5) None of these
15. Veena obtained an amount of Rs.8,376 as
simple interest on a certain amount at 8
p.c.p.a. after 6 years. Then what is the
18. What total amount would Mohan get at the
end of three years if he invests an amount of
Rs. 11,200 in a scheme which offers simple
interest at the rate of 8.5 percent per annum
for three years?
1) Rs. 14,348
2) Rs. 14,056
3) Rs. 13,852
4) Rs. 15,064
5) None of these
19. Ravi gave Rs. 1200 on loan. Some amount
he gave at 4% per annum simple interest and
remaining at 5 % per annum simple interest.
After two years, he got Rs. 110 as interest.
Then, the amounts given at 4% and 5% per
annum simple interest are, respectively?
1) Rs. 500, Rs. 700 2) Rs. 400, Rs. 800
3) Rs. 800, Rs. 300 4) Rs. 1100, Rs. 1100
5) None of these
20. Two equal sums of money are lent at the
same time at 8% and 7% per annum simple
interest. The former is recovered 6 months
earlier than the latter and the amount in each
case is Rs. 2560.The sum and the time for
which the sums of money are lent out are:
1) Rs. 2000, 3.5 yr and 4 yr
2) Rs. 1500, 3.5 yr and 4 yr
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27. The present worth of bill due 7 months,
hence is Rs. 1200. If the bill were due at the
1
end of 2 year, its present worth would be
2
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22. A computer is available for Rs.39000 cash or
Rs.17000 as cash down payment followed
by five monthly instalments of Rs.4800
each. Then what is the rate of interest per
annum under the instalment plan?
1) 35.71% 2) 37.71% 3) 36.71%
4) 38.71% 5) None of these
26. Anu owes Biresh Rs.1120 payable 2 yr
hence, Biresh owes Anu Rs.1081.50 payable
6 months. If they decide to settle their
accounts forth with by payment of ready
money and the rate of interest be 6% per
annum, they who should pay and how
much?
1) Anu, Rs. 70
2) Biresh, Rs. 50
3) Anu, Rs. 50
4) Biresh, Rs. 70
5) None of these
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1
amount to Birju on the same day at 8 %
2
per annum. In this transaction after a year,
Mohit earned a profit of Rs.350. Find the
sum of money lent by Sumit to Mohit.
1) Rs. 10000
2) Rs. 9000
3) Rs. 10200
4) Rs. 8000
5) None of these
n.
21. Sumit lent some money to Mohit at 5% per
annum simple interest. Mohit lent the entire
1) Rs. 552, Rs. 528, Rs. 506
2) Rs. 560, Rs. 520, Rs. 506
3) Rs. 552, Rs. 524, Rs. 506
4) Rs. 548, Rs. 528, Rs. 510
5) None of these
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3) Rs. 2000, 4 yr and 5.5 yr
4) Rs. 3000, 4 yr and 4.5 yr
5) None of these
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23. The ratio of the amount for two years under
CI annually and for one year under SI is 6:5.
When the ratio of interest is same, then the
value of the rate of interest is?
1) 12.5%
2) 18%
3) 20%
4) 16.66% 5) None of these
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24. Consider the following statements. If a sum
of money is lent at simple interest, then the
(I) money gets doubled in 5 yr, if the rate of
2
interest is 16 %.
3
(II) money gets doubled in 5yr, if the rate of
interest is 20%.
(III) money becomes four times in 10yr, if it
gets doubled in 5yr.
1) I and III are correct
2) II alone is correct
3) III alone is correct
4) II and III are correct
5) None of these
25. Divide Rs.1586 in three parts in such a way
that their amounts at the end of 2, 3 and 4 yrs
respectively, at 5% per annum simple
interest be equal?
Rs. 1016. The rate per cent of bill is?
1) 16%
4) 18%
2) 8%
3) 10%
5) None of these
28. The simple interest and the true discount on
a certain sum of a given and at a given rate
are Rs. 25 and Rs. 20 respectively. Then the
sum is?
1) Rs. 500 2) Rs. 200 3) Rs. 250
4) Rs. 100 5) None of these
29. A trader owes a merchant Rs.10028 due 1 yr,
hence the trader wants to settle the account
after 3 months. If the rate of interest is 12%
per annum, how much cash should he pay?
1) Rs. 9025 2) Rs. 9200 3) Rs. 9600
4) Rs. 9500 5) None of these
30. A person invested some amount at the rate of
12% simple interest and a certain amount at
the rate of 10% simple interest. He received
yearly interest of Rs.130. But if he had
interchanged the amounts invested, he
would have received Rs.4 more as interest.
How much did he invest at 12% simple
interest?
1) Rs.700
2) Rs. 500 3) Rs. 800
4) Rs. 400 5) None of these
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co
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39. A sum of money at simple interest amounts
to Rs.14,160 in 3 years. If the rate of interest
is increased to 25%, the same sum amounts
to Rs.14,700 in the same time. Then The rate
of interest is?
1
1) 5%
2) 5 %
3) 6%
2
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33. Prem invested a certain sum of money in a
simple interest bond whose value grew to
Rs. 300 at the end of 3 year and to Rs. 400 at
the end of another 5yr. Then what was the
rate of interest in which he invested his sum?
1) 12%
2) 12.5%
3) 6.67%
4) 8.33%
5) None of these
38. Sultan took a loan from the bank at 8% per
annum, and was supposed to pay a sum of
Rs.2240 at the end of 4 years. If the same
sum is cleared off in four equal annual
installments at the same rate, then the
amount of annual installment will be
1) Rs. 500 2) Rs. 550 3) Rs. 600
4) Rs. 1000 5) None of these
n.
32. A sum was put at simple interest at a certain
rate for 3 year. Had it been put at 1% higher
rate, it would have fetched Rs.5100 more.
The sum is?
1) Rs. 170000
2) Rs. 150000
3) Rs. 125000
4) Rs. 120000
5) None of these
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31. The effective annual rate of interest
corresponding to a nominal rate of 8% per
annum payable half yearly is?
1) 8%
2) 8.01%
3) 8.13%
4) 8.16%
5) None of these
includes the interest every six months for
calculating the principal. If he is charging an
interest of 10%, the effective rate of interest
becomes?
1) 10%
2) 10.25% 3) 10.5%
4) 10.35% 5) None of these
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34. If Rs.1000 be invested at interest rate of 5%
and the interest be added to the principal
after 10 yr, then the number of years in
which it will amount to Rs.2000 is?
2
1
1) 16 yr
2) 16 yr
3) 16 yr
3
4
4) 11 yr
5) None of these
5) None of these
40. Simple interest on a certain sum at a certain
annual rate of interest is 16% of the sum. If
the numbers representing rate percent and
time in years be equal, then the rate of
interest is?
1) 4%
2) 6%
3) 4.5%
4) 6.5%
5) None of these
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35. A sum of Rs. 7700 is to be divided among
three brothers Sunil, Sumanth and Surat in
such a way that simple interest on each part
at 5% per annum after 1, 2 and 3 year
respectively remains equal. The share of
Sunil is more than that of Surat by?
1) Rs. 2800 2) Rs. 2500 3) Rs. 3000
4) Rs. 2700 5) None of these
4) 7%
36. What will be the ratio of simple interest
earned by a certain amount at the same rate
of interest for 6 years and 9 years?
1) 1 : 3
2) 1 : 4
3) 2 : 3
4) Data Inadequate
5) None of these
37. An automobile financier claims to be
lending money at simple interest but he
Answers
1. (4)
Le the principal be Rs. x and rate of interest
be r%
x×r×7
= 1750
Case I:
100
1750 × 100
⇒ xr =
= Rs. 25000
7
Case II:
x × (r + 2) × 7
S.I =
100
Which cannot be determined with the help
of given information.
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SI × 100
Time × Rate
1200 × 100
=
= Rs.37.50
4×8
New principal = 3 × 3750 = Rs. 11250
Pr incipal × Time × Rate
∴ S.I =
100
Pr incipal =
11250 × 3 × 6
= Rs.20.25
100
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=
8. (1)
Pr incipal × Time × Rate
100
11200 × 3 × 8.5
=
= Rs.2856
100
n.
∴ S.I =
∴ Required amount = Rs. (11200 + 2856)
= Rs. 14056
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3. (5)
SI on Rs. 2500 for 6 years at a certain rate =
Rs. 1875
⇒ SI on Rs. 6875 for the same period at the
1875 × 6875
same rate =
= Rs.5156.25
2500
7. (1)
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2. (4)
Let the sum borrowed at the rate of 12
p.c.p.a. be Rs. x.
∴ Sum borrowed at 10 p.c.p.a.
= Rs. ( 30000 – x )
Simple interest = Rs. (36480 – 30000)
= Rs. 6480
According to the question.
x × 2 × 12 (30000 − x )× 2 × 10
+
= 6480
100
100
⇒ 24x + 600000 – 20x = 648000
⇒ 4x = 648000 – 600000 = 48000
48000
⇒x=
= 12000
4
4. (3)
Pr incipal × Time × Rate
100
⎛ 4000 × 2 × 5 ⎞
= Rs.⎜
⎟ = Rs.400
100
⎝
⎠
∴ Amount received = Rs. (4000 + 400)
= Rs. 4400
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S.I. =
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5. (5)
Let the loan amount be Rs. x.
x × 6 × 1 x × 7.5 × 1 x × 9 × 1
∴ 8190 =
+
+
100
100
100
22.5 x
⇒
= 8190
100
8190 × 100
⇒x=
= Rs.36400
22.5
6. (4)
According to the question,
P × R × 6 P × R × 4 150
=
+
100
100
100
The relation gives no result.
9. (2)
If the amount borrowed be Rs. x, then
x × 4× 3 x × 8× 2 x × 9× 2
=
+
+
= 19550
100
100
100
12x 16x 18x
+
+
= 19550
100 100 100
⇒ 12x + 16x + 18x = 1955000
⇒ 46x = 1955000
1955000
⇒x=
= Rs.42500
46
⇒
10. (3)
Let the amount be Rs. x Investment is done
as given below.
40
60x
x=
Amount left = x −
100
100
40
× at 15% p.a.
100
50
60x 30x
at 10% p.a.
=
of
100 100 100
Rest amount
40x 30x 30x
at 18% p.a.
=x−
−
=
100 100 100
Interest earned by each at end of 1 year
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By 1st ⇒
15 40x 60x
×
=
100 100 1000 By
2nd
10 30x 30x
×
=
100 100 1000
18 30x 54x
By 3rd ⇒
×
=
100 100 1000
144x
Total interest =
1000
144x
∴Rate% = 1000 ×100= 14.4%
x
⇒
Case II : S.I =
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15. (4)
Let the amount invested by Veena be Rs. x.
SI × 100
∴Principal =
Time × Rate
8376 × 100
=
= Rs.17450
6×8
2
121
R 110
= 1+
=
100
100 10
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R
11
= −1
100 10
1
R = × 100 = 10%
10
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2
.s
12. (3)
Let sum be Rs.x
According to the question,
x × 10 × 1 x × 12 × 1
+
= 1650
100
100
22x = 1650 × 100
1650 × 100
x=
= 7500
22
17. (4)
Let each sum be Rs. x, then
1
x×4 ×7
x × 4× 7
2
−
= 31.50
100
100
w
7x 1 63
× =
100 2 2
⇒ x = Rs. 900
w
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⇒
18. (2)
13. (3)
Increase is interest in 3 years due to increase
in rate by 4%
800 × 3 × 4
=
= Rs.96
100
Total amount at the end of 3 years
= Rs. 956 + Rs. 96 = Rs. 1052
14. (4)
16. (1)
Let money invested at 5% be Rs. x.
According to question,
x × 1 × 5 (10000 − x )× 1× 8
+
= 688.25
100
100
⇒ 5x – 8x – 80000 = 68825
⇒ 3x = 11175
⇒ x = Rs. 3725
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6,050 ⎡
R ⎤
= ⎢1 +
5,000 ⎣ 100 ⎥⎦
n.
T
R ⎤
⎡
6,050 = 5,000P ⎢1 +
⎣ 100 ⎥⎦
x × (r + 2 )× 7
100
Which cannot be determined with the help
of given information.
11. (5)
R ⎤
⎡
A = P ⎢1 +
⎣ 100 ⎥⎦
Let the principal be Rs.x and rate of interest
be r%
x×r×7
= 1750
Case I : =
100
1750 × 100
⇒ xr =
= Rs. 25000
7
S.I. =
Pr incipal × Time × Rate
100
11200 × 3 × 8.5
= Rs.2856
100
∴ Required Amount = 11200 + 2856
= Rs. 14056
=
19. (1)
Let the amount given at 4% per annum be
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20. (1)
Let each amount be Rs. x and time be t yr.
8
⎛ 1⎞
Then, x + ⎜ t − ⎟ × x ×
100
⎝ 2⎠
⇒1+
55R
24R
= 12 +
1200
1200
55R 24R
−
=1
1200 1200
31R
⇒
=1
1200
⇒
⇒R=
1200
= 38.71%
31
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23. (3)
According to question,
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sh
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1
∴ First money was lent for 4 − = 3.5 yr.
2
3.5 × x × 8
∴ Amount = x +
= 2560
100
x = Rs. 2000
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21. (1)
According to question
1
8 % − 5% = 350
2
350
∴100% =
× 100 = Rs.10000
3.5
w
5R ⎞
4R ⎫
⎛
⎧
⇒ ⎜1 +
⎬ 12
⎟11 = ⎨1 +
⎝ 1200 ⎠
⎩ 2400 ⎭
tio
x+t+7
=x+
100
2xt x 7xt
⇒
−
=
25 25 100
xt
x
⇒
=
100 25
⇒ t = 4 yr.
5R ⎞
4R ⎫
⎛
⎧
⎬ 5 × 4800
⎜1 +
⎟ 22000 = ⎨1 +
⎝ 1200 ⎠
⎩ 2400 ⎭
co
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∴ Amount given at 5% per annum
= Rs. ( 1200 – x )
x × 4 × 2 (1200 − x )× 5 × 2
+
= 110
100
100
−2x + 12000
⇒
= 110
100
⇒ x = Rs. 500
Also, (1200 – x) = 1200 – 500 = Rs. 700
⎧ (n − 1)R ⎫⎪
nR ⎞
⎛
∴ ⎜1 +
=
BD
⎨1 +
⎬ nP
⎟
2400 ⎪⎭
⎝ 1200 ⎠
⎩
n.
Rs. x.
22. (4)
According to question cash price, CP = Rs.
39000
Cash down payment,
DP = Rs. 17000
Balance due, after 1st instalment,
BD = Rs. 22000
P = value of instalment = Rs. 4800
n = no. of instalments = 5
R = rate of interest
2
r ⎞
⎛
P ⎜1 +
⎟
⎝ 100 ⎠ = 6
Pr ⎞
5
⎛
⎜P +
⎟
100 ⎠
⎝
r ⎞ 6
⎛
= ⎜1 +
⎟ = ⇒ r = 20%
⎝ 100 ⎠ 5
24. (2)
Let the sum of money lent be Rs. P
Then,
I. S.I. received after 5 yr
P × 50 × 5 5
=
= P
3 × 100
6
5
11P
Amount after 5 yr = P + P =
6
6
Therefore, I is not correct.
II. SI after 5 yr = P + P = 2P
Therefore, II is correct.
III. Amount after 10 yr. at the rate of 20%
P × 20 × 10
=P+
= P + 2P = 3P
100
Therefore, III is not correct.
Hence, (2) is correct option.
25. (1)
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n.
y 1.2 24
=
=
z 1.15 23
⇒ x : y : z = 276 : 264 : 253
276
⇒x=
× 1586 = Rs.552
793
264
⇒y=
× 1586 = Rs.528
793
253
⇒z=
× 1586 = Rs.506
793
Hence, the required three parts are Rs. 552,
Rs. 528 and Rs. 506.
29. (2)
Let the present value of money be x.
Then,
x × 12
⇒
+ x = 10028
100
⇒ 0.12 x + x = 10028
10028
⇒x=
1.12
This amount after 3 months
10028
× 12 × 3
1.12
=
+ 10028
12 × 100
10028 × 3 10028
=
+
1.12 × 100 1.12
10028 × 103
=
= 9222.17
112
= Rs. 9200
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⇒
28. (4)
Let that amount be Rs. x and rate is r%
then, for simple interest
x×r
= 25
100
⇒ x × r = 2500
For true discount
(x − 20 )× r
= 20
100
x × r − 20r
⇒
= 20
100
⇒ xr – 20r = 2000
From eqs. (i) and (ii), we get
2500 – 20r = 2000
⇒ r = 25%
From eqs(i)
x × 25 = 2500
⇒ x = 100
tio
Let the three parts be Rs. x, Rs. y, Rs. z.
According to question,
x × 2×5
y × 3× 5
z× 4×5
x+
= y+
= z+
100
100
100
⇒ 1.1 x = 1.15 y = 1.2 z
x 1.15 23
⇒ =
=
y 1.1 22
26. (2)
According to the question, Present worth of
money for Anu
P × 6× 2
⇒ P = Rs.1000
100
Present worth of money of Biresh
P × 6 ×1
1081.50 − P =
2 × 100
108150 – 100P = 3P
P = Rs. 1050
∴ Biresh should pay Rs. 50
w
.s
ak
sh
i
1120 − P =
w
w
27. (3)
Let the rate of interest be r%.
Then,
1200 × r × 7
A = 1200 +
12 × 100
⇒ A = 1200 + 7r
1200 × r × 25
Again 1200 + 7r = 1016 +
100
⇒ 1200 + 7r = 1016 + 25.4r
⇒ 18.4r = 184
184
∴r =
= 10%
18.4
30. (2)
Amount is invested at 12 % = Rs. x
Amount invested at 10% = Rs. y
x × 12 × 1 y × 10 × 1
⇒ 130 =
+
100
100
⇒ 13000 = 10x + 12y.......(i)
and, 134 =
www.sakshieducation.com
x × 10 × 1 y × 12 × 1
+
100
100
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⇒ 13400 = 10x + 12y......... (ii)
⇒T=
31. (4)
Rate of 8% per annum payable half yearly.
So, effective rate = 4 %
Effective annual rate
4× 4
= 4+ 4+
= 8.16%
100
32. (1)
5100
= Rs.1700
3
n.
1 % of sum 1700
1700 × 100
∴ Sum =
= Rs. 170000
1
35. (1)
Let sunil, Sumant and Surat get x, y and z
amount respectively.
x + 5 ×1 y + 5 × 2 z + 5 × 3
=
=
100
100
100
⇒ x = 2y = 3z
⇒x:y:z=6:3:2
6−2
∴ Re quired Amount =
× 7700
6+3+ 2
ed
uc
a
33. (4)
Let principle be P and rate of interest is r.
Then,
P×r×3
+ P = 300..........(i)
100
36. (3)
According to question, here rate of interest is
same and principal is also same.
Required ratio = 6 : 9 = 2 : 3
tio
Simple interest for 1 yr =
2
∴ TotalTime = 16 yr
3
co
m
Solving Eqs. (i) and (ii), we get x = Rs. 500
So, amount invested at 12 % is Rs. 500.
500 × 100
2
× 6 yr
1500 × 5
3
P× r ×8
+ P = 400...........(ii)
100
Substracting Eq. (i) from Eq. (ii). we get
P×r×5
= 100
100
∴ P × r = 2000
From Eq. (i),
2000 × 3
+ P = 300 ⇒ P = Rs.240
100
∴ 240 × r = 2000
⇒ r = 8.33%
w
w
.s
ak
sh
i
and,
w
34. (1)
According to question, SI for
1000 × 5 × 10
10yr =
= Rs.500
100
Now,
P = Rs. 1500,
A = Rs. 2000
∴ SI = Rs. 500
500 × 5 × T
∴ 500 =
100
37. (2)
According to question, S.I. on Rs. 100 at
10% for six months
100 × 10 × 6
= Rs. 5
100 × 12
Principal for next six months = Rs. 105
105 × 10 × 6
∴ S.I =
= Rs. 5.25
100 × 12
∴ Total interest = Rs. 10.25
38. (1)
Let the annual payment be Rs. x. Since the
first instalment is to be paid after 1 year, the
sum of amounts of Rs. x for 3 years, of Rs.
x for 2 years, of Rs. x for 1 year and Rs. x
gives the amount of debt.
Now, amount of Rs. x for three years
x ×8× 3⎤
⎡
⎛ 31x ⎞
= Rs. ⎢ x +
=
Rs.
⎜
⎟
100 ⎥⎦
⎣
⎝ 25 ⎠
Amount of Rs. x for 2 years
x × 8× 2 ⎤
⎡
⎛ 29x ⎞
= Rs. ⎢ x +
= Rs.⎜
⎟
⎥
100 ⎦
⎣
⎝ 25 ⎠
Amount of Rs. x for 1 year
x × 8 ×1 ⎤
⎡
⎛ 27x ⎞
= Rs. ⎢ x +
=
Rs.
⎜
⎟
100 ⎥⎦
⎣
⎝ 25 ⎠
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www.sakshieducation.com
12000 × r × 3
= 14160
100
⇒ 120 × 3 × r = 14160 – 12000 = 2160
2160
⇒r=
= 6%
120 × 3
⎛ 31x 29x 27x
⎞
∴⎜
+
+
+ x ⎟ = 2240
25
25
⎝ 25
⎠
12000 +
31x + 29x + 27x + 25x
= 2240
25
112x
⇒
= 2240
25
⇒
Pr× 3
= 14160.....(i)
100
5r× 3
P + P×
= 14700.....(ii)
400
P+
16x × 100
100x × R
tio
⇒ R 2 = 16
ed
uc
a
⇒ R = 4% Per annum
w
w
w
.s
ak
sh
i
5
⇒ P + (14160 − P) = 14700
4
⇒ 4P + 70800 – 5P = 58800
⇒ P = 70800 – 58800 = 12000
∴ From equation (i).
⇒R =
n.
39. (3)
co
m
40. (1)
Let the sum be Rs. x
16x
S.I = Rs.
100
Rate = Time = R
S.I × 100
∴ Rate =
Pr incipal × Time
2240 × 25
⇒x=
= Rs.500
112
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