Assignment
Profit, Loss, Discount and Compound Interest
1. (a) An article was bought for Rs 2000 and sold for Rs 2200. Find the
gain and gain %.
(b) After allowing a discount of 12 % on the market price of an article, it
is sold for Rs 880. Find its marked price.
(c) By selling a chair for Rs 330, a trader gains 10 %. Find the cost price
of the chair.
2. (a) By selling a saree for Rs 2000 the shopkeeper made a profit of 25 % .
What was the cost price of the saree ?
(b) Mohan bought a cycle for Rs 2400. At what price should he sell it to
make a profit of 8 % ?
(c) A shopkeeper offers his customers 10 % discount and still makes a
profit of 26 %. What is the actual cost to him of an article marked
Rs 280 ?
3. (a) Compute the amount and the compound interest when principal
= Rs 3000, Rate = 5 %, Time = 2 years .
(b) In what time will Rs 1000 become Rs 1331 at 10 % per annum
compounded annually ?
(c) Find the principal if the interest compounded annually at the rate of
10 % for 2 years is Rs 210.
4. (a) What rate of compound interest will a sum of money become
125
time of itself in 3 years ?
64
1
Assignment
(b) There is continuous growth in population of a village at the rate of 5 %
per annum. If its present population is 9261, what it was 3 years ago ?
(c) In what time will Rs 2400 amount to Rs 2646 at 10 % per annum
compounded semi-annually ?
5. (a) A shopkeeper purchased a T.V. for Rs 2000 and a radio for Rs 750.
He sells the T.V. at a profit of 20 % and radio at a loss of 5 %. What is
his total loss or gain ?
(b) A dealer buys a wrist watch for Rs 225 and spends Rs 15 on its repairs.
If he sells the same for Rs 300 find his profit per cent.
(c) If a man were to sell his hand-cart for Rs 720, he would lose 25 %.
What must he sell it for to gain 25 % ?
6. (a) Find the compound interest on Rs 24000 at 15 % per annum
for 2
1
years.
3
(b) A certain sum invested at 4 % per annum compounded semi-annually
amounts to Rs 7803 at the end of one year. Find the sum.
(c) Shyam deposited in a bank Rs 7500 for 6 months at the rate of 8 %
interest compounded annually. Find the amount, he received after
6 months.
7. (a) A sum amounts to Rs 9680 in 2 years and to Rs 10648 in 3 years
compounded annually. Find the sum (principal) and the rate of interest
per annum.
(b) Shyam bought two buffaloes for Rs 30000. By selling one at a loss
of 15 % and other at a gain of 19 %, he found that selling price of
both buffaloes is the same. Find the cost price of each.
2
Assignment
8. (a) Mohan bought 20 dining tables for Rs 12000 and sold them at a profit
equal to the S.P. of 4 dining tables. Find the S.P. of 1 table.
(b) Find the compound interest at the rate of 10 % per annum for four
years on the principal which in four years at the rate of 4 % per annum
gives Rs 1600 as simple interest.
9. (a) If a shopkeeper marks the price of goods 50 % more than their cost
price and allows a discount of 40 %. What is his gain or loss per cent ?
(b) By reducing the selling price of an article by Rs 50, a gain of 5 % turns
into a loss of 5 %. Find the original selling price of the article.
10. (a) Two successive discounts of 20 % and 5 % are allowed on an
article whose net selling price is Rs 380. Find its marked price.
(b) Vivek bought a refrigerator for Rs 4000 on credit. The rate of
interest for the first year is 5 % and of the second year is 15 %.
How much will it cost him if he pays the amount after two years ?
11. (a) Find the amount and the compound interest on Rs 8000 for 1
1
years at
2
10 % per annum, compounded half yearly.
(b) If the C.P. of 15 books be equal to the S.P. of 20 books find the loss %.
(c) The marked price of a ceiling fan is Rs 720. During off season, it is
sold for Rs 684. Determine the discount per cent.
3
Assignment
Answers
1. (a) Rs 200, 10 %
(b) Rs 1000
(c) Rs 300
2. (a) Rs 1600
(b) Rs 2500
(c) Rs 200
3. (a) CI = Rs 307.50, Amount = Rs 3307.50
(b) 3 years
(c) Rs 1000
4. (a) 25 %
(b) 8000
(c) 1 year
5. (a) Rs 362.50 gain
(b) 25 %
(c) Rs 1200
6. (a) Rs 9327
(b) Rs 7500
(c) Rs 7803
7. (a) Rs 8000, 10 %
(b) Rs 17500, Rs 12500
8. (a) Rs 750
(b) Rs 4641
9. (a) 10 % loss
(b) Rs 525
10 (a) Rs 500
(b) Rs 4830
11. (a) Rs 9261, Rs 1261
(b) 25 %
4
(c) 5 %
Assignment