# Quantitative Aptitude: Profit and Loss Set 28

1. A person sold an article earned a profit of rs.2500 after giving a discount of 25%. If he had sold it for rs.500 more he would have earned a profit of 60%, then what is the cost price of the article ?
6500
6000
5500
7500
5000
Option E
Let MP of an article = 4x
SP of an article = 4x – x = 3x
profit = 2500
CP = 3x – 2500
If he sold it rs.500 more,
3x + 500 = (3x – 2500)8/5
15x + 2500 = 24x – 20000
9x = 22500
x = 2500
CP = 3x – 2500 = 5000

2. A shopkeeper marked a book 40% above the cost price and sold it after giving a discount of 30%, so that he made a loss of rs.4, what is the marked price of the article ?
240
420
280
300
320
Option C
Let CP a book = 100x
MP = 100x * 140/100 = 140x
SP = 140x * 70/100 = 98x
loss = 100x – 98x = 2x
2x = 4
x = 2
MP = 140x = 140 * 2 = 280

3. A dishonest salesman professes to sell his goods at the cost price but use faulty measure. His 1kg weight measures 950gms only. Find the gain percentage ?
200/6%
15%
20%
100/19%
28%
Option D
Let CP = 950gm
SP = 1000gm
profit = 50
profit % = 50/950 * 100 = 100/19%

4. A person sells 18 chocolates, so that he losses the selling price of 2 chocolates. Find his loss percentage ?
5%
10%
8%
12%
20%
Option B
Let SP of 1 chocolate = rs.1
SP of 18 chocolate = rs.18
loss = rs.2
CP = 18 + 2 = 20
loss % = 2/20 * 100 = 10%

5. A person bought two articles for rs.2000 and rs.2500 respectively. He sold first at a gain of 10%. At what price should he sell the other to get a profit of 20% on the whole transaction ?
3200
3000
4000
4500
6500
Option A
CP of first article = 2000
SP = 2000 * 110/100 = 2200
Total CP = 2000 + 2500 = 4500
total SP = 4500 * 120/100 = 5400
SP of second article = 5400 – 2200 = 3200

6. A man sells the product for rs.800 and make some profit. If he sells it for rs.300 his loss is 2/3 of the earlier profit then what is the cost price of the product ?
400
500
650
550
740
Option B
Let CP the product = x
SP = 800
profit = 800 – x
he sells for rs.300
loss = x – 300
(800 – x)2/3 = x – 300
1600 – 2x = 3x – 900
5x = 2500
x = 500

7. A shopkeeper sells a table 4% discount on the marked price. The cost price of the table is 500 and he sells it at a profit of 20%, then what is marked price of the table ?
480
320
680
625
420
Option D
CP of the table = 500
SP = 500 * 120/100 = 600
MP = 600 * 100/96 = 625

8. Sita buys two books a total cost of rs.1400. She sells one for 3/4 of its cost and other for 2 times of its cost, so that she makes a profit of rs.400 on the whole transaction. What is the cost price of the lower price book.
600
800
500
600
700
Option D
Total CP of the book = rs.1400
total SP of book = 1400 + 400 = 1800
Let CP of one book = x
CP of other book = 1400 – x
x * 3/4 + (1400 – x)^2 = 1800
x * 3/4 + 2800 – 2x = 1800
3x + 11200 – 8x = 7200
x = 800
CP of lower price book = 1400 – 800 = 600

9. Sanju buys an old cycle for rs.1400 and spends rs.600 for its repair. After some days he sells his cycle at rs.2500, find profit percent of cycle ?
20%
25%
28%
32%
14%
Option B
CP of cycle = 1400
he spend on it = 600
total CP = 1400 + 600 = 2000
he sold it = 2500
profit percentage = 500/2000 * 100 = 25%

10. The cost price of item Q is 300 more than the cost price item P. If item P was sold at a profit of 20% and item Q was sold at a loss of 40%. The ratio between selling price of P and Q is 8 : 7. What is the cost price of item Q ?
800
700
850
640
520
Option B
Let cost price of item P = x
and item Q = x + 300
SP of item P = x * 120/100 = 6x/5
SP of item Q = (x + 300) 60/100 = (x + 300)3/5
(6x/5)/(x + 300)3/5 = 8/7
6x/5/3x + 900/5 = 8/7
42x = 24x + 7200
18x = 7200
x = 400
cost price of item Q = x + 300 = 700

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