# Quantitative Aptitude: Profit and Loss Set 27

1. the total cost price of math book and English book is 2400. If a person sold math book at profit of 20% and English book at profit of 10%, then he earned overall 13.5% profit. What is the difference between cost price of math book and English book.
840
750
720
940
500
Option C
By applying alligation method,
20% 10%
13.5%
3.5 6.5
ratio = 7 : 13
CP of math book = 2400*7/20 = 840
CP of English book = 2400*13/20 = 1560
Difference = 1560 – 840 = 720

2. The cost price of an article is rs.400 and marked price of an article is rs.480. If there are 15% discount is given on marked price, then what is profit percentage occurred by selling it ?
4%
18%
8%
2%
20%
Option D
CP of article = 400
MP of article = 480
Discount = 480 * 15/100 = 72
SP of article = 480 – 72 = 408
profit % = 408 – 400/400 * 100 = 2%

3. A man purchased two articles for rs.1250 each. He sold one at 20% profit and the other is 30% loss find the overall profit or loss percentage ?
17% loss
8% loss
5% profit
5% loss
14% profit
Option D
CP of one article = 1250
SP = 1250 * 120/100 = 1500
CP of other article = 1250
SP = 1250 * 7/10 = 875
Total CP = 1250 + 1250 = 2500
total SP = 1500 + 875 = 2375
Loss % = 125/2500 * 100 = 5%

4. The cost price of 10 books is equal to the selling price of 8 books. What is the profit percentage ?
28%
23%
25%
22%
20%
Option C
Let the CP of a one book = 10x
CP of 10 book = 100x
SP of 8 book = 100x
CP of 8 book = 80x
profit % = 100x – 80x/80x * 100 = 25%

5. The profit obtained by selling of the product for rs.500 is same as the loss when it sold for rs.350. What is the cost price of the product ?
500
475
625
425
355
Option D
Let CP of the product = x
SP = 500
profit = 500 – x
SP = 350
loss = x – 350
500 – x = x – 350
2x = 850
x = 425

6. If a table is sold at gain of 15% instead at a gain of 8%, then the seller gets rs.84 more. What is cost price of that table ?
1250
1340
1200
1480
1400
Option C
Let CP of table = 100x
when it sold at 8% profit, SP of table = 108x
When is sold at 15% profit, SP of table = 115x
115x – 108x = 84
7x = 84
x = 12
cost price of table = 100x = 100 * 12 = 1200

7. A man sells an item for rs.600 and make some profit. If he sells it for rs.390 his loss is 2/5th of earlier profit. What is the cost price of the item ?
425
550
750
450
645
Option D
Let CP of item = x
If he sells for rs.600
profit = 600 – x
If he sells for rs.390
loss = x – 390
(600 – x)2/5 = x – 390
1200 – 2x = 5x – 1950
7x = 3150
x = 450

8. Sinu sold an item for rs.7200 and he incurred a loss of 20%. At what price should he have sold an item so that to have gained a profit of 18% ?
12640
8740
10620
945
1450
Option C
SP of an item = 7200
loss = 20%
CP = 7200 * 5/4 = 9000
when he sold at profit of 18%
SP = 9000 * 118/100 = 10620

9. The marked price of the mouse is 25% more than the cost price and when it sold profit earned by shopkeeper is 12.5%. If the marked price of the mouse is rs.750, then how much amount of discount is given when it sold ?
80
82
84
75
68
Option D
MP of the mouse = 750
CP of mouse = 750/5 * 4 = 600
SP = 600 * 112.5/100 = 675
discount = 750 – 675 = 75

10. A sold an article to B at a profit of 20% and B sells it to C at a loss of 40% and C paid for rs.1440. What is the selling price for which A sold ?
4600
2400
3400
2200
1400
Option B
Let CP of an article for A = 100x
SP for A = 120x
CP for B = 120x
SP for B = 120*3/5 = 72x
C pays = 1440
72x = 1440
x = 20
SP for A = 120*20 = 2400

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