Quantitative Questions - 5

Quantitative Questions on Profit & Loss 

1. The cost price of an article is 80% of its marked price for sale. How much per cent does the  tradesman gain after allowing a discount of 12%? 
  • (a) 20
  • (b) 12
  • (c) 10
  • (d) 8
  • (e) none of these
Ans: (c)
Let MP = 100, CP = 80
SP = 88
P %  = 10%

2. A reduction of 10% in the price of tea enables a dealer to purchase 25 kg more tea for Rs. 22, 500/- what is the reduced price per kg of tea? 
  • (a) Rs. 70/-
  • (b) Rs. 80/-
  • (c) Rs. 90/-
  • (d) Rs. 100/-
  • (e) none of these
Ans: (c) 
25 kg = 2250
1 kg = 90

3. An article is sold at a certain fixed price. By selling it at 2/3 of that price, one losses 10%. The gain percent on selling it at the original Price is: 
  • (a) 20
  • (b) 33.33 
  • (c) 35
  • (d) 40
  • (e) none of these
Ans: (c)
Let CP = 100
2/3 SP = 90
SP = 135
P% = 35%

4. A sells an article to B for Rs. 45, 000/- losing 10% in the transaction. B sells it to C at a price which would have given a profit of 10% to A. By what per cent does B gain?  
  • (a) 75/2
  • (b) 100/3
  • (c) 200/9
  • (d) 150/7
  • (e) none of these
Ans: (c)

5. A person bought a horse and a carriage for Rs. 20,000. Later, he sold the horse at 20% profit and the carriage at 10% loss. Thus, he gained 2% in the whole transaction. The cost price of the horse was
  • (a) Rs. 7, 200/-  
  • (b) Rs. 7, 500/-
  • (c) Rs. 8, 000/-
  • (d) Rs. 9, 000/-
  • (e) none of these
Ans: (c) 
Let CP of Horse = x
According to questions
X * 20/100 – (20,000 – x) *  10/100 = 20, 000 * 2/100
x = 8,000

6.  A merchant has announced 25% rebate on prices of ready- made garments at the time of sale. If a purchase need to have a rebate of Rs. 400/-, then how many shirts, each costing Rs. 320/-, should he purchase? 
  • (a) 10
  • (b) 7
  • (c) 6
  • (d) 5
  • (e) none of these
Ans: (d)
The cost of rebate of on a shirt = 25/100 * 320 = 80
No of shirts for taking the rebate of Rs. 400
= 400/80 = 5

7. A merchant purchases a wristwatch for Rs. 450/- and fixes its list price in such a way that after allowing a discount of 10%, he earns a profit of 20%. Then the list price (in rupees) of the wristwatch is :
  • (a) 500
  • (b) 600
  • (c) 750
  • (d) 800
  • (e) none of these
Ans: (b)
MP = 450 * 120/100 * 100/90 = 600

8. A sells an article to B at 15% profit. B sells it to C at 10% loss. If C pays Rs. 517.50/-  for it then A purchased it at: 
  • (a) Rs. 500/-
  • (b) Rs. 7,50/-
  • (c) Rs. 1,000/-
  • (d) Rs. 1, 250/-
  • (e) none of these
Ans: (a)
Let CP of A be x Rs
According to questions
115x/100 * 90/100 = 517.5
x  = 500

9. Ram donated 4% of his income to a charity and deposited 10% of the rest in a Bank. If now he has Rs. 8, 640/- left with him, then his income is: 
  • (a) Rs. 12, 500/-
  • (b) Rs. 12, 000/-
  • (c) Rs. 10, 500/-
  • (d) Rs. 10, 000/-
  • (e) none of these
Ans: (d)
Le income of Ram = x
So, x = 94/100 * 90/100 = 8640
x = 10, 000

10. If the length of a rectangle is increase by 10% and its breadth is decreased by 10%, then its area :
  • (a) Decreased by 1%
  • (b) Increases by 1%
  • (c) Decreases by 2%
  • (d) Remains unchanged
  • (e) none of these
Ans: (a) 
10 – 10 – (10 * 10)/ 100 = -1