Cognizant Previous Years Question Bank 1

Find solutions for all the questions at the end of each set:

Set A


1. A dealer marks his goods at 40% above the cost price and allows a discount of 20% on the marked price. The dealer has a
(a) loss of 20%
(b) gain of 25%
(c) loss of 20%
(d) gain of 12%

2. The marked price of an article is 20% more than its cost price. A discount of 20% is given on the marked price. In this kind of sale, the seller bears
(a) no gain, no loss
(b) a loss of 4%
(c) a gain of 4%
(d) a gain of 8%

3. A shopkeeper fixed a price of an article 25% more of its cost price and then allowed 10% discount. The actual profit percent is
(a) 15%
(b) 13%
(c) 12.5%
(d) 12%

4. After allowing a discount of 16%, there was still a gain of 5%. Then the percentage of marked price over the cost price is
(a) 15%
(b) 18%
(c) 21%
(d) 25%

5. To gain 8% after allowing a discount of 10% by what percent cost price should be hiked in the list price?
(a) 9%
(b) 11%
(c) 18%
(d) 20%

6. A discount of 20% on one article is the same as a discount of 25% on another article the cost prices of two articles respectively can be (in Rs.) : 
(a) 1000, 800
(b) 600, 800
(c) 500, 700
(d) 900, 1000

7. A bookseller makes 8 % profit after selling the book at 10% discount. The ratio of the cost price to the marked price is
(a) 5 : 6
(b) 6 : 5
(c) 4 : 5
(d) 5 : 4

8. A shopkeeper marks an article at Rs.60 and sells it at a discount of 15%. He also gives a gifts worth  Rs. 3. If he still makes 20% profit, the cost price, in rupees, is
(a) 22
(b) 32
(c) 40
(d) 42

9. A shopkeeper lists the price of an article as Rs.500. But he gives a certain discount which allows the buyer to pay Rs. 500 for the article including 10% sales tax. The rate of discount is
(a) 10%
(b) 10 (1/11)%
(c) 9 (1/11)%
(d) 11%

10. A retailer buys 40 pens at the marked price of 36 pens from a wholesaler. If he sells these pens giving a discount of 1%, his percentage of profit is
(a) 10%
(b) 11%
(c) 11 (1/9)%
(d) 12%



Answers and Solutions:
1.  (d)
% gain or loss = 40-20+(40*-20)/100 = 12% gain

2.  (b)
% gain or loss = 20-20+(20*-20)/100 = -4% loss

3.  (c)
Profit percent = 25-10+(25*-10)/100 = 12.5%
4.  (d)
If C.P. is Rs. 100 then S.P. = Rs.105
so marked price*84/100 = 105
so marked price = (105*100)/84 125
so marked price is 25% over the cost price

5.  (d)
6.  (a)
7.  (a)
8.  (c)
9.  (c)
10. (a)
let the marked price of 36 pens is = 36
so cp of 40 pens = 36
and marked price of 40 pens = 40
s.p. of 40 pens on a discount of 1% = (40*99)/100 = 39.6
total profit = 39.6 -36 = 3.6
so % profit = (3.6 *100)/36 = 10%



Find solutions for all the questions at the end of each set:

Set B


1. 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. 7200
(B) Rs. 7500
(C) Rs. 8000
(D) Rs. 9000

2. 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. 750
(C) Rs. 1000
(D) Rs. 1250

3. 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

4. A merchant has announced 25% rebate on prices of readymade garments at the time of sale. If a purchaser needs 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

5. A sum of money, deposited at some rate per cent per annum of compound interest, doubles itself in 4 years. In how many years will it become 16 times of itself at the same rate?
(A) 16
(B) 12
(C) 10
(D) 8

6. The simple and compound interests on a sum of money for 2 year are Rs. 8400 and Rs. 8652 respectively. The rate of interest per annum is
(A) 6%
(B) 7.5%
(C) 9%
(D) 4.5%

7. A man can row against the current three-fourth of a kilometre in 15 minutes and returns the same distance in 10 minutes. The ratio of his speed to that of the current is
(A) 3 : 5
(B) 5 : 3
(C) 1 : 5
(D) 5 : 1

8. When the price of a toy was increased by 20%, the number of toys sold was decreased by 15%. What was its effect on the total sales of the shop?
(A) 2% increase
(B) 2 % decrease
(C) 4% increase
(D) 4% decrease

9. A person sold a horse at a gain of 15%. Had he bought it for 25% less and sold it for Rs. 60 less, he would have made a profit of 32%. The cost price of the horse was
(A) Rs. 370
(B) Rs. 372
(C) Rs. 375
(D) Rs. 378

10. A sells an article to B at a gain of 25% B sell it to C at a gain of 20% and C sells it to D at a gain of 10%. If D pays Rs. 330 for it, how much did it cost to A?
(A) Rs. 200
(B) Rs. 250
(C) Rs. 275
(D) Rs. 290

Answers and Solution:
1 (C)
If the cp of horse be Rs. x
then,
Cp of carriage = Rs. (20000-x)
so x*120/100 + (20000-x)*90/100
= 20000*102/100
=> 120x+1800000-90X
so x = Rs.8000

2 (A)
If an article is old to B at x% profit/loss and B sells the same to C at y% profit/loss,
then C's C.P.
=A's C.P (100±x)/100*(100±y)/100
so A's C.P = C's CP
(100/100+15)(100/100-10)
= 517.50*100/115*100/90 = Rs.500

3 (C)
4 (D)
Discount at the shirt costing Rs.320
= (320*25)/100 = Rs. 80
So Number of shirts for a rebate of Rs.400= 400/80 =5

5 (A)
2 = 1(1+R/100)^4
=> 2^4 = 1(1+R/100)^16
so T = 16 years

6 (A)
Difference = Rs.(8652-8400) = Rs. 252
so Rate = (2*difference)/S.I*100
= 2*252/8400*100 = 6%
7 (D)
8 (A)
9 (C)
10 (A)
A' CP = 330*110/125*100/120*100/110 = Rs.200


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