Quantitative Aptitude For SSC Tier - II and SSC CHSL Exam



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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