Previous Year Quantitative Aptitude For SSC Tier - II and SSC CHSL Exam

1. A person ordered 4 shirts of brand A and some shirts of brand B. The price of one shirt of brand A was twice that of brand B. When the order was executed, It was found that the numbers of the two brands has been interchanged. This increased the bill by 40%. The ratio of the number of brand A shirts to that of brand B shirts in the original order was

(a) 1 : 2

(b) 1 : 3

(c) 1 : 4

(d) 1 : 5

2. By selling an article at 3/4th of the marked price, there is a gain of 25%. The ratio of the marked price and the cost price is

(a) 5 : 3

(b) 3 : 5

(c) 3 : 4

(d) 4 : 3

3. By selling an article at 2/5 of the marked price, there is a loss of 25%. The ratio of the marked price and the cost price of the article is

(a) 2 : 5

(b) 5 : 2

(c) 8 : 15

(d) 15 : 8

4. By selling 144 hens, Mahesh suffered a loss equal to the selling price of 6 hens. His loss percent is 

(a) 4%

(b) 5%

(c) 3%

(d) 6%

5. When the price of fans was reduced by 20%, the number of fans sold increased by 40%. What was the effect on the sale proceeds?

(a) 12% increase

(b) 14% decrease

(c) 16% increase

(d) 18% decrease

6. When the price of a toy was increased by 20%, then number of toys sold was decreased by 15%. The effect on the sale proceeds of the toy is

(a) 4% increase

(b) 2% decrease

(c) 2% increase

(d) 4% decrease

7. Rahul bought two cycles for a total sum of  Rs.1,500. He sold one cycle at 20% loss and the other cycle at 20% gain. If the selling price of both the cycles is the same, find the cost price of the two cycles.

(a) Rs. 750 each

(b) Rs. 550, Rs. 950

(c) Rs. 500, Rs. 1,000

(d) Rs. 600, Rs. 900

8. X sells two articles for  Rs.4,000 each with no loss and no gain in the interaction. If one was sold at a gain of 25% the other is sold at a loss of 

(a) 25%

(b) 18(2/9)%

(c) 16(2/3)%

(d) 20%

9. The cost of a piece of diamond varies with the square of its weight. A diamond of  Rs. 5184 value is cut into 3 pieces whose weights are in the ratio 1 : 2 : 3. Find the loss involved in the cutting.

(a) Rs. 3068

(b) Rs. 3088

(c) Rs. 3175

(d) Rs. 3168

10. A trader has a weighting balance that show 1200 gm for a kilogram. He further marks up his cost price by 10%. Then the net profit percentage is

(a) 32%

(b) 23%

(c) 31.75%

(d) 23.5%

Answers and Solution:
1 (b)
Let the number of brand B was n.
If price of one shirt of brand B was Rs. x
so price of n shirts of brand B = Rs. n x
and Price of 4 shirts of brand A = 4*2x = 8x
so original bill = Rs.(8x+nx)
but after interchange the number of the brands the bill = (2nx+4x)
so (8x+nx)*140/100 = (2nx=4x)
so x(8+n)7/5 = x(2n+4) => (8+n)*7 = (2n+4)*5
so 56+7n = 10n+20 => 3n = 36 => n=12
so Ratio between A and B = 4:12 = 1:3

2 (a)
If the marked price of an article is x
Then selling price = Rs.3x/4
so cost price*125/100 = selling price
so cost price*5/4 = 3x/4 => cost price = 3x/5
so marked price : cost price = x : 3x/5 = 1: 3/5 = 5:3
3 (d)
4 (a)
5 (a)
6 (c)
7 (d)
8 (c)
9 (d)
10 (a)