SSC CPO SI and ASI 2013 Paper

Question : 123 of 200

Marks: +1, -0

A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a pair of black socks is double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake, which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was

2 : 1
1 : 4
1 : 2
4 : 1

Validate

Solution:

(2) Let number of brown socks = p
Let price of brown socks = Rs. s per pair
So, price of black socks = Rs. 2s per pair
Price before interchanging was (4s + p × 2s)
Price after interchanging becomes (4 × 2s + sp)
Now,

4 s+p × 2 s= {150}/{100}(4 × 2 s+s p)

8+4 p=24+3 p

p=24-8=16

Ratio of black socks to brown socks = 4 : 16 = 1 : 4

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