A person bought two bicycles for ₹ 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit,he would get ₹ 5 more.The difference in the cost price of the two bicycles was

Options

A. 25 rs.
B. 75 rs.
C. 50 rs.
D. 40 rs.

Answer

C

Explanation

माना लागत मूल्य x तथा y है
`therefore` x +y = 1600 ……………..(i)
`x(1+20/100)+ y(1+10/100)-x(1+10/100)+y(1+20/100)` = 5
`x(20/100-10/100)+y(10/100-20/100)` = 5
`(10x)/100 - (10y)/100` = 5
लागत मूल्य का अंतर (x-y) = 50