Question

two articles are bought for Rs 1600.one of them is sold at a profit of 20% and the other at a loss of 20%. if the selling prices of both are same, find the cost price of each?​

Answer 1

Cost Price Of X = 640 and of Y=960

Explanation:

Let the cost price of both the articles be X and Y.

we know that x+y = 1600. (given)

the selling price of x = 1.2x (sold at 20% profit)

selling price of y = 0.8y (sold at 20%losss )

since selling price is same,

0.2x = 0.8y

x= 2/3 y

substituting this value of x in the given equation above,

2/3 y + y = 1600

y = 960

put y in the given equation,

x = 640