Question

Renu sold an article at a loss of 8%. Had she bought it at 10% less and sold for ₹36 more; she would have gained 20%. Find the cost price of the article.

Answer 1

Let the cost price be Rs x.
Renu sold the article at a loss of 8%
It means she sold the article for Rx-8%of x = x - (8/100)x= x-0.08x = 0.92x.
If she bought it at 10% less it means she bought it for x -10%of x = x-(10/100)x= x-0.1x= 0.9x.
If she sold it at Rs 36 more it means she sold it for Rs 0.92x+36.
It means buying for Rs 0.9x and selling for Rs 0.92x+36 is a gain of 20%
or selling price = (0.9x) + 20% of 0,9x= 0,9x+(20/100)0.9x= 0.9x+0.2*0.9x = 0.9x+0.18x=1.08x
So 1.08x = 0.92x+36
0.16x = 36
x = 36/0.16 = Rs 225.
Answer: Rs 225