11. Renu sold an article at a loss of 8 percent.Had she bought it at 1

1.	11. Renu sold an article at a loss of 8 percent.Had she bought it at 10% less and sold for36 more; she would have gained 20%Find the cost price of the article.
Answer» Let the cost price of the article be Rs 100. Given that Renu sold it at loss of 8%. Hence the selling price = Rs 100 – Rs 8 = Rs 92 It is given that if she had purchased it at 10 % less The new CP = Rs 100 – Rs 10 = Rs 90. Given that she will get a gain of 20% on it. Hence new SP = Rs 90 + Rs 18 = Rs 108 Therefore the difference in SP = Rs 108 – Rs 92 = Rs 16 Given the difference in SP = Rs 36 Initial CP =100 * (36/16) = 225 Thus the initial cost price is Rs 225.

11. Renu sold an article at a loss of 8 percent.Had she bought it at 10% less and sold for36 more; she would have gained 20%Find the cost price of the article.

Answer»

Let the cost price of the article be Rs 100.

Given that Renu sold it at loss of 8%.

Hence the selling price = Rs 100 – Rs 8 = Rs 92

It is given that if she had purchased it at 10 % less

The new CP = Rs 100 – Rs 10 = Rs 90.

Given that she will get a gain of 20% on it.

Hence new SP = Rs 90 + Rs 18 = Rs 108

Therefore the difference in SP = Rs 108 – Rs 92 = Rs 16

Given the difference in SP = Rs 36

Initial CP =100 * (36/16) = 225

Thus the initial cost price is Rs 225.