Question

The catalogue price of a V.C.P. is Rs. 7,200. If it is sold at a discount of 20% of the catalogue price, a gain of 25% is made. Find the gain or loss per cent, if the V.C.P. is sold for Rs. 1,900.80 below the catalogue price.

• A. Profit $=15\%$
• B. Loss $=18\%$
• C. Profit $=12\%$
• D. Loss $=19\%$

Answer 1

The correct option is A Profit $=15\%$

Given marked price be $Rs7,200$
Then, Selling Price after $20$ % discount $=Rs0.8\times 7,200=Rs5,760$
Given, Profit % $=\frac{S.P-C.P.}{C.P.}\times 100=25$ %
$=>\frac{5,760-C.P.}{C.P.}\times 100=25$
$=>5,760-C.P.=0.25C.P.$
$=>1.25C.P.=5,760$
$C.P.=Rs4,608$
And if Selling Price $=Rs(7,200-1,900.80)=Rs5,299.80$
then, Profit % $=\frac{5,299.80-4,608}{4,608}\times 100=15$ %