Question

Rahul sold a painting at 10% profit. If he had sold it for 240 more, he would have made 15% profit. What is the C.P. of the painting?

please tell ans step by step..
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Answer 1

Answer:

$4800

Step-by-step explanation:

Let x be the C.P of the painting.

Profit=10% of x

Profit=$\frac{10}{100}\times x=\frac{10x}{100}$

If S.P increase by 240 then

Profit=15% of x=$\frac{15x}{100}$

For first case

S.P=C.P+ Profit

S.P=x+10x/100

S.P=$\frac{100x+10x}{100}=\frac{110}{100}x$

For second case

New S.P$=x+\frac{15}{100}x$

         =$\frac{115}{100}x$

According to question

$240+S.P=\frac{115}{100}x$

$240+\frac{110x}{100}=\frac{115}{100}x$

$240=\frac{115}{100}x-\frac{110x}{100}$

$240=\frac{115x-110x}{100}$

$240=\frac{5}{100}x$

$x=\frac{240\times 100}{5}$

$x=4800$

Hence, the C.P of the painting=$4800