Question

Question 102

What price should a shopkeeper mark on an article that costs him Rs. 600 to gain 20 %, after allowing a discount of 10 %?

Answer 1

The cost price of the article = Rs. 600
Gain % = 20 %
$\therefore Gain=\frac{600\times 20}{100}=Rs.120\because SP=Gain+CP=Rs.600+Rs120=Rs.720$
Let marked price be Rs. x.
Since, he allow a discount of 10 %.
According to the question,
$x-10\Rightarrow x-\frac{10\times x}{100}=720\Rightarrow \frac{100x-10x}{100}=720\Rightarrow \frac{90x}{100}=720\Rightarrow x=\frac{720\times 100}{90}\Rightarrow x=Rs.800$
Hence, required marked price is Rs. 800.