Question

A man has to sell pulse at a loss of 10%. If he increases the selling price by Rs 5 per kg, he would make a profit of 15%. Find the cost price and initial selling price per kg of pulse.

• A. Rs 20, Rs 18
• B. Rs 18, Rs 20
• C. Rs 15, Rs 18
• D. Rs 18, Rs 15

Answer 1

The correct option is A Rs 20, Rs 18

Let C.P. $=x$
S.P. $=x-10\%$ of $x=x-\frac{10x}{100}=\frac{90x}{100}=0.9x$
New S.P. $=0.9x+5$
Gain $=$ S.P. $-$ C.P.
$\Rightarrow 15\%$ of $x=0.9x+5-x$
$\Rightarrow 0.15x+x-0.9x=5$
$\Rightarrow 0.25x=5$
$\Rightarrow x=\frac{5}{0.25}=$ Rs. $20$
So, initial selling price $=20-10\%$ of $20=20-\frac{10}{100}\times 20=$ Rs. $18.$.