Question

Padam purchased 30 kg of rice at the rate of Rs 17.50 per kg and another 30 kg rice at a certain rate He mixed the two and sold the entire quantity at the rate of Rs 18.60 per kg and made 20% overall profit At what price per kg did he purchased the lot of another 30 kg rice?

• A. Rs 12.50
• B. Rs 13.50
• C. Rs 14.50
• D. Rs 15.50

Answer 1

The correct option is B Rs 13.50

Let the required price per kg be Rs. x. Then,

C.P. of 60 kg rice = $Rs.(30\times 17.50+30\times x)=Rs.(525+30x).$

S.P. of 60 kg rice = $(60\times 18.60)=Rs.1116.$

$\therefore \frac{1116-(525+30x)}{525+30x}\times 100=20$

$\Rightarrow \frac{591-30x}{525+30x}=\frac{1}{5}$

$\Rightarrow 2955-150x=525+30x$

$\Rightarrow x=\frac{2430}{180}=\frac{27}{2}=13.50Rs.$

So the C.P. of second lot is 13.50 RS.