Question

Prabha 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 percent overall profit. At what price per Kg did he purchase the lot of another 30 Kg rice?

• A. Rs 14.50
• B. Rs 12.50
• C. Rs 15.50
• D. Rs 13.50
• E. None of these

Answer 1

The correct option is D Rs 13.50

$30\left[\frac{100\times 18.60-y\times 120}{17.50\times 120-100\times 18.60}\right]=30$
or, 1860-120y =2100-1860=240
or, $120y=1620\therefore y=\frac{1620}{120}=Rs\mathrm{13.50.}$