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 purchase the lot of another 30 kg rice?

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

Answer 1

Answer: (B)

Rs. 13.50

Answer 2

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.
∴ $\frac{1116-(525+30x)}{525+30x}\times100=20$
⇒ $\frac{591-30x}{525+30x}=\frac{1}{5}$
⇒ $2955-150x=525+30x$
⇒ $x=\frac{2430}{180}=\frac{27}{2}=13.50$ Rs.
So the C.P. of second lot is 13.50 RS.
The correct option is (B): Rs. 13.50