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?

Updated On: Oct 24, 2024
  • Rs. 14.50
  • Rs. 13.50
  • Rs. 12.50
  • Rs. 15.50
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The Correct Option is B

Solution and Explanation

Let the required price per kg be Rs. x. Then,
C.P. of 60 kg rice = Rs.(30×\times17.50++30×\timesx)=Rs.(525++30x).
S.P. of 60 kg rice = (60×\times18.60)=Rs.1116.
1116(525+30x)525+30x×100=20\frac{1116-(525+30x)}{525+30x}\times100=20
⇒ 59130x525+30x=15\frac{591-30x}{525+30x}=\frac{1}{5}
⇒ 2955150x=525+30x2955-150x=525+30x
⇒ x=2430180=272=13.50x=\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
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