Question

A man purchased 35kgs of rice at the rate of Rs. 9.50 per kg and another 30kgs at the rate of Rs. 10.50 per kg. He mixed the two. Approximately, at what price (in rupees) per kg should he sell the mixture to make $35\%$ profit in the transaction?

• A. 12
• B. 12.5
• C. 13
• D. 13.5
• E. None of the above

Answer 1

The correct option is D 13.5

Here, total cost of 35kgs of rice at Rs. 9.5 per kg
$=35\times 9.5=Rs.1332.5$
Total cost of 30kgs of rice at Rs. 10.5 per kg
$=30\times 10.5=Rs.1315$
Total cost price $=332.5+315=Rs.647.5$
Percentage profit $=35\%$
$\therefore$ Selling price $=647.5\times \frac{135}{100}=Rs.874.125$
$\therefore$ Selling price of the mixture $=\frac{874.125}{65}=Rs.13.44\approx 13.5$