Question

A grocer purchased 80 kg of rice at rupees 23.5 per kg and mixed it with 120 kg rice at rupees 26 per kg. At what rate per kg should he sell the mixture to gain 16% profit?

• A. Rs. 29
• B. Rs.27.50
• C. Rs.29.50
• D. Rs.30

Answer 1

Answer:

A. Rs. 29

Cost price of 80 kg sugar =$80\times23.50$= Rs. 1880

Cost price of 120 kg sugar =$120 \times 26$= Rs. 3120

⇒ Total cost price of the mixture = 1880 + 3120 = Rs. 5000

total weight = 200

⇒ Cost price of 1 kg mixture = $\frac{5000}{200}$ = Rs. 25

∴ Selling price of 1 kg mixture = $25 + 25\times\frac{16}{100}$ = 29rs