Rohit buys some rice at Rs. 10.40 per kg. He mixes it with some rice having…
2025
Rohit buys some rice at Rs. 10.40 per kg. He mixes it with some rice having price Rs. 8.8 per kg. The final mixture becomes 15kg in weight and with total worth Rs. 146.40. What is the quantity of rice priced at Rs. 8.8 per kg?
- A.
9 kg
- B.
6 kg
- C.
10 kg
- D.
5 kg
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Correct answer: B
Solution:
Total price of 15 kg mixture = Rs. 146.40, so price per kg of the final mixture = 146.40 ÷ 15 = Rs. 9.76.
Apply alligation between Rs. 8.80 (cheaper), Rs. 9.76 (mean), and Rs. 10.40 (dearer).
Difference (dearer − mean) = 10.40 − 9.76 = 0.64.
Difference (mean − cheaper) = 9.76 − 8.80 = 0.96.
Ratio of quantities (rice at Rs. 8.80) : (rice at Rs. 10.40) = 0.64 : 0.96 = 2 : 3.
Total parts = 2 + 3 = 5. Each part = 15 ÷ 5 = 3 kg. Quantity of rice at Rs. 8.80 = 2 × 3 = 6 kg.
Answer: 6 kg