How many kgs of wheat costing Rs. 8 per kg must be mixed with 86 kg of rice…
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How many kgs of wheat costing Rs. 8 per kg must be mixed with 86 kg of rice costing Rs. 5 per kg so that 20% gain may be obtained by selling the mixture at Rs. 7.20 per kg?
Answer: D. 43 kg — Answer: 43 kg Find the cost price (CP) of the mixture. Selling price = Rs. 7.20 and desired profit = 20%, so CP of mixture = 7.20 × 100 / 120 = Rs. 6 per kg.…
- A.
25 kg
- B.
72 kg
- C.
36 kg
- D.
43 kg
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Correct answer: D
Answer: 43 kg
Find the cost price (CP) of the mixture. Selling price = Rs. 7.20 and desired profit = 20%, so
CP of mixture = 7.20 × 100 / 120 = Rs. 6 per kg.
Using the prices: wheat = Rs. 8/kg (dearer) and rice = Rs. 5/kg (cheaper), apply allegation:
Ratio of wheat to rice = (mean − price of rice) : (price of wheat − mean) = (6 − 5) : (8 − 6) = 1 : 2.
This means for every 1 part of wheat there are 2 parts of rice. Given rice = 86 kg (the 2 parts), the quantity of wheat (1 part) = 86 ÷ 2 = 43 kg.
Therefore, 43 kg of wheat must be mixed with 86 kg of rice.