A farmer sells 8 quintals of wheat and 5 quintals of rice for Rs 33500. At the same rates, 5 quintals of wheat and 8 quintals of rice fetch Rs 38000. Find the rate (in Rs) per quintal of rice.

Question

Accepted Answer

3500. Let wheat cost Rs x and rice Rs y a quintal. 8x + 5y = 33500 and 5x + 8y = 38000. Adding: 13x + 13y = 71500, so x + y = 5500. Subtracting the first from the second: 3y - 3x = 4500, so y - x = 1500. Hence y = 3500 and x = 2000. Check: 8 x 2000 + 5 x 3500 = 33500 and 5 x 2000 + 8 x 3500 = 38000. 2000 is the wheat rate, the wrong unknown; 5500 is the two rates added; 1500 is the gap between them.

A farmer sells 8 quintals of wheat and 5 quintals of rice for Rs 33500. At the same rates, 5 quintals of wheat and 8 quintals of rice fetch Rs 38000. Find the rate (in Rs) per quintal of rice.

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