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Anil has two varieties of rice. Cost price of 1st variety of rice is Rs. 25 per kg and he purchased 5 kg. He purchased other variety of rice at certain rate and he purchased 6 kg of rice of other variety of rice. He mixes both the rice and sold at Rs. 31 per Kg. He made no profit. At what price per Kg did he purchase the second type of rice.

Anil has two varieties of rice. Cost price of 1st variety of rice is Rs. 25 per kg and he purchased 5 kg. He purchased other variety of rice at certain rate and he purchased 6 kg of rice of other variety of rice. He mixes both the rice and sold at Rs. 31 per Kg. He made no profit. At what price per Kg did he purchase the second type of rice. Correct Answer Rs. 36

Given:

Cost price of 1st variety of rice is Rs. 25 per kg

Quantity purchased of 1st variety of rice = 5 kg

Quantity purchased of 2nd variety of rice = 6 kg

Price of new mixture = Rs. 31 per kg

Calculation:

Let the C.P. of second type of rice = Rs. x

Cost price of mixture = [(25 × 5 + x × 6)

⇒ (125 + 6x)

Selling price of a mixture = 31 × 11

⇒ Rs. 341

Selling price of mixture = Cost price of mixture, as there is no profit or loss

⇒ 341 = (125 + 6x)

⇒ 341 = 125 + 6x

⇒ 341 - 125 = 6x

⇒ 216 = 6x

⇒ 36 = x

∴ required C.P. of second type of rice = Rs. 36

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