A farmer mixes two varieties of rice of price Rs. 36 per kg and Rs. 24 per kg in the ratio of 1: 2, respectively. He sold the mixture for Rs. 2100 to earn a profit of 25%, then find the quantity of rice of cost Rs. 24 per kg used in the mixture. 20 kg30 kg40 kg50 kg60 kg
Question
A farmer mixes two varieties of rice of price Rs. 36 per kg and Rs. 24 per kg in the ratio of 1: 2, respectively. He sold the mixture for Rs. 2100 to earn a profit of 25%, then find the quantity of rice of cost Rs. 24 per kg used in the mixture. 20 kg30 kg40 kg50 kg60 kg
Solution
To solve this problem, we first need to find the cost price of the mixture. Since the farmer made a profit of 25%, the cost price would be 100/125 * 2100 = Rs. 1680.
Next, we need to find the cost price per kg of the mixture. The two varieties of rice are mixed in the ratio 1:2, so the cost price per kg of the mixture is (136 + 224) / (1+2) = Rs. 28 per kg.
Now, we can find the total quantity of the mixture by dividing the total cost price by the cost price per kg. So, the total quantity is 1680 / 28 = 60 kg.
Finally, since the two varieties of rice are mixed in the ratio 1:2, the quantity of the rice of cost Rs. 24 per kg used in the mixture is 2/3 * 60 = 40 kg.
So, the answer is 40 kg.
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