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The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. What is the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?

Question

The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. What is the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?

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Solution

Let's solve this step by step:

Step 1: We know that the cost of 6 kg of flour equals the cost of 2 kg of rice. Given that the cost of each kg of flour is Rs.20.50, the cost of 6 kg of flour is 6 * 20.50 = Rs.123. Therefore, the cost of 2 kg of rice is also Rs.123.

Step 2: From this, we can find out the cost of 1 kg of rice. It is 123 / 2 = Rs.61.50.

Step 3: We also know that the cost of 10 kg of apples is equal to the cost of 24 kg of rice. So, the cost of 10 kg of apples is 24 * 61.50 = Rs.1476.

Step 4: Therefore, the cost of 1 kg of apples is 1476 / 10 = Rs.147.60.

Step 5: Now, we can calculate the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour. It is (4 * 147.60) + (3 * 61.50) + (5 * 20.50) = Rs.590.40 + Rs.184.50 + Rs.102.50 = Rs.877.40.

So, the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour is Rs.877.40.

This problem has been solved

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