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. Find 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. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?
Solution 1
Sure, let's solve this step by step:
Step 1: First, we need to find the cost of 1 kg of rice. 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 * Rs.20.50 = Rs.123. Therefore, the cost of 2 kg of rice is also Rs.123. So, the cost of 1 kg of rice is Rs.123 / 2 = Rs.61.50.
Step 2: Now, we need to find the cost of 1 kg of apples. We know that the cost of 10 kg of apples is equal to the cost of 24 kg of rice. Given that the cost of 1 kg of rice is Rs.61.50, the cost of 24 kg of rice is 24 * Rs.61.50 = Rs.1476. Therefore, the cost of 10 kg of apples is also Rs.1476. So, the cost of 1 kg of apples is Rs.1476 / 10 = Rs.147.60.
Step 3: Finally, we can find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour. The cost of 4 kg of apples is 4 * Rs.147.60 = Rs.590.40. The cost of 3 kg of rice is 3 * Rs.61.50 = Rs.184.50. The cost of 5 kg of flour is 5 * Rs.20.50 = Rs.102.50. Therefore, the total cost is Rs.590.40 + Rs.184.50 + Rs.102.50 = Rs.877.40.
Solution 2
Sure, let's solve this step by step:
Step 1: First, 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, we can calculate the cost of 2 kg of rice.
6 kg of flour = 6 * Rs.20.50 = Rs.123
So, the cost of 2 kg of rice = Rs.123
Step 2: Now, we can calculate the cost of 1 kg of rice:
1 kg of rice = Rs.123 / 2 = Rs.61.50
Step 3: We know that the cost of 10 kg of apples is equal to the cost of 24 kg of rice. So, we can calculate the cost of 10 kg of apples:
10 kg of apples = 24 * Rs.61.50 = Rs.1476
Step 4: Now, we can calculate the cost of 1 kg of apples:
1 kg of apples = Rs.1476 / 10 = Rs.147.60
Step 5: Finally, we can calculate the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour:
4 kg of apples = 4 * Rs.147.60 = Rs.590.40 3 kg of rice = 3 * Rs.61.50 = Rs.184.50 5 kg of flour = 5 * Rs.20.50 = Rs.102.50
Total cost = 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.
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