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If Rs. 582 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is?Options :161151.8142153

Question

If Rs. 582 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is?Options :161151.8142153

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Solution

To solve this problem, we first need to understand that the three parts are in the ratio 1/2 : 2/3 : 3/4.

Step 1: Convert these fractions to the same denominator to make it easier to compare. The least common multiple of 2, 3, and 4 is 12. So, we convert each fraction to have 12 as the denominator:

1/2 = 6/12 2/3 = 8/12 3/4 = 9/12

So, the ratio is 6:8:9.

Step 2: Find the total parts in the ratio by adding all the individual parts together.

6 + 8 + 9 = 23 parts

Step 3: Find the value of each part. The total amount of Rs. 582 is divided into 23 parts, so each part is worth:

582 / 23 = Rs. 25.304347826

Step 4: Find the value of the first part. The first part is 6 parts of the total, so it is worth:

6 * 25.304347826 = Rs. 151.826086957

So, the first part is approximately Rs. 151.82. The closest option to this value is 151.814.

This problem has been solved

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