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If Rs. 782 be divided into three parts, proportional to 1/2: 2/3 : 3/4, then the first part is:Options :Rs.182Rs.190Rs.196Rs.204

Question

If Rs. 782 be divided into three parts, proportional to 1/2: 2/3 : 3/4, then the first part is:Options :Rs.182Rs.190Rs.196Rs.204

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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 them easier to compare. The least common multiple of 2, 3, and 4 is 12.

So, the ratios become: 1/2 = 6/12 2/3 = 8/12 3/4 = 9/12

Step 2: Now, add these ratios together to find the total parts: 6 + 8 + 9 = 23 parts

Step 3: Now, divide the total amount Rs. 782 by the total parts 23: 782 / 23 = Rs. 34. This is the value of each part.

Step 4: To find the value of the first part, multiply the value of each part by the number of parts in the first ratio: 34 * 6 = Rs. 204

So, the first part is Rs. 204.

This problem has been solved

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