f Rs. 582 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is? Options : 161 151.8 142 153

To solve this problem, we first need to understand that the parts are proportional to 1/2, 2/3, and 3/4.

Step 1: Find the common denominator for the fractions, which is 12.

Step 2: Convert the fractions to have this common denominator. This gives us 6/12, 8/12, and 9/12.

Step 3: Add these fractions together to get the total ratio. 6/12 + 8/12 + 9/12 = 23/12.

Step 4: Now, divide the total amount Rs. 582 by the total ratio 23/12 to find the value of 1 part. This gives us Rs. 582 * (12/23) = Rs. 304.

Step 5: To find the first part, multiply the value of 1 part by the ratio of the first part (6/12). This gives us Rs. 304 * (6/12) = Rs. 152.

So, the first part is Rs. 152. The closest option to this is 151.8.