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

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

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

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

Step 2: Add these three fractions together:

6/12 + 8/12 + 9/12 = 23/12

Step 3: Now, divide the total amount Rs. 782 by the sum of the fractions (23/12) to find the value of 1 part:

782 / (23/12) = Rs. 408

Step 4: To find the first part, multiply the value of 1 part by the fraction representing the first part (6/12):

408 * (6/12) = Rs. 204

So, the first part is Rs. 204.