If 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
Question
If 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
Solution
To solve this problem, we first need to understand that the parts are proportional to the fractions 1/2, 2/3, and 3/4.
Step 1: Convert the fractions to the same denominator to make them comparable. The least common multiple of 2, 3, and 4 is 12. So, we convert the fractions as follows:
1/2 = 6/12 2/3 = 8/12 3/4 = 9/12
Step 2: Add these fractions together to find the total parts:
6/12 + 8/12 + 9/12 = 23/12
Step 3: Now, divide the total amount Rs. 582 by the total parts 23/12 to find the value of one part:
582 / (23/12) = 582 * (12/23) = 304.174
Step 4: To find the first part, multiply the value of one part by the fraction representing the first part (6/12):
304.174 * (6/12) = 152.087
So, the first part is approximately Rs. 152.087. The closest option to this value is 151.8. Therefore, the first part is Rs. 151.8.
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