What is the sum ( in RS) which when divided among X Y Z in the proportion 3:5:7 provides rupees 8000 more to Z then what it would have done to him when the proportion is 11 : 15 : 19?Question 8Answera.135000b.180000c.120000d.175000
Question
What is the sum ( in RS) which when divided among X Y Z in the proportion 3:5:7 provides rupees 8000 more to Z then what it would have done to him when the proportion is 11 : 15 : 19?Question 8Answera.135000b.180000c.120000d.175000
Solution
Let's solve this step by step:
Step 1: Let's denote the total sum as S.
Step 2: According to the problem, when the sum S is divided in the proportion 3:5:7, Z gets Rs 8000 more than when the sum is divided in the proportion 11:15:19.
Step 3: This means that the difference between Z's share in the two cases is Rs 8000. We can write this as:
(7/15)S - (19/45)S = 8000
Step 4: Simplify the equation to find the value of S:
(21/45)S = 8000
S = 8000 * 45/21
Step 5: Calculate the value of S:
S = Rs 171428.57
So, the closest answer is d. Rs 175000.
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