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An amount is distributed among A, B and C in the ratio of 5:7:15. If A's share is ₹1,500, then the total amount is:
₹5,400
₹2,700
₹8,100
₹4,200
₹8,100
Since the ratio of A is 5 and A's share is 1500, the value of 1 unit is 1500/5 = 300. The total ratio sum is 5 + 7 + 15 = 27. Total amount = 27 × 300 = 8100.
Ratio of shares of A, B, and C is 5 : 7 : 15. A's share is ₹1,500.
Total Amount=(RatioofAA′sshare)×(Sum of ratios)
Since the ratio of A is 5 and A's share is 1500, the value of 1 unit is 1500/5 = 300. The total ratio sum is 5 + 7 + 15 = 27. Total amount = 27 × 300 = 8100.
Students often add only the shares of B and C or forget to sum all parts of the ratio before multiplying by the unit value.
Define the ratio units
Let the shares be 5x, 7x, and 15x respectively.
A=5x,B=7x,C=15x
Calculate the value of x
Given that A=1500, we set 5x=1500. Solving for x gives x=1500/5=300.
x=51500=300
Calculate total amount
The total amount is the sum of all parts: 5x+7x+15x=27x. Substituting x=300, we get 27×300=8100.
Total=27×300=8100
C is correct because the total amount calculated by multiplying the sum of the ratio parts by the unit value is ₹8,100.
This ratio method is universal for age problems, mixture problems, and partnership division in competitive exams.
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