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If ₹2,400 is to be distributed between A and B in the ratio of 7:5, then the share of B is:
₹1,300
₹1,600
₹1,000
₹1,900
₹1,000
Sum of ratios = 7 + 5 = 12 parts. 12 parts correspond to ₹2,400, so 1 part = ₹2,400 / 12 = ₹200. B's share = 5 parts = 5 ×200=₹1,000.
Total amount = ₹2,400, Ratio of share of A and B = 7 : 5
Share of B=Total Amount×Sum of RatiosRatio of B
Sum of ratios = 7 + 5 = 12 parts. 12 parts correspond to ₹2,400, so 1 part = ₹2,400 / 12 = ₹200. B's share = 5 parts = 5 ×200=₹1,000.
Many students accidentally calculate the share of A (7 parts) instead of B (5 parts) or mix up the numerator in the ratio fraction.
Identify the given values and ratios
We are given the total amount to be distributed as ₹2,400 and the ratio of shares of A and B as 7:5.
Total Amount=₹2,400,Ratio=7:5
Calculate the sum of the ratio parts
The total number of parts in the ratio is the sum of the parts for A and B: 7+5=12.
Sum of parts=7+5=12
Find the value of one part
Divide the total amount by the sum of the ratio parts to find the value of a single part: 122400=200.
1 part=122400=₹200
Calculate the share of B
Since B's share corresponds to 5 parts, multiply the value of one part by 5: 5×200=1000.
Share of B=5×200=₹1,000
C is correct because the share of B calculated using the ratio method is ₹1,000.
Ratio division problems are fundamental in partnership, mixture, and percentage allocation problems across quantitative aptitude tests.