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A and B invest in a business in the ratio 4:7. If the total profit at the end of the year is Rs. 13,200, what is the profit share of B?
Rs. 4,800
Rs. 8,400
Rs. 7,700
Rs. 5,500
Rs. 8,400
Calculate the sum of ratio parts (4+7=11). Since the total profit (13200) is exactly 1200 times 11, simply multiply B's ratio part (7) by 1200 to get 8400.
Investment ratio of A and B is 4:7 and the total annual profit is Rs. 13,200.
BshareтАЛ=RatioAтАЛ+RatioBтАЛRatioBтАЛтАЛ├ЧTotal┬аProfit
Calculate the sum of ratio parts (4+7=11). Since the total profit (13200) is exactly 1200 times 11, simply multiply B's ratio part (7) by 1200 to get 8400.
Students often calculate the share of A instead of B, or divide the profit by the difference of ratios (7-4=3) instead of the sum.
Calculate total parts
Add the parts of the ratio to find the total units of investment.
4+7=11
Find value per unit
Divide the total profit by the total number of parts to find the value of one part.
1113200тАЛ=1200
Calculate B's share
Multiply B's ratio part (7) by the value per unit.
7├Ч1200=8400
B is correct because the share of B corresponds to 7 parts of the total 11 parts, resulting in Rs. 8,400.
This ratio-to-total method is essential for mixture problems and allocation questions commonly found in Data Interpretation (DI) sections.
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