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A and B invest in a business in the ratio 4 : 5. If the total profit is Rs. 9,000, what is the profit share of B?
Rs. 4,000
Rs. 5,000
Rs. 4,500
Rs. 5,500
Rs. 5,000
Sum the ratio parts (4+5=9). Divide total profit by 9 to get the value of one unit (1000). Multiply by B's ratio (5) to get 5000.
Investment ratio of A and B is 4:5, total profit is Rs. 9,000.
BshareтАЛ=AratioтАЛ+BratioтАЛBratioтАЛтАЛ├ЧTotal┬аProfit
Sum the ratio parts (4+5=9). Divide total profit by 9 to get the value of one unit (1000). Multiply by B's ratio (5) to get 5000.
Students often calculate the share of A (4000) instead of B (5000) by misreading the ratio order.
Calculate total ratio parts
The ratio of investments is 4:5, so the total parts in the business are 4 + 5 = 9.
4+5=9
Determine the value of one part
Divide the total profit of Rs. 9,000 by the total number of parts to find the value of a single unit.
ValuepartтАЛ=99000тАЛ=1000
Calculate B's share
Multiply B's ratio share (5) by the value of one part (1000).
BshareтАЛ=5├Ч1000=5000
B is correct because the share of B corresponds to 5 parts out of 9, which evaluates to Rs. 5,000.
This concept of dividing totals based on ratios is frequently used in Mixture and Allegation problems and Time and Work efficiency calculations.
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