A and B invested equal amount of capital in a buiness. at the end of the first year A and B shared a profit in the ratio 4:3 . if A had invested for the whole year , after how many months did B join the business?
1) 3
2) 4
3) 2
4) 9
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Given,
A and B shared a profit in the ratio 4:3
A invested for 1 year
To Find,
For how many months did B join the business =?
Solution,
We know that ratio if profit is equal to time they have invested.
Let the number of months for which B joined the business = x
12 /x = 4 / 3
By cross multiplying,
4x = 12 * 3
4x = 36
x = 36 / 4
x = 9
B joined the business for 9 months. That means B joined the business after 12 - 9 = 3 months.
Hence, after 3 months B join the business.
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