A invest \(\frac{1}{4}\)th part of capital for 15 months. B gets \(\frac{2}{3}\)rd of the profit. After how many months B join the business?
Answer & explanation
Correct answer: option 4
Let the total investment is 4 and profit is 3.
ATQ,
A : B Total
Investment : 1 : 3 = 4
Time : 15 : x
Profit Ratio : 15 : 3x
⇑ ⇑
1 : 2 (given)
1R = 15
2R = 30 = 3x,
x = 10
B invest his capital for 10 months.
Therefore, B joins after (15 - 10) = 5 months