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Question 58
The ratio of investment by A to that by B in a business is 14 : 15 and the ratio of their respective profits at the end of a year is 2 : 5. IfA invested the money for 3 months, then for how much time (in months) B invested his money?
Solution
The ratio of investment by A to that by B in a business = 14 : 15
Let the B invest his money for x months.
Ratio of the profit of A to B =Â 2 : 5
$$14 \times 3 :Â 15 \times x = 2Â Â : 5$$
$$42 : 15 \times x = 2 : 5$$
$$ 42 \times 5 = 30x$$
x = 7
So, B invest his money for 7 months.
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