If A and B invest some amount for the same time and the ratio of their profit's after one year is 5:x, if B would have joined A after 6 months the ratio of their profit's (a:b) after one year is 1:2. Find the value of x.

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Solution

The correct option is B
20

Let the investment of A be a.

Let the investment of B be b.

$\frac{I n v e s t m e n t o f A \times t i m e o f i n v e s t m e n t o f A}{I n v e s t m e n t o f B \times t i m e o f i n v e s t m e n t o f B}$ = $\frac{P r o f i t o f A}{P t o f i t o f B}$ $\frac{a}{b}$ = $\frac{5}{x}$

$\frac{a \times 12}{b \times 6}$ = $\frac{1}{2}$

x = 20

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If A and B invest some amount for the same time and the ratio of their profit's after one year is 5:x, if B would have joined A after 6 months the ratio of their profit's (a:b) after one year is 1:2. Find the value of x.

The correct option is B 20 Let the investment of A be a. Let the investment of B be b. Investment of A ×time of investment of AInvestment of B ×time of investment of B = Profit of APtofit of B ab = 5x a×12b×6 = 12 x = 20