Vignesh and Nishant invest some money in the ratio 11:9 for the same time. If the ratio of their profit shares after 1 year is $\frac{a}{b}$ , then

9a = 9b

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11a = 11b

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9a = 11b

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11a = 11b

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None of these

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Solution

The correct option is C 9a = 11b
$\frac{I n v e s t m e n t o f V i g n e s h \times t i m e o f i n v e s t m e n t o f V i g n e s h}{I n v e s t m e n t o f N i s h a n t h \times t i m e o f i n v e s t m e n t o f N i s h a n t h}$ = $\frac{P r o f i t o f V i g n e s h}{P r o f i t o f N i s h a n t h}$ $\frac{P r o f i t o f V i g n e s h}{P r o f i t o f N i s h a n t h}$
$\Rightarrow \frac{11}{9} = \frac{a}{b}$
$\Rightarrow 11 b = 9 a$

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Vignesh and Nishant invest some money in the ratio 11:9 for the same time. If the ratio of their profit shares after 1 year is ab , then

The correct option is C 9a = 11b Investment of Vignesh ×time of investment of VigneshInvestment of Nishanth ×time of investment of Nishanth = Profit of VigneshProfit of Nishanth Profit of VigneshProfit of Nishanth ⇒119=ab ⇒11b=9a

Vignesh and Nishant invest some money in the ratio 11:9 for the same time. If the ratio of their profit shares after 1 year is $\frac{a}{b}$ , then