Karan and Sarosh invest Rs.3000 and Rs.4000 in a business, where Sarosh joins Karan after 3 months. If the profit ratio of Karan to that of Sarosh after 1 year is a:b, then $\frac{a}{b}$ is -

Divisible by 3

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Divisible by both 2 and 3

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Prime number

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Neither divisible by 2 nor 3

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Solution

The correct option is D
Neither divisible by 2 nor 3

$\frac{I n v e s t m e n t o f K a r a n \times t i m e o f i n v e s t m e n t o f K a r a n}{I n v e s t m e n t o f S a r o s h \times t i m e o f i n v e s t m e n t o f S a r o s h}$ = $\frac{P r o f i t o f K a r a n}{P r o f i t o f S a r o s h}$

Profit of Karan = Profit of Sarosh

a = b

$\Rightarrow$ $\frac{a}{b} = 1$

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Karan and Sarosh invest Rs.3000 and Rs.4000 in a business, where Sarosh joins Karan after 3 months. If the profit ratio of Karan to that of Sarosh after 1 year is a:b, then ab is -

The correct option is D Neither divisible by 2 nor 3 Investment of Karan ×time of investment of KaranInvestment of Sarosh ×time of investment of Sarosh=Profit of KaranProfit of Sarosh Profit of Karan = Profit of Sarosh a = b ⇒ ab=1

Karan and Sarosh invest Rs.3000 and Rs.4000 in a business, where Sarosh joins Karan after 3 months. If the profit ratio of Karan to that of Sarosh after 1 year is a:b, then $\frac{a}{b}$ is -