Annual incomes of $^{'} A^{'}$ and $^{'} B^{'}$ are in the ratio $4 : 5$ respectively. If the income of $^{'} A^{'}$ increases by $25 %$ and that of $^{'} B^{'}$ increases by $20 %$ , then what is the new ratio of their incomes respectively?

5 : 8

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4 : 7

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5 : 6

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6 : 5

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Solution

The correct option is C $5 : 6$
Let the annual income of $A$ and $B$ be $4 x$ and $5 x$ .
New ratio $= \frac{4 x + 25 % o f 4 x}{5 x + 20 % o f 5 x} = \frac{4 x + \frac{1}{4} \times 4 x}{5 x + \frac{1}{5} \times 5 x}$
$= \frac{5 x}{6 x} = \frac{5}{6} = 5 : 6$ .

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Annual incomes of ′A′ and ′B′ are in the ratio 4:5 respectively. If the income of ′A′ increases by 25% and that of ′B′ increases by 20%, then what is the new ratio of their incomes respectively?

The correct option is C 5:6Let the annual income of A and B be 4x and 5x.New ratio =4x+25%of4x5x+20%of5x=4x+14×4x5x+15×5x=5x6x=56=5:6.

Annual incomes of $^{'} A^{'}$ and $^{'} B^{'}$ are in the ratio $4 : 5$ respectively. If the income of $^{'} A^{'}$ increases by $25 %$ and that of $^{'} B^{'}$ increases by $20 %$ , then what is the new ratio of their incomes respectively?

The correct option is C $5 : 6$
Let the annual income of $A$ and $B$ be $4 x$ and $5 x$ .
New ratio $= \frac{4 x + 25 % o f 4 x}{5 x + 20 % o f 5 x} = \frac{4 x + \frac{1}{4} \times 4 x}{5 x + \frac{1}{5} \times 5 x}$
$= \frac{5 x}{6 x} = \frac{5}{6} = 5 : 6$ .