The salaries of $A, B, C$ are in the ratio $2 : 3 : 5 .$ If the increments of $15 %, 10 %$ and 20 $%$ are allowed respectively in their salaries, then what will be the new ratio of their salaries?

3 : 3 : 10

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10 : 11 : 20

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23 : 33 : 60

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25 : 27 : 29

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Solution

The correct option is C $23 : 33 : 60$
$L e t s a l a r i e s o f A = 2 k, B = 3 k a n d C = 5 k N o w 15 % i n c r e a m e n t i n A = (\frac{15}{100}) \cdot 2 k = (\frac{3 k}{10}) ∴ n e w s a l a r y o f A = 2 k + (\frac{3 k}{10}) = (\frac{23 k}{10}) 10 % i n c r e a m e n t i n B = (\frac{10}{100}) \cdot 3 k = (\frac{3 k}{10}) ∴ n e w s a l a r y o f B = 3 k + (\frac{3 k}{10}) = (\frac{33 k}{10}) 20 % i n c r e a m e n t i n C = (\frac{20}{100}) \cdot 5 k = k ∴ n e w s a l a r y o f C = 5 k + k = 6 K ∴ R a t i o o f n e w s a l a r i e s = (\frac{23 k}{10}) : (\frac{33 k}{10}) : 6 k = 23 : 33 : 60$

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