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Linear Expression on One Side and Numbers on the Other Side

The salaries ...

Question

The salaries 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 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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Cannot be determined

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Solution

The correct option is B 23 : 33 : 60
Let A = 2k, B = 3k and C = 5k.
A's new salary = $\frac{115}{110}$ of 2k = $(\frac{115}{100} x 2 k) = \frac{23 k}{10}$
B's new salary = $\frac{115}{110}$ of 3k = $(\frac{110}{100} x 3 k) = \frac{33 k}{10}$
C's new salary = $\frac{115}{110}$ of 5k = $(\frac{120}{100} x 5 k) = 6 k$
$∴$ New ratio $(\frac{23 k}{10} : \frac{33 k}{10} : 6 k) = 23 : 33 : 60$

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The salaries 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 new ratio of their salaries?

The correct option is B 23 : 33 : 60Let A = 2k, B = 3k and C = 5k.A's new salary = 115110of 2k = (115100x2k)=23k10B's new salary = 115110of 3k = (110100x3k)=33k10C's new salary = 115110of 5k = (120100x5k)=6k∴ New ratio (23k10:33k10:6k)=23:33:60