Aptitude Discussion

Q. |
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? |

✖ A. |
$3:3:10$ |

✖ B. |
$10:11:20$ |

✔ C. |
$23:33:60$ |

✖ D. |
Cannot be determined |

**Solution:**

Option(**C**) is correct

Let $A = 2k$, $B = 3k$ and $C = 5k$

A's new salary = \(\left(\dfrac{115}{100}\times 2k\right)=\dfrac{23k}{10}\)

B's new salary = \(\left(\dfrac{110}{100}\times 3k\right)=\dfrac{33k}{10}\)

C's new salary = \(\left(\dfrac{120}{100}\times 5k\right)=6k\)

\(\Rightarrow \text{New ratio} = \left(\dfrac{23k}{10}:\dfrac{33k}{10}:6k\right)=23:33:60\)

**Edit:** For an alternative approach, check comment by **Lokesh.**

**Edit 2:** For yet another alternative solution, check comment by **Sravan Reddy.**

**Sravan Reddy**

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**Lokesh**

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When we find $23$ are $A's$ new salary. We don't have to solve further for $B$ and $C$.

Since $23$ is prime and cannot be cancelled.

Hence, directly selecting from given option $i.e$ option (C)

Take some numbers. I usually multiply ratios with with 10 - so 20,30,50

15% increase in 20 = 23

10% increase in 30 = 33

20% increase in 50 = 60

So, ratio is 23:33:60

P.S. Use this only if you are quick and comfortable with numbers