The ratio of the sa laries of Abbi and Monu is 6: 11. If their salaries are increased by 10 per cent and 12 per cent, respectively,
then what will be the new ratio of their salaries?
This questions was previously asked in
SSC MTS 26th July 2022 Shift-3
Explanation:
- The initial salary ratio of Abbi and Monu is 6:11.
- This can be taken as 6x for Abbi and 11x for Monu.
- Abbi's salary increase: 10% of 6x \[=>\] \(0.1 \times 6x = 0.6x\), making it \(6x + 0.6x = 6.6x\).
- Monu's salary increase: 12% of 11x \[=>\] \(0.12 \times 11x = 1.32x\), making it \(11x + 1.32x = 12.32x\).
- New salary ratio is \(6.6x: 12.32x\), simplifying to \(66: 123.2\).
- Simplify the ratio to approximately 3.3:6.16 or more accurately 33:61.6.
- Now, checking options:
- Option 1: 5:3 is far from the simplified ratio.
- Option 2: 15:28 roughly estimates to the required ratio.
- Option 3: 12:13 does not fit.
- Option 4: 17:23 also matches roughly close.
Thus, the right choice seems to be Option 2: 15:28
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