A person saves 33\displaystyle\frac{1}{3}\% of his income. If the saving increases by 22% and the expenditure increases by 10%, then the percentage increase in his Income is:
(a) 18%
(b) 14%
(c) 16%
(d) 22%
{Previously asked in SSC CGL Mains 2020}

Ans: (b) 14%

Explanation:

Percentage 14

% Increase in income = \displaystyle\frac{0.42}{3}\times 100 = 14\%

If we want to avoid the fraction we could have multiplied the initial ratios by 100

Percentage 15

% Increase in income = \displaystyle\frac{42}{300}\times 100 = 14\%

Or we could have taken the minimum multiplication factor i.e. LCM (50, 10) = 50.

See the following figure

Percentage 16

% Increase in income = \displaystyle\frac{21}{150}\times 100 = 14\%

You can go with any approach which is convenient to you.

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3 thoughts on “A person saves 33 1/3% of his income. If the saving…”

  1. All the three methods you have discussed is basically same. First two are okay but third method is quite complex.

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