The income of A is 80% of B’s income and the expenditure of A is 60% of B’s expenditure. If the income of A is equal to 90% of B’s expenditure, then by what percentage are the savings of A more than B’s savings?

(a) 100%

(b) 140%

(c) 125%

(d) 150%

{Previously asked in SSC CGL Mains 2020}

**Ans**: (b) 140%

**Explanation**:

ATQ, Income of A = 90% of B’s Expenditure

\therefore 4x = \displaystyle\frac{9}{10}\times 5y

\Rightarrow \displaystyle\frac{x}{y} = \displaystyle\frac{9}{8}

Let, x = 9

\qquad y=8

Now, Savings of A = 36 – 24 = 12

\qquad Savings of B = 45 – 40 = 5

% more = \displaystyle\frac{7}{5}\times 100 = 140%

**Aliter:**

Now, we want to make income of A equal to expenditure of B keeping income and expenditure ratio const.

Actually our target is to make income of A equal to 90% of expenditure of B.

Now, 90% = \displaystyle\frac{9}{10}

This means ratio of A’s income to B’s expenditure will be 9 : 10

Now, calculate savings from Income = Expenditure + Savings formula

% more savings = \displaystyle\frac{7}{5}\times 100 = 140%

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Yorum Satın AlUseful article, thank you. Top article, very helpful.