Pie Charts
Data Interpretation

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Common Information

The following pie chart represents the break-up of Raju’s monthly Expenses.

Common information image for Pie Charts, Data Interpretation:1668-1

Q.

Common Information Question: 2/5

If Raju increased his savings, which is currently 10% of his income, by 20% and reduced his expenses by 20%, then his savings would be what percentage of his expenses?

 A.

10.25%

 B.

12.50%

 C.

15.33%

 D.

16.66%

 E.

20.75%

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Solution:
Option(D) is correct

Let his monthly income be Rs $x$.

Original savings $= \text{Rs. } \left(\dfrac{10}{100}\right)x$

New savings, $= \left(\dfrac{10}{100}\right)x + \dfrac{20}{100}\left(\dfrac{10}{100}x\right)$

$= \text{Rs. } \left(\dfrac{12}{100}\right)x$

Original expenditure, $= x - \left(\dfrac{10}{100}\right)x$

$= \text{Rs. } \left(\dfrac{90}{100}\right)x$

New expenditure:

$=\left(\dfrac{90}{100}\right)x - \left(\dfrac{20}{100}\right) \left(\dfrac{90}{100}x\right)$

$= \text{Rs. } \left(\dfrac{72}{100}\right)x$

Required percentage:

$= \left[\dfrac{\left(\dfrac{12}{100}x\right)}{\left(\dfrac{72}{100}x\right)}\right]×100$

$= \textbf{16.66%}$


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