# Moderate Pie Charts Solved QuestionData Interpretation Discussion

Common Information

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

 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%

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:

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

$= \textbf{16.66%}$