Data Interpretation Discussion

**Common Information**

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

Q. |
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:

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

$= \textbf{16.66%}$