Data Interpretation Discussion

**Common Information**

The following bar graph shows the Income and Expenditures (in million US $) of five companies in the year 2001. The percent profit or loss of a company is given by:

[text{%Profit/Loss} = left(dfrac{text{Income – Expenditure}}{text{Expenditure}}right) × 100]

Q. |
For Company $R$, if the expenditure had increased by $20%$ in year $2001$ from year $2000$ and the company had earned profit of $10%$ in $2000$, what was the Company's income in $2000$ (in million US $$$)? |

✖ A. |
35.75 |

✖ B. |
37.25 |

✖ C. |
38.5 |

✔ D. |
41.25 |

**Solution:**

Option(**D**) is correct

Let, the expenditure of Company $R$ in 2000 be $x$ million US $\$$

Then, expenditure of Company $R$ in 2001:

$=\left(\dfrac{120}{100}\right) ×x$ million US $\$$

$⇒ \left(\dfrac{120x}{100}\right) = 45$

$⇒ x = 37.5$

i.e., expenditure of Company $R$ in $2000 = 37.5$ million US $\$$

Let the income of Company $R$ in $2000$ be $I$ million US $\$$

Then, $10 = \left[\dfrac{I - 37.5}{37.5} × 100\right]$ [$\because$ % Profit in 2000 = 10%]

$⇒ I - 37.5 = 3.75$

$⇒ I = 41.25$

i.e., Income of Company $R$ in 2000 = **41.25** million US $\$$

**Snehal**

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Please correct the question to add the % signs