Bar Charts
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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]

Common information image for Bar Charts, Data Interpretation:1052-1

Q.

Common Information Question: 5/5

If the income of Company $Q$ in 2001 was $10%$ more than its income in $2000$ and the Company had earned a profit of $20%$ in $2000$, then its expenditure in $2000$ (in million US $$$) was?

 A.

28.28

 B.

30.30

 C.

32.32

 D.

34.34

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Solution:
Option(B) is correct

Let the income of Company $Q$ in $2001 = x$ million US $\$$

Then, income of Company in $2001$:

$= \left(\dfrac{110}{100}\right) × x$ million US $\$$

$⇒ \left(\dfrac{110x}{100}\right)= 40$

$⇒ x = \left(\dfrac{400}{11}\right)$

i.e., income of Company $Q$ in $2000$:

$=\left(\dfrac{400}{11}\right)$ million US $\$$

Let the expenditure of Company $Q$ in $2000$ be $E$ million US $\$$

Then,

$20 = \dfrac{[400/11 - E]}{E} × 100$ [$\because$ % Profit = 20% ]

$⇒ 20 =\left[\dfrac{400}{11E} – 1\right] × 100$

$⇒ E = \left(\dfrac{400}{11}\right)× \left(\dfrac{100}{120}\right) = 30.30$

⇒ Expenditure of Company $Q$ in $2000 =30.30$ million US $\$$


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