What is the ratio of the total expenditure on Infrastructure and Transport to the total expenditure on Taxes… · ABC26GN5666
Subject: General Aptitude · Chapter: Bar Graphs
The bar graph given below shows the percentage distribution of total expenditure of a company under various expense heads during a year. Study the graph carefully and answer the questions that follow:
Percentage Distribution of Total Expenditure of a Company
Expense heads
Percent spent
Infrastructure
20
Transport
12.5
Advertisement
15
Taxes
10
Research and Development
5
Salary
20
Interest on Loans
17.5
Chart drawn from the data printed in the source figure.
What is the ratio of the total expenditure on Infrastructure and Transport to the total expenditure on Taxes and Interest on Loans?
(a)5 : 4
(b)8 : 7
(c)9 : 7
(d)13 : 11
(e)Cannot be determined
Answer
Answer (as printed): D
Explanation
Let the total expenditure be ₹ $x$. Then Total expenditure on Infrastructure and Transport $$\begin{aligned} & =\{(20+12.5) \% \text { of ₹ } x\} \\ & =₹\left(\frac{32.5 \times x}{100}\right)=₹\left(\frac{325 x}{1000}\right) \end{aligned}$$ Total expenditure on Taxes and Interest on Loans $$\begin{aligned} & =\{(10+17.5) \% \text { of ₹ } x\} \\ & =₹\left(\frac{27.5 \times x}{100}\right)=₹\left(\frac{275 x}{1000}\right) \end{aligned}$$ ∴ Required ratio $=\frac{325 x}{1000}: \frac{275 x}{1000}=13: 11$.
Explanation as extracted from the printed page; notation may be imperfect.