Data Interpretation - Bar Charts - Discussion

Discussion Forum : Bar Charts - Bar Chart 6 (Q.No. 3)
Directions to Solve

The bar graph given below shows the percentage distribution of the total expenditures of a company under various expense heads during 2003.

Percentage Distribution of Total Expenditure of a Company


3.
What is the ratio of the total expenditure on infrastructure and transport to the total expenditure on taxes and interest on loans?
5:4
8:7
9:7
13:11
Answer: Option
Explanation:

Let the total amount of expenditures be Rs. x.

Then, the total expenditure on infrastruture and transport

    = Rs. [(20 + 12.5)% of x]

    = Rs. [32.5% of x]

    = Rs. ( 32.5x )
100

and total expenditure on taxes and interest on loans

    = Rs. [(10 + 17.5)% of x]

    = Rs. [27.5% of x]

    = Rs. ( 27.5x )
100

Therefore Required ratio = ( 32.5x/100 ) = 13 .
27.5x/100 11

Discussion:
5 comments Page 1 of 1.

Agnes Ochiba said:   2 years ago
Infrastructure + transport = 32.5.
Taxes + loan = 27.5,
Ratio of total expenditure = 32.5 : 27.5.
= 32.5/27.5,
= 325/275.
= 13/11.
(1)

Ram said:   6 years ago
Sir, can you please explain the solution for converting 1.18 into ratio i.e. 13/11?
(1)

Brian said:   8 years ago
@Meliza.

Try this technique.

Infrastructure + transport = 32.5.
Taxes + loan = 27.5.

32.5/27.5 = 1.18.
13/11 = 1.18.
(1)

Amit Soni said:   10 years ago
First we need to know what is total total expenditures of a company. From previous question, We know that expenditure for advertisement is = 2.10 crores.

So total expenditure of company is,
x = 2.10 (expenditure of advertisement) / 15 %.
x = 210/15 = 14 crore.

Now the total expenditure on infrastructure = 20 % of 14 = 2.8 crore.
Total expenditure on Transport = 12.5 % of 14 = 1.75 crores.

Total expenditure on taxes = 10 % of 14 = 1.4 crores.

Total expenditure on interest on loans = 17.5 % of 14 = 2.45 crores.

Therefore Required ratio = 2.8+1.75 /1.4+2.45 = 4.55/3.85 = 13/11.

So required ratio is 13:11.

Meliza said:   10 years ago
Still do not comprehend the answer. Would you please elaborate what the "X" stands for in the solution?

Post your comments here:

Your comments will be displayed after verification.