Question Details

Fiscal deficit was 4% of the GDP in 2015 and that increased to 5% in 2016. If the GDP increased by 10% from 2015 to 2016, the percentage increase in the actual fiscal deficit is ____________.

Options

A

35.70

B

10.00

C

37.50

D

25.00

Correct Answer :

37.50

Solution :

The correct option is 37.50.

Let us break down the solution step-by-step to find the percentage increase in the actual fiscal deficit from 2015 to 2016.

Step 1: Define the variables for the GDP in 2015 and 2016
Let the Gross Domestic Product (GDP) of the country in the year 2015 be represented as:
GDP 2015 = x
According to the problem, the GDP increased by 10% from 2015 to 2016. Therefore, the GDP in 2016 is:
GDP 2016 = x + 0.10 x = 1.10 x

Step 2: Calculate the actual fiscal deficit in 2015 and 2016
In 2015, the fiscal deficit was 4% of the GDP. Thus, the actual fiscal deficit in 2015 was:
Fiscal Deficit 2015 = 4 % of GDP 2015 = 0.04 x
In 2016, the fiscal deficit increased to 5% of the GDP. Thus, the actual fiscal deficit in 2016 was:
Fiscal Deficit 2016 = 5 % of GDP 2016 = 0.05 × ( 1.10 x ) = 0.055 x

Step 3: Calculate the percentage increase in the actual fiscal deficit
The increase in the actual fiscal deficit is the difference between the deficits of 2016 and 2015:
Increase = 0.055 x 0.04 x = 0.015 x
Now, we calculate the percentage increase with respect to the initial actual fiscal deficit in 2015:
Percentage Increase = ( 0.015 x 0.04 x ) × 100
Simplifying the fraction:
Percentage Increase = 15 40 × 100 = 3 8 × 100 = 37.50 %

Thus, the percentage increase in the actual fiscal deficit is 37.50%.

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