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MAT Exam 2023 Paper

Question Numbers: 136-140

DIRECTIONS (Qs. 136-140): Go through the pie chart/s given below and answer the question that follows.

The distribution of construction of Solar Power Plant (S.P.P.) in the world in 2024 and the cost incurred in building and maintaining these Solar Power Plants (S.P.P.) in 2024 was tabulated countrywise and drawn in the pie chart.

Total cost incurred in constructing and maintaining (S.P.P) in world in 2024 = $3500 million

Question : 140 of 200

Marks: +1, -0

If the cost of building and maintaining of (S.P.P) of USA increases by 15% in 2025 and that of UK by 10% in the same period, how much amount will USA have to spend more than UK in building and maintaining Solar Power Plant. (Assume that distribution shall remain same as in 2024).

$ 150 million
$200 million
$227.50 million
None of these

Validate

Solution:

Concept:

Find each country's cost for 2025 after applying the given percentage increase, then compare the two amounts.

Explanation:

Total cost of Solar Power Plants in 2024 is

3500

million dollars.

From the pie chart, USA accounts for

20\%

of the total cost.

So USA's cost in 2024 is

\frac{20}{100} \times 3500 = 700

million dollars.

From the pie chart, UK accounts for

15\%

of the total cost.

So UK's cost in 2024 is

\frac{15}{100} \times 3500 = 525

million dollars.

In 2025, USA's cost increases by

15\%

Thus, USA's cost in 2025 is

700 \times 1.15 = 805

million dollars.

In 2025, UK's cost increases by

10\%

Thus, UK's cost in 2025 is

525 \times 1.10 = 577.5

million dollars.

The extra amount USA spends over UK in 2025 is

805 - 577.5 = 227.5

million dollars.

Answer:

USA will have to spend

227.50

million dollars more than UK.

So the correct option is C.

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