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UPSC CDS 1 2022 Math Paper

Question Numbers: 95-96

Direction : Consider the following for the two (02) items that follow :

The budget allocations represented in a pie diagram under five different heads A, B, C, D and E are respectively 40%, 18%, 9%, 25% and 8%. The total budget allocation is ₹300.4 lakhs.

Question : 96 of 100

Marks: +1, -0

How much amount will be increased on A if the total budget is increased by three times?

₹360.48 lakhs
₹300.36 lakhs
₹240.32 lakhs
₹180.40 lakhs

Validate

Solution:

Concept:

The amount allocated to

A

increases proportionally to the total budget increase. The increase in

A

equals

40\%

of the total budget increment.

Explanation:

Given: Original total budget

= ₹300.4

lakhs.

Total budget is increased by three times, so new total

= 3 \times 300.4 = ₹901.2

lakhs.

Increment in total budget

= 901.2 - 300.4 = ₹600.8

lakhs.

Amount allocated to

A

40\%

of the total budget.

Hence, increase in amount for

A = 40\%

of the increment

= \frac{40}{100} \times 600.8 = \text{Rs.}240.32

lakhs.

Answer:

₹240.32

lakhs (Option C).

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