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UPSC CDS 1 2022 Math Paper

Comprehension: (Que No. 53 - 54)

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 : 53 of 100

Marks: +1, -0

How much less amount is allocated to

A

and

C

together as compared to

B, D

and

E

together?

₹ $3.004$ lakhs
₹ $4.005$ lakhs
₹ $6.008$ lakhs
₹8.010 lakhs

Validate

Solution: 👈: Video Solution

Given:

The total budget allocated is ₹

300.4

lakhs

The budget allotted to

A, B, C, D

, and

E

are respectively

40\%, 18\%, 9\%, 25\%

, and

8\%

Formula Used:

Percentage

=(

Value

/

Total Value

) \times 100

Calculation:

Heads	Total Amount spent (in ₹) $= (\text{Value} / \text{Total Value}) \times 100$
A	$\frac{40}{100} \times 300.4 = 120.6$
B	$\frac{18}{100} \times 300.4 = 54.072$
C	$\frac{9}{100} \times 300.4 = 27.036$
D	$\frac{25}{100} \times 300.4 = 75.1$
E	$\frac{8}{100} \times 300.4 = 24.032$

The total allocated amount of

A

and

C

\Rightarrow 120.16 + 27.036 = 147.196

The total allocated amount of

B, D

, and

E

\Rightarrow 54.072 + 75.1 + 24.032 = 153.204

Subtract total amount of

A

and

C

from total amount of

B, D

and

E

\Rightarrow 153.204 - 147.196 = \text{₹} 6.008

\therefore

The amount allocated to

A

and

C

together is ₹

6.008

less than the amount allocated to

B, D

and

E

together.

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