SarkariPYQ

SSC MTS 2023 PYQ — Question 20

SSC MTS - 08 May 2023 - Shift 1 • Reasoning • Q20

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The table given below shows the expenditure on six articles by two families A and B.

Articles A B
P 40 120
Q 60 70
R 80 90
S 100 50
T 110 40
U 90 80

Which of the following statement is NOT correct?

I. The expenditure on article R by A is 28.56 percent more than the expenditure on Q by B.

II. The difference between average expenditure on article P and Q by A and the average expenditure on R and S by B is 20.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. Only I.

Statement I:

Expenditure on article R by A = 80

Expenditure on article Q by B = 70

the expenditure on article R by A is 28.56% more than the expenditure on Q by B.

The difference between the expenditure on article R by A and Q by B is = 80 − 70 = 10

The percentage increase = Difference/Original value × 100

⇒ 10/70 × 100 = 14.29%

So, the expenditure on article R by A is 14.29% more than the expenditure on article Q by B, not 28.56%.

Therefore, Statement I is incorrect.

Statement II:

Average expenditure on articles P and Q by A = 40+602=50\frac{40 + 60}{2} = 50

Average expenditure on articles R and S by B = 90+502=70\frac{90 + 50}{2} = 70

the difference = 70 − 50 = 20

So, Statement II is correct.