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AFCAT Model Paper 9

Question : 58 of 100

Marks: +1, -0

70% of (A – B) = 49% of (A + B). Then the ratio of A and B is:

Solution:

Given:

70% of (A – B) = 49% of (A + B)

Calculation:

According to question:

70 \times \frac{A - B}{100} = \frac{49(A + B)}{100}

⇒ 70(A - B) = 49 (A + B)

⇒ 10(A - B) = 7(A + B)

⇒ 10A – 10B = 7A + 7B

⇒ 10A – 7B = 7A + 10B

⇒ 3A = 17B

\Rightarrow \frac{A}{B} = \frac{17}{3}

∴ A ∶ B = 17 ∶ 3

The correct option is 1 i.e. 17 ∶ 3

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