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SSC Selection Post 2022 PYQ — Question 54

SSC Selection Post - Matriculation Level 2022 - 14 March 2022 - Shift 1 • Quantitative Aptitude • Q54

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A sum of x will amount to ₹38,637 at 8% p.a. in 234\frac{3}{4}  years, when the interest is compounded annually. The value of x is:
 

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Correct answer: A

Explanation

The correct answer is Option 4 i.e. 31,250.

the Principal = x

⇒ P(1 + R/100)N (1 + (A/B × R)/100)

38,637 = x (1 + 8/100)2 (1 + (3/4 × 8)/100)

⇒ 38,637 = x (108/100)2 (1 + 6/100)

⇒ 38,637 = x (27/25)2 (1 + 3/50)

⇒ 38,637 = x (27/25)2 (53/50)

⇒ (38,637 × 50 × 25 × 25)/(27 × 27 × 53) = x

⇒ x = 31,250