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SSC GD 2025 PYQ — Question 59

SSC GD Const 2025 (English) - 04 Feb 2025 - Shift 1 • Quantitative Aptitude • Q59

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If at same rate of interest, in 2 years, the simple interest is ₹42 and compound interest is ₹51, then what is the principal (in ₹)?

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 49.

SI (2 yrs) = ₹42

CI = ₹51

Difference = ₹9

Let P be principal

Difference = (SI)2/(100 × P) 

⇒9=422100×P⇒9=1764100P⇒100P=17649=196⇒P=196100=₹49\Rightarrow 9 = \frac{42^2}{100 \times P} \Rightarrow 9 = \frac{1764}{100P} \Rightarrow 100P = \frac{1764}{9} = 196 \Rightarrow P = \frac{196}{100} = ₹49