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SSC CGL 2025 PYQ — Question 69

SSC CGL - 17 Sep 2025 - Shift 3 • Quantitative Aptitude • Q69

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A sum of ₹5000 is lent out in two parts, one at 6% simple interest and the other at 9% simple interest, if the annual interest is ₹390, the sum lent at 6% is:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. ₹2000.

SI = (P × R × T)/100

Let the sum lent at 6% be x and at 9% be (5000 - x)

Simple interest for one year: x×6×1100+(5000−x)×9×1100=390\frac{x \times 6 \times 1}{100} + \frac{(5000 - x) \times 9 \times 1}{100} = 390

⇒ 6x + 9(5000 - x)= 39000

⇒ 6x + 45000 - 9x = 39000

⇒ -3x = -6000

⇒ x = 2000