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SSC CGL 2022 PYQ — Question 39

SSC CGL Tier II - Quant - 3 Feb 2022 • Quantitative Aptitude • Q39

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A sum of Rs. 50250 is divided into two parts such that the simple interest on the first part for 712\frac{1}{2}years at 813\frac{1}{3}% p.a. is 52\frac{5}{2}times the simple interest on the second part for 514\frac{1}{4} years at 8% p.a. What is the difference (in Rs.) between the two parts?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 12750.

Let the two parts be 'x' and (50250 - x)

(x × 15/2 × 25/3)/100 = 5/2 × [(50250 - x) × 21/4 × 8]/100

25x = ( 50250 - x) × 42

x = 31500

Second part = 50250 - 31500 = 18750

Difference of both the parts = 31500 - 18750 = 12750.