Therate of simple interest for first two years is 8 p a for the next 4 years it is 10 p a and for th...........

Quantitative Aptitude (CGL) Simple Interest

Therate of simple interest for first two years is 8% p.a., for the next 4 years,it is 10% p.a. and for the period beyond 6 years,it is

12% p.a. Ifa person gets Rs18358.60 as simple interest after 9 years, then how much money (in Rs)did he invest?

This questions was previously asked in

SSC CGL 13th August 2021 Shift-2

20087

19674

19955

21075

Let’s break this down:

- The interest rates change over time: 8% for the first 2 years, 10% for the next 4 years, and 12% for the final 3 years (making 9 years in total).

- Simple interest = Principal × Rate × Time / 100. Do this for each period, using the principal P.

- First 2 years: Interest = P × 8 × 2 / 100 = 0.16P

- Next 4 years: Interest = P × 10 × 4 / 100 = 0.40P

- Last 3 years: Interest = P × 12 × 3 / 100 = 0.36P

- Total Interest = 0.16P + 0.40P + 0.36P = 0.92P

- Set 0.92P = 18358.60

- So, P = 18358.60 / 0.92 = 19955

Here’s what this really means: Option 3 (Rs 19955) is the number we’re looking for.

Option 3 – 19955 is correct.

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