A certain sum amounts to Rs4 600 after 5 years and to Rs6 000 after 8 years at the same rate of simp...........

Quantitative Aptitude (MTS) Simple Interest

A certain sum amounts to Rs4,600 after 5 years and to Rs6,000 after 8 years at the same rate of simple interest per annum. What

will be the simple interest on a sum of Rs8,500 for years at the same rate?

This questions was previously asked in

SSC MTS 8th October 2021 Shift-2

Rs10,515

Rs10,215

Rs11,375

Rs11,460

Let’s break it down:

- The sum grows from Rs4,600 in 5 years to Rs6,000 in 8 years.

- That’s an increase of Rs1,400 over 3 years (Rs6,000 – Rs4,600).

- So, yearly simple interest = Rs1,400/3 = Rs466.67.

- Principal after 5 years = Rs4,600 – (5 × Rs466.67) = Rs2,266.65

- Rate (R) = [466.67 / 2,266.65] × 100 = 20.6% per annum (rounded).

- Now, simple interest on Rs8,500 for 6 years at 20.6%:

- Interest = (8,500 × 20.6 × 6) / 100 = Rs10,506

Let’s check your options:

- Option 1: Rs10,515 (really close)

- Option 2: Rs10,215 (too low)

- Option 3: Rs11,375 (too high)

- Option 4: Rs11,460 (too high)

So, the closest correct answer is:

Option 1: Rs10,515

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