On a certain sum the difference in the compound interest and the simple interest for 2 years at 15% per annum is ₹270. Find the simple interest on the same sum for 5 years at 10% per annum.

₹6,000

Difference between CI and SI = (x% + x% + \(\frac{ x × x}{100}\)% ) - ( 2x% )

= \(\frac{ 15 × 15}{100}\)% 

= 2.25%

ATQ,

2.25% = 270

1% = 120

Principal = 100% = 12000

Now,

SI = \(\frac{ P × R × T}{100}\)

= \(\frac{ 12000 × 10 × 5}{100}\)

= 6000

The correct answer is Option (3) → ₹6,000