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Rajesh borrowed Rs. 1500 from Shabnam at some r% for one year and returned Rs. 1725. If he had borrowed same money for 4 years at (r + 5)%, then what is the amount he would have returned?

Rajesh borrowed Rs. 1500 from Shabnam at some r% for one year and returned Rs. 1725. If he had borrowed same money for 4 years at (r + 5)%, then what is the amount he would have returned? Correct Answer Rs. 2700

Given:

Principal is Rs. 1500

Amount is Rs. 1725

And time is 1 year.

Formula used:

S.I. = Amount - Principal

S.I. = (P × r × t)/100

Here, P = Principal

r = Rate

t = Time

Calculation:

S.I. = Rs. 1725 - Rs. 1500

⇒ S.I. = Rs. 225

Again, S.I. = Rs. 1500 × r × 1/100

⇒ 15r = Rs. 225

⇒ r = 15

So, r + 5 = 15 + 5

⇒ (r + 5)% = 20%

Now, S.I. of Rs. 1500 for 4 years at 20%

⇒ Rs. 1500 × 20 × (4/100)

⇒ Rs. 1200

So, amount = Rs. 1500 + Rs. 1200

⇒ Amount = Rs. 2700

∴ Rajesh would have returned Rs. 2700.

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