If the compound interest on a certain sum of money for 2 years at 5% p.a. is ₹328, then the sum is equal to:
Answer & explanation
Correct answer: option 4
Formula used-
Amount = P$(1 \;+\; \frac{R}{100})^t$
Compound Interest = Amount - Principal
Here, Compound interest = Rs 328 , R = 5%, t = 2 years
328 = P$(1 \;+\; \frac{5}{100})^2$ - P
⇒ 328 = P[$(\frac{21}{20})^2 - 1$]
⇒ 328 = P[$\frac{441}{400}$ - 1]
⇒ 328 = P[$\frac{41}{400}$]
⇒ P = $\frac{328 \times 400}{41}$
⇒ P = 3200
Thus, Sum borrowed is Rs 3200