Question

The difference between the ci and si on a certain sum of money at 20/3% p.a. for 3 years in rs 46. find the sum​

Answer 1

Step-by-step explanation:

Time = 3 years Rate = 6 2/3 % per annum = 20/3% Let principal = Rs P Compound Interest (CI) – Simple Interest (SI) = Rs 46 C.I – S.I = Rs 46 By using the formula, P [(1 + R/100)n – 1] – (PTR)/100 = 46 P [(1 + 20/3×100)3 – 1] – (P(3)(20/3))/100 = 46 P[(1 + 20/300)3 – 1] – P/5 = 46 P[721/3375] – P/5 = 46 721/3375P – 1/5P = 46 (721P-675P)/3375 = 46 46P = 46 × 3375 46P = 46 × 3375/46 = 3375 ∴ The sum is Rs 3375.Read more on Sarthaks.com - https://www.sarthaks.com/670929/the-difference-simple-interest-and-compound-interest-certain-sum-money-per-annum-for-years