# A Certain Sum of Money Invested for 5 Years at 8% P.A. Simple Interest Earns an Interest of ₹ 12,000. Find: (I) the Sum of Money. (Ii) the Compound Interest Earned by this Money in Two Years - Mathematics

Sum

A certain sum of money invested for 5 years at 8% p.a. simple interest earns an interest of ₹ 12,000. Find:
(i) the sum of money.
(ii) the compound interest earned by this money in two years and at 10% p.a. compound interest.

#### Solution

Rate (R) = 8% p.a.

Period (T) = 5 years

Interest (I) = ₹12000

(i) ∴ Sum = ("I"xx100)/("R"xx"T")

=₹(12000xx100)/(8xx5)

= ₹30000

(ii) Rate (R) = 10% p.a.

Time (T) = 2 years

Principal (P) = ₹30000

Interest for the first year = "PRT"/100

=₹(30000xx10xx1)/100

= ₹3000

∴ Amount after one year = ₹30000 + 3000

= ₹33000

Principal for the second year = ₹33000

Interest for the second year =(33000xx10xx1)/100

= ₹3300

∴ Compound Interest for two years

= ₹3000 + 3300

= ₹6300

Is there an error in this question or solution?

#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 9 Interest
Exercise 9 (C) | Q 18 | Page 115