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# Find the amount which Ram will get on ₹ 4096 if he gave it for 18 months at \(12{\Large\frac{1}{2}}\) % per annum, interest being compounded half yearly

**Solution:**

A = P[1 + (r/100)]^{n}

P = ₹ 4096

n = 18 months = \(1{\Large\frac{1}{2}}\)years

R = \(12{\Large\frac{1}{2}}\) % p.a. compounded half-yearly

For calculation of Compound Interest (C.I.) compounded half-yearly, we will take the interest rate as half of \(12{\Large\frac{1}{2}}\)% i.e, (25/2) ÷ 2 = 25/4 %

and ‘n’ = 3 (Since, 18 ÷ 6 = 3)

A = P[1 + (r/100)]^{n}

A = 4096[1 + (25/(100 × 4))]^{3}

A = 4096[1 + (25/400)]^{3}

A = 4096 × (425/400)^{3}

A = 4096 × (17/16)^{3}

A = 4096 × (17/16) × (17/16) × (17/16)

A = 4096 × (4193/4096)

A = ₹ 4913

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 8

**Video Solution:**

## Find the amount which Ram will get on ₹ 4096 if he gave it for 18 months at 12(1/2)% per annum, interest being compounded half yearly

NCERT Solutions Class 8 Maths Chapter 8 Exercise 8.3 Question 9

**Summary:**

The amount which Ram will get on ₹ 4096 if he gave it for 18 months at \(12{\Large\frac{1}{2}}\)% per annum, interest being compounded half yearly is ₹ 4913.

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