Find the compound interest on ₹ 25 , 000 at 12 % per annum for 2 1 2 years, compounded annually.

Given, principal = ₹ 25 , 000 Rate of interest, R = 12 % Time period, T = 2 1 2 years = 5 2 years Compound amount half-yearly, A = P 1 + R 200 2 T = 25000 1 + 12 200 2 × 5 2 = 25000 1 + 3 50 5 = 25000 × 53 50 × 53 50 × 53 50 × 53 50 × 53 50 = 53 1 × 53 1 × 53 5 × 53 50 × 53 50 = 33455 . 6 Compound interest = A - P = ₹ 33455 . 6 - ₹ 25000 = ₹ 8455 . 6 Therefore, compound interest is ₹ 8455 . 6

Find the compound interest on ₹ 25 , 000 at 12 % per annum for 2 1 2 years, compounded annually.

Given, principal = ₹ 25 , 000 Rate of interest, R = 12 % Time period, T = 2 1 2 years = 5 2 years Compound amount half-yearly, A = P 1 + R 200 2 T = 25000 1 + 12 200 2 × 5 2 = 25000 1 + 3 50 5 = 25000 × 53 50 × 53 50 × 53 50 × 53 50 × 53 50 = 53 1 × 53 1 × 53 5 × 53 50 × 53 50 = 33455 . 6 Compound interest = A - P = ₹ 33455 . 6 - ₹ 25000 = ₹ 8455 . 6 Therefore, compound interest is ₹ 8455 . 6

At what rate of compound interest will a sum of money become 125 64 times of itself in 3 years?

To find: At what rate of compound interest will a sum of money become 125 64 times of itself in 3 years. Thus, A = 125 64 P n = 3 years We know that, A = P 1 + r 100 n ⇒ 125 64 P = P 1 + r 100 3 ⇒ 125 64 = 1 + r 100 3 ⇒ 1 + r 100 = 5 4 ⇒ r 100 = 5 4 - 1 ⇒ r 100 = 1 4 ⇒ r = 100 4 ⇒ r = 25 Therefore, rate of intterest 25 %

E M B I B E

Maths Hub (ICSE)>Chapter 11 - Compound Interest>TEST YOURSELF>Q 3

HARD

8th ICSE

IMPORTANT

Earn 100

Find the compound interest on $₹ 25, 000$ at $12 %$ per annum for $2 \frac{1}{2}$ years, compounded annually.

Important Questions on Compound Interest

HARD

8th ICSE

IMPORTANT

Maths Hub (ICSE)>Chapter 11 - Compound Interest>TEST YOURSELF>Q 4

Find the sum which amounts to

₹ 14, 310

in

1

year

9

months at

8 %

per annum, compounded annually.

HARD

8th ICSE

IMPORTANT

Maths Hub (ICSE)>Chapter 11 - Compound Interest>TEST YOURSELF>Q 5

On a certain sum, borrowed at $10 %$ per annum for $1$ year, the difference between the compound interest reckoned half-yearly and that reckoned quarterly is $₹ 33.61$ . Calculate the sum.

MEDIUM

8th ICSE

IMPORTANT

Maths Hub (ICSE)>Chapter 11 - Compound Interest>TEST YOURSELF>Q 6

At what rate of compound interest will a sum of money become $\frac{125}{64}$ times of itself in $3$ years?

MEDIUM

8th ICSE

IMPORTANT

Maths Hub (ICSE)>Chapter 11 - Compound Interest>TEST YOURSELF>Q 7

Nikhil invested $₹ 6000$ in a company at compound interest, compounded semi-annually. He receives $₹ 7986$ after $18$ months from the company. Find the rate of interest per annum.

MEDIUM

8th ICSE

IMPORTANT

Maths Hub (ICSE)>Chapter 11 - Compound Interest>TEST YOURSELF>Q 8

A factory increased its production of three-wheelers from