Question

9. Find the amount to be paid at the end of 3 years in each case:
(a) Principal = 1.200 at 12% p.a. (b) Principal = 7,500 at 5%p.a.
mys?80 as interest on a sum of 56,000 in 2 years?
10​

Answer 1

Correct Question

Find the amount to be paid at the end of 3 years in each case:

(a) Principal = 1,200 at 12% per annum

(b) Principal = 7,500 at 5% per annum

Answer

(a) First, we should find the simple interest.

Simple interest :

${\sf \dashrightarrow \dfrac{P \times R \times T}{100}}$

${\sf \dashrightarrow \dfrac{1200 \times 12 \times 3}{100}}$

${\sf \dashrightarrow \dfrac{1200 \times 36}{100}}$

${\sf \dashrightarrow \dfrac{12 \times 36}{1}}$

${\sf \dashrightarrow \dfrac{432}{1} = 432}$

Now, we can find the total amount.

Total Amount :

${\sf \dashrightarrow Simple \: Interest + Principle}$

${\sf \dashrightarrow 432 + 1200}$

${\sf \dashrightarrow Rs.1632}$

Hence, the total amount is ₹1632.

(b) First, we should find the simple interest.

Simple interest :

${\sf \dashrightarrow \dfrac{P \times R \times T}{100}}$

${\sf \dashrightarrow \dfrac{7500 \times 5 \times 3}{100}}$

${\sf \dashrightarrow \dfrac{7500 \times 15}{100}}$

${\sf \dashrightarrow \dfrac{75 \times 15}{1}}$

${\sf \dashrightarrow \dfrac{1125}{1} = 1125}$

Now, we can find the total amount.

Total Amount :

${\sf \dashrightarrow Simple \: Interest + Principle}$

${\sf \dashrightarrow 1125 + 7500}$

${\sf \dashrightarrow Rs.8625}$

Hence, the total amount is ₹8625.