Question

X borrowed₹400000 from a money lender he was charged 8% interest half yearly what amount did he have to return after 1 and half years

Answer 1

Answer:

The amount to be paid after 1 and half years is Rs. 4,49,945.6

Step-by-step explanation:

Solution :

Time = 1.5 years = 18 months

⇒ 18/12 × 2

⇒ 3/2 × 2

⇒ 3

$\rule{300}{1}$

Rate = 8%

⇒ 8/2

⇒ 4%

$\rule{300}{1}$

★ A = P(1 + R/100)^(n)

⇒ A = 400000(1 + 4/100)³

⇒ A = 400000(104/100)³

⇒ A = 400000 × (26/25)³

⇒ A = 400000 × 26/25 × 26/25 × 26/25

⇒ A = 640 × 26 × 26 × 26/25

⇒ A = 11248640/25

⇒ A = 4,49,945.6

Amount = Rs. 449,945.6

$\therefore$ The amount to be paid after 1 and half years is Rs.4,49,945.6

Answer 2

Answer

4449945.6 after 1.5 years

Given

money borrowed=400000

Charged =8% (half yearly)

To Find

Amount return after 1.5 years

Solution

1.5 years = 18month

=$\frac{18month}{6month}$ (because of half yearly)

=>n=3

__________________________

=>Rate:-$\frac{8}{2}$

=>Rate:-4%

__________________________

Compound interest

A=P(1+$\frac{R}{100}$)³

A=400000(1+$\frac{4}{100}$)³

A=400000($\frac{100+4}{100}$)³

A=400000($\frac{104}{100}$)³

After calculation

A=400000($\frac{104\times104\times104}{100\times100\times100}$)

A=449945.6

Hence,the amount paid by borrower after 1.5 years is 449945.6