Question

at what rate percent per annum will ₹50,000 amount to ₹86,400 in 3 years,if the interest is compounded annually????

❌ Don't sapm​

Answer 1

Given :-

• ₹ 50,000 amount to ₹86,400 in 3 years,if the interest is compounded annually.

To find :-

• Rate of percent

Solution :-

• Principal (P) = Rs.50000

• Amount (A) = Rs.86400

• Time (T) = 3 years

As we know that

→ A = P(1 + R/100)

Where " P " is Principal, " A " is amount, " R " is rate of interest and " n " is time.

• According to the question

→ A = P(1 + R/100)

→ 86400 = 50000(1 + R/100)³

→ 86400/50000 = (1 + R/100)³

→ 864/500 = (1 + R/100)³

→ 216/125 = (1 + R/100)³

→ ³√216/125 = 1 + R/100

→ 6/5 = 1 + R/100

→ 6/5 - 1 = R/100

→ 6 - 5/5 = R/100

→ 1/5 = R/100

→ 100 = 5R

→ R = 100/5

→ R = 20%

Therefore,

• Rate of interest is 20%

Answer 2

Answer:

Given:-

₹50,000 amount to ₹ 86,400 in 3

year's if the intrest compounded annually.

To find :-

. Rate of precent

Solution:-

Principal ( P) = Rs. 5000

Amount (A) = Rs. 86400

Time (T) = 3 year's

As we know that

A =P(1+R/100)

Where "P" is the principal "A" is amount ."

R is rate of intrest and "n" is time.

. According to the question

A= P(1+R/100)

86400/5000 = (1+R/100) 3

86400/5000=(1+R/100) 3

864/500 = (1+R/100) 3

216/215 = (1+R/100) 3

3√ 216/215 = 1+R/100

6/5 = 1+R/100

6 -5/5= R/100

1/5 = R/100

100 = 5R

R= 100/5

R= 20%

Therefore:-

. Rate of interest is 20%

$\: \: \: \: \: \: \: \: hope \: it \: help \: uh \: buddy \:$