Question

If there is 45% increase in amount in 3 years at simple interest, what will be the compound interest of Rs.
12,000 at the same rate after 2 years?
0 15600
O 3600
1800
3870
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Clear Response
Version - 17 05 21​

Answer 1

Answer:

3870

Step-by-step explanation:

Answer 2

Given :- If there is 45% increase in amount in 3 years at simple interest, what will be the compound interest of Rs.

12,000 at the same rate after 2 years ?

A) 15600

B) 3600

C) 1800

D) 3870

Solution :-

Let us assume that, Principal is Rs. x and Let rate of interest is R% annually .

Than from given data we have :-

• Principal = Rs.x
• Rate = R% per annum.
• Time = 3 years.
• SI = 45% of x .

we know that ,

• SI = (P * R * T) / 100

Putting all values we get,

→ 45% of x = (x * R * 3)/100

→ (45 * x)/100 = (x * R * 3)/100

→ 45 = 3R

dividing both sides by 3 ,

→ R = 15% .

Now, we have to find compound interest of Rs.12,000 at the same rate as 15% after 2 years.

we know that,

• CI = P[{1 + (R/100)}^time - 1]

Putting values now we get,

→ CI = 12000[{ 1 + (15/100)}² - 1]

→ CI = 12000[{1 + (3/20)}² - 1]

→ CI = 12000[(23/20)² - 1]

→ CI = 12000[(529/400) - 1]

→ CI = 12000[(529 - 400)/400]

→ CI = 12000 * (129/400)

→ CI = 30 * 129

→ CI = Rs.3,870 (Option D) (Ans.)

Hence, Required Compound interest will be Rs.3,870.

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