Math, asked by ashoklohia77272, 8 months ago

4. Find the difference between
Compound Interest and Simple
Interest on Rs 45,000 at 12% per
annum for 2 years.​

Answers

Answered by charusharma64
4

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Answered by RvChaudharY50
24

Given :-

  • Principal = P = Rs.45,000
  • Rate = R = 12% per annum.
  • Time = T = 5 years.

To Find :-

  • The difference between Compound Interest and Simple Interest = CI - SI = ?

Solution :-

we know that, when rate is annually ,

  • SI = (P * R * T)/100
  • CI = P[{1 + (R/100)}^T - 1]

so,

→ CI - SI = P[{1 + (R/100)}^T - 1] - (P * R * T)/100

putting all given values we get,

→ CI - SI = 45000[{1 + (12/100)}⁵ - 1] - (45000 * 12 * 5)/100

→ CI - SI = 45000[{1 + (3/25)}⁵ - 1] - 450 * 60

→ CI - SI = 45000[(28/25)⁵ - 1] - 27000

→ CI - SI = 45000[1.76234 - 1] - 27000

→ CI - SI = 45000 * 0.76234 - 27000

→ CI - SI = 34305.3 - 27000

→ CI - SI = Rs.7305.3 (Ans.)

Hence, the difference between Compound Interest and Simple Interest for 5 years is Rs.7305.3 .

Learn more :-

CI in 2yr is Rs. 1600 and in 3 yrs it will be Rs. 1700. Find the rate of interest.

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