Math, asked by adityaraj0114, 1 month ago

The simple interest on a sum
of money will be Rs. 150 after 4
years. In the next 4 years prin-
cipal becomes 5 times, what
will be the total interest at the
end of the 8th year?​

Answers

Answered by sagardsumit95
4

Answer:

900

Step-by-step explanation:

I=150

T=4

let P=P

R=?

I=PTR

150=P×4×R

75/2P=R

Next 4 years

P=5P

I=PTR

I=5P×4×75/2P

I=750

Total interest = 150+750

900

Answered by Anonymous
31

Given :

  • The simple interest on a sum of money will be Rs. 150 after 4 years.
  • In the next 4 years principal becomes 5 times.

To find :

  • The total interest at the end of the 8th year?

Solution :

• Let's consider the original rate be r.

We know that,

  • I = P × T × R/100

→ 150 = P × R × 4/100

→ 150 × 100 = P × R × 4

→ P × R = 15000/4

→ P × R = 3750

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

« Now, Finding S.I of those 4 years, when principal becomes 5 times of S.I,

→ 5P × 4 × 75/2P

Cancelling P,

→ 20 × 75/2

→ 10 × 75

→ 750

∴ Hence, The total interest is 750 + 150 I.e 900.

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

⠀⠀⠀⠀⠀★ More to know :

  • S.I = P × T × R/100

  • If t isn't in years convert months to fraction or decimal.

  • Principal is the amount of money invested.

  • Intrest is percentage.

  • Time must be expressed same as rate percent.

  • To find amount use the formula, A = P(1 + Rt)
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