Math, asked by guptamamt850gmailcom, 7 months ago

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


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Answers

Answered by MяƖиνιѕιвʟє
523

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)ⁿ

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)ⁿ

→ 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%

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Answered by Anonymous
56

Answer:

Ans. Amount (A)= 86400

Time(n) = 3 years

Principal (P)= 50000

Let rate (r) = r%

Then We Know,

A=P×(1+r100)n

=>86400=50000×(1+r100)3

=>8640050000=(1+r100)3

=>216125=(1+r100)3

=>(65)3=(1+r100)3

On comparing, We get

=>(65)=(1+r100)

=>65−1=r100

=>15=r100=>r=20%

Step-by-step explanation:

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