Math, asked by rjahan060, 2 days ago

Find the amount for Rs. 4000 for 2 years at the rate of 8% per annum.​

Rs.4665.60

Rs.4865.60

Rs.3665.60

Rs.4635.60

which one is the answer?

Answers

Answered by stuanshu10470
1

Answer:

Rs.4865.60

Step-by-step explanation:

plz make me brainlist

Answered by StarFighter
4

Answer:

Given :-

  • A sum of Rs 4000 for 2 years at the rate of 8% per annum.

To Find :-

  • What is the amount.

Formula Used :-

\clubsuit Amount Formula :

\bigstar \: \: \sf\boxed{\bold{\pink{A =\: P\bigg(1 + \dfrac{r}{100}\bigg)^n}}}\: \: \: \bigstar\\

where,

  • A = Amount
  • P = Principal
  • r = Rate of Interest
  • n = Time Period

Solution :-

Given :

  • Principal (P) = Rs 4000
  • Rate of Interest (r) = 8% per annum
  • Time Period (n) = 2 years

According to the question by using the formula we get,

\implies \bf A =\: P\bigg(1 + \dfrac{r}{100}\bigg)^n\\

\implies \sf A =\: 4000\bigg(1 + \dfrac{8}{100}\bigg)^2\\

\implies \sf A =\: 4000\bigg(\dfrac{100 \times 1 + 8}{100}\bigg)^2\\

\implies \sf A =\: 4000\bigg(\dfrac{100 + 8}{100}\bigg)^2\\

\implies \sf A =\: 4000\bigg(\dfrac{108}{100}\bigg)^2\\

\implies \sf A =\: 4000\bigg(\dfrac{108}{100} \times \dfrac{108}{100}\bigg)\\

\implies \sf A =\: 4000\bigg(\dfrac{108 \times 108}{100 \times 100}\bigg)\\

\implies \sf A =\: 4000\bigg(\dfrac{11664}{10000}\bigg)\\

\implies \sf A =\: 4000 \times \dfrac{11664}{10000}\\

\implies \sf A =\: \dfrac{4000 \times 11664}{10000}\\

\implies \sf A =\: \dfrac{46656000}{10000}\\

\implies \sf\bold{\red{A =\: Rs\: 4665.60}}\\

\sf\bold{\purple{\underline{\therefore\: The\: amount\: is\: Rs\: 4665.60\: .}}}\\

Hence, the correct options is option no (A) 4665.60 .

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