Question

What sum will amount to rs 12400 in 2 years at 12% per annum ​

Answer 1

Question :

What sum/principal will amount to ₹12,400 in 2 years at 12% per annum. simple intrest?

Given:

Amount = ₹12,400

Rate = 12%

Time = 2 Years

To Find :

Simple intrest

Solution:

Let the principal be P

Therefore ,

I = \frac{P * R * T }{100}

100

P∗R∗T

.

I = \frac{P * 12 * 2}{100 }

100

P∗12∗2

I = \frac{6P }{25}

25

6P

I = \frac{6P}{25}

25

6P

Amount = A = P + I

= A = P + \frac{6P}{25}

25

6P

= \frac{25P }{25}

25

25P

+ \frac{6P }{25}

25

6P

= \frac{31P}{25}

25

31P

But A/Q

Amount is given as ₹12,400

\frac{31 P}{25}

25

31P

= 12400

31 P = 25 * 12400

P = \frac{25 * 12400}{31}

31

25∗12400

P = 10,000

Principal = 10,000

______________________

So Intrest =

\frac{3 * 10000}{25}

25

3∗10000

1200

______________________

Hence , Intrest = 1200

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Answer 2

Step-by-step explanation:

R = 12% T = 2

Simple Interest (S.I) = P×R×T /100

= P×12×2/100

= 24P /100

S. I = 6P/25

Amount (A) = P + S. I = P + 6P /25

A = 25P+6P/25P

A = 31P/25

But A/Q

Amount is given as ₹12,400

Therefore 31P/25 = 12,400

31P = 12,400 × 25

P = 310000/310

P = 1000

So Simple Interest (S.I) = 6P/25 = 6×10000/25

S. I = 60000/25

S. I = 2400.