Question

12. What sum will amount to 4590 at 12% per annum simple interest in 3 years?
In a nutshell​

Answer 1

≡QUESTION≡

What sum will amount to 4590 at 12% per annum simple interest in 3 years?

                                                                                     

║⊕ANSWER⊕║

Amount= Rs 4590

R of interest = 12%

Time = 3 years

Let principle = P Rs

S.I = P * T * R/100

S.I = P * 3 * 12/100

S.I = 36 P/100

Amount = principle + interest

4590 = P + 36 P/100

4590 = 136 P/100

P = 4590*100/136

   = Rs 3375

∴Sum (principle) = Rs 3375

                                                                                   

Answer 2

Answer:

The Principal is Rs. 3375.

Step-by-step explanation:

Given :

Amount = Rs. 4590

Rate = 12%

Time = 3 years

To find :

The principal

Solution :

$\boxed{\tt{SI = \frac{Principal \times Rate \times Time}{100}}}$

$\implies{\tt{SI = \dfrac{P\times 12 \times 3}{100}}} \\ \\ \implies{\tt{SI = \dfrac{36P}{100}}}$

$\rule{300}{1.5}$

$\boxed{\tt{Amount = Principal + Simple \: Interest}}$

$\implies{\tt{ 4590=P + \dfrac{36P}{100}}} \\ \\ \implies{\tt{ \: 4590 = \dfrac{100P + 36P}{100}}} \\ \\ \implies{\tt{ 4590 = \dfrac{136P}{100}}} \\ \\ \implies{\tt{ 4590 \times 100 = 136P}} \\ \\ \implies{\tt{P = \dfrac{459000}{136}}} \\ \\ \implies{\tt{ P = 3375}}$

Principal = Rs. 3375

$\therefore$ The Principal is Rs. 3375.