Question

annual rate of interest is 8% the period is 5 years and the total interest is 2900 what is the principal

Answer 1

Answer:

The Principal is Rs. 7250.

Step-by-step explanation:

Given :

Rate of interest = 8%

Time = 5 years

Interest = Rs. 2900

To find :

The principal

Solution :

Here -

T = 5

R = 8

P = ?

SI = 2900

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

SI=

100

Principal×Rate×Time

\begin{gathered}\tt{\longrightarrow} \: 2900 = \dfrac{P \times 5 \times 8}{100} \\ \\ \tt{\longrightarrow} \: 2900 = \dfrac{40P}{100} \\ \\ \tt{\longrightarrow} \: 2900 \times 100 = 40P \\ \\ \tt{\longrightarrow} \: 290000 = 40P \\ \\ \tt{\longrightarrow} \: P = \dfrac{290000}{40} \\ \\ \tt{\longrightarrow} \: P = 7250\end{gathered}

⟶2900=

100

P×5×8

⟶2900=

100

40P

⟶2900×100=40P

⟶290000=40P

⟶P=

40

290000

⟶P=7250

Principal = Rs. 7250

\therefore∴ The Principal is Rs. 7250.