Question

Annual rate of interest = 8 %
Period = 5
Total interest= 2900
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

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

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

Principal = Rs. 7250

$\therefore$ The Principal is Rs. 7250.

Answer 2

$\huge{\mathtt{\red{Answer}}}$

⟹ Rs 7250

$\huge{\mathtt{\red{Given}}}$ ⟹

${\mathtt{\red{Rate}}}$ = ${\mathtt{\red{8}}}$ %

${\mathtt{\red{Interest}}}$ = 2900

${\mathtt{\red{Time}}}$ = ${\mathtt{\red{5 \: years}}}$

$\mathtt \blue{interest = \frac{principal.rate.time}{100} }$

⟹ $\mathtt{2900 = \frac{p.8.5}{100}}$

⟹ $\mathtt{2900 = \frac{40p}{100} }$

⟹ $\mathtt{14500 = 2p}$

⟹ $\mathtt{ \frac{14500}{2} = p}$

⟹ $\mathtt \red{principal \: = 7250}$

⟹ $\huge{\mathtt{\red{Verification}}}$

⟹ (7250×5×8)/100

⟹ 290000/100

⟹ 2900