Question

lucky invested a sum of money in the bank for 5 years at 9% per annum S.I. If the amount after this period is ₹10150 what was the principle deposited?

Answer 1

Explanation :

here Principal=p

Time = 5years

Rate = 9%

amount = Rs 10150

1st find out Sl

p×r×t/100

= p×9×5/100

9P/20

PRINCIPLE = AMOUNT - SIMPLE INTEREST

P= 10150 - 9P/20

P+9P/20 =10150

(adding p+ 9p/ 20 )

29P/20 = 10150

P= 10150×20/29

20300/29

= 700 (ANSWER (P))

AND PLEASE MARK ME AS BRAINLIEST

Answer 2

Given:-

• Time Period,T = 5 years
• Rate of interest,R = 9%
• Amount Received,A = ₹10150

To find:-

• Principal Amount,P

Solution:-

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

$\implies$$\sf P+ \frac{P \times T \times R}{100}= Amount$

$\:\;\:\:\:\;\:\;\:\:\:\;\:\:\:\;\:\:\;\:\:\:\:\;\:\:\;\:\: \sf (Simple \:interest=\frac{P \times T \times R}{100})$

Putting Values-

$\sf P+\frac{P \times \cancel5 \times 9}{\cancel{100}}= 10150$

$\implies$$\sf P+\frac{ 9P}{20}= 10150$

$\implies$$\sf \frac{ 29P}{20}= 10150$

$\implies$$\sf P= \frac{10150 \times 20}{29}$

$\implies$$\sf P= \frac{20300}{29}$

$\implies$$\sf P= 7000$

$\boxed{\sf Principal \:Deposited= ₹ 7000}$