Question

The simple interest on a certain for 3 year at 10% per annum is Rs 829.50. Find the sum.







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Answer 1

AnswEr :

• Simple Interest ( SI )= Rs. 829.50
• Rate ( R ) = 10% p.a.
• Time ( T ) = 3 Years
• Principal ( P ) = ?

⋆ we will calculate principal (sum) now :

⇒ SI = ( P × R × T ) / 100

⇒ 829.50 = ( P × 10 × 3 ) / 100

⇒ 829.50 × 100 = ( P × 10 × 3 )

⇒ 82950 = 30 × P

⇒ P = 82950 / 30

⇒ P = Rs. 2765

∴ The Sum (Principal) will be Rs. 2765.

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⋆ Verification :

⇝ SI = SI = ( P × R × T ) / 100

⇝ 829.50 = ( 2765 × 10 × 3 ) / 100

⇝ 829.50 = ( 2765 × 3 ) / 10

⇝ 829.50 = 8295 / 10

⇝ 829.50 = 829.50 Hence, Verified!

Answer 2

Answer:

Step-by-step explanation:

$\underline{\bold{Given:-}}$

Simple Interest,S.I = ₹ 829.50

Time,T = 3 years

Rate of interest,R = 10%

$\underline{\bold{To \: Find:-}}$

Principal

$\underline{\bold{Formula \: to \: be \: used:-}}$

$\sf S.I=\frac{P\times R\times T}{100}$

$\underline{\bold{Solution:-}}$

Putting all the values, we get

$\sf\implies S.I=\frac{P\times R\times T}{100}$

$\sf\implies 829.50=\frac{P\times 10\times 3}{100}$

$\sf\implies 82950 = 30P$

$\sf\implies P=\frac{82950}{30}$

$\bf\implies Principal=Rs. \: 2765$

Hence, The sum is Rs 2765.