Question

Principal (P) =
5.000 ; Time (T) = 3 years; Amount (A)=6500.
Find the interest rate (R) and Simple Interest (SI).​

Answer 1

Answer :-

Given :-

• Principal = Rs. 5000
• Amount = Rs. 6500
• Time = 3 years

To Find :-

• Simple interest
• Rate of interest

Solution :-

We know that,

→ Simple interest = Amount - Principal

→ SI = 6500 - 5000

→ SI = 1500

Simple interest = Rs. 1500

Substituting the value of simple interest, time and principal in the formula of simple interest :-

→ SI = P × R × T / 100

→ 1500 = 5000 × 3 × R / 100

→ 1500 = 50 × 3 × R

→ 1500 = 150R

→ R = 1500 / 150

→ R = 10%

Rate of interest = 10%

Answer 2

Given

• Principal (P)= 5000
• Time (T)= 3 year's
• Amount (A)= 6500

To Find

• Simple Interest (SI)
• Rate (R)

____________________

Formula Used

• $\boxed{ { \mathfrak{si \: = amount - principal}}}$
• $\boxed{ \mathfrak{si = \dfrac{principal \times \: time \times rate}{100}}}$

_____________________

Solution

Here,

• Amount= 6500
• Principal= 5000

$→\sf \: SI = Amount- Principal$

$→\sf \: SI =6500 - 5000$

$~~~\sf \: SI =1500$

Now

$\\\sf \: SI = \dfrac{principal \times time \times rate}{100}$

$→\sf \: 1500= \dfrac{5000 \times 3 \times rate}{100}$

$→\sf \:rate = \dfrac{150000}{15000}$

$~~~\sf \:rate = 10\%$

• Simple Interest= Rs.1500
• Rate=10%