Question

Principal is 2800, Rate = 10% and the number of years = ${\sf {1 \times {\dfrac {1}{2}}}}$ years. Find the simple Interest.

Answer 1

${\huge {\underline{\bf{\color{Magenta}{Answer}}}}}$

Given :-

• Principle (P) = Rs. 2800

• Rate (R) = 10%

• Time (T) = ${\sf {1 {\dfrac {1}{2}} = {\dfrac {3}{2}}}}$ years.

To Find :-

• The Simple Interest (SI).

Solution :-

We know that,

${\boxed {\sf {SI = {\dfrac {Principal \times Rate \times Time}{100}}}}}$

Where,

• SI = Simple Interest.

Now, substitute the values in this formula,

$~~~~~$ $\rightsquigarrow{\sf {SI = {\dfrac {P \times R \times T}{100}}}}$

$~~~~~$ $\rightsquigarrow {\sf {SI = {\dfrac {28{\cancel{00}} \times 10 \times 3}{1{\cancel{00}} \times 2}}}}$

$~~~~~$ $\rightsquigarrow {\sf {SI = {\dfrac {{\cancel{{28}}^{14}} \times 10 \times 3}{{\cancel{{2}}^{1}}}}}}$

$~~~~~$ $\rightsquigarrow {\sf {SI = 14 \times 10 \times 3}}$

$~~~~~$ $\rightsquigarrow {\underline {\boxed {\sf {SI = Rs. 420}}}}$

Hence,

The simple interest is Rs. 420.

Answer 2

S.I = PRT/100

P = 2800 Rs
R = 10%
T = 1½ = 3/2 Years
Putting the values ,

S I = $\dfrac{28\cancel{00}\times 10 \times \frac{3}{2} }{1\cancel{00}}$

S.I = 14 ×10 × 3
S.I = 420 Rs.