Question

In what time will rs3000 amounts to rs4080 If simple interest is calculated at 12% per annum​

Answer 1

Answer:

Given :-

• A sum of Rs 3000 amounts to Rs 4080 at 12% per annum.

To Find :-

• What is the time period.

Solution :-

First, we have to find the simple interest :

Given :

• Amount = Rs 4080
• Principal = Rs 3000

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{\pink{Simple\: Interest =\: A - P}}}$

$\implies \sf Simple\: Interest =\: Rs\: 4080 - Rs\: 3000$

$\implies \sf\bold{\purple{Simple\: Interest =\: Rs\: 1080}}$

Now, we have to find the time period :

Given :

• Simple Interest = Rs 1080
• Principal = Rs 3000
• Rate of Interest = 12%

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{\pink{T =\: \dfrac{S.I \times 100}{P \times r}}}}$

where,

• T = Time Period
• S.I = Simple Interest
• P = Principal
• r = Rate of Interest

By putting the values we get,

$\implies \sf T =\: \dfrac{1080 \times 100}{3000 \times 12}$

$\implies \sf T =\: \dfrac{\cancel{108000}}{\cancel{36000}}$

$\implies \sf\bold{\red{T =\: 3\: years}}$

$\therefore$ The time period is 3 years .