Question

In what time will ₹ 85000 amount to ₹ 157675 at 8% per annum​

Answer 1

Answer:

10.68yrs or 128.16 months

Step-by-step explanation:

P=85000

A=157675

I=157675-85000

=72675

R=8%

So,

T=I×100/P×R

=72675×100/8×85000

=10.68yrs or 128.16months

Answer 2

Answer:

Given :-

• A sum of Rs 85000 amount to Rs 157675 at 8% per annum.

To Find :-

• What is the time period.

Formula Used :-

$\clubsuit$ Amount Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{Amount =\: Principal + S.I}}}\: \: \: \bigstar$

where,

• S.I = Simple Interest

$\clubsuit$ Time Period Formula :

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

where,

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

Solution :-

First, we have to find the simple interest :

Given :

• Amount = Rs 157675
• Principal = Rs 85000

According to the question by using the formula we get,

$\implies \bf Amount =\: Principal + Simple\: Interest$

$\implies \sf 157675 =\: 85000 + Simple\: Interest$

$\implies \sf 157675 - 85000 =\: Simple\: Interest$

$\implies \sf\bold{\purple{Simple\: Interest =\: Rs\: 72675}}$

Now, we have to find the time period :

Given :

• Principal = Rs 85000
• Rate of Interest = 8% per annum
• Simple Interest = Rs 72675

According to the question by using the formula we get,

$\mapsto \bf T =\: \dfrac{S.I \times 100}{P \times r}$

$\mapsto \sf T =\: \dfrac{72675 \times 100}{85000 \times 8}$

$\mapsto \sf T =\: \dfrac{7267500}{680000}$

$\mapsto \sf T =\: 10.68$

$\mapsto \sf\bold{\red{T =\: 11\: years}}$

$\therefore$ The time period is 11 years .