Question

Hello! In what time will ₹6000 amount to ₹6360 at 8% per annum simple interest?
(a) 9 months (b) 8 months (c) 1 1/4 years (d) 1 1/2 years

Answer 1

Given:

Principle = ₹6000

Amount = ₹6360

Simple Interest:

$\implies$ ₹6360 - ₹6000

$\implies$ ₹360

Rate = 8%

We know that:

$\boxed{\sf{SI = \frac{PRT}{100}}}$

Substituting the values we get:

$\implies$ $\sf{SI = \frac{PRT}{100}}$

$\implies$ $\sf{360 = \frac{6000 \times 8 \times T}{100} }$

$\implies$ $\sf{T = \frac{360 \times 100}{6000 \times 8}}$

$\implies$ $\sf{T = \frac{36000}{48000}}$

$\implies$ $\sf{T = \frac{3}{4}}$

Therefore: Time = 9 months

Correct option: (a) 9 months

Answer 2

Interest = ₹(6360-6000)

             = ₹360

Time(t)=S.I.*100/p*r

          =(360*100)/(6000*8)

          =(360/60*8)

          =(6/8)

          =(3/4)

         =(3*12/4)

        =(3*3)

        = 9 months.