Question

if rupees 500 becomes rupees 700 in 2 years find the rate of interest ​

Answer 1

$\large\underline{\underline{\sf Given:}}$

• Initially Rs. = 500

• Final Rs. = 700

• No. of years (T) = 2 years

$\large\underline{\underline{\sf To\:Find:}}$

• Rate of interest (R) = ?

$\large\underline{\underline{\sf Solution:}}$

${\boxed{\sf Simple\: Interest (SI)=\frac{Principal×No.\:of\:years×Rate}{100}}}$

$\large\implies{\sf P+SI=700}$

$\large\implies{\sf P=500\:\: Time (T)=2years}$

$\large\implies{\sf 500+SI=700}$

i.e SI = 700 - 500

$\implies{\sf 200 }$

Now , on Putting value :

$\large\implies{\sf 200=\frac{500×2×R}{100}}$

$\large\implies{\sf R=\frac{20000}{500×2}}$

$\large\implies{\sf R=20}$%

$\large\underline{\underline{\sf Answer:}}$

•°• Rate of interest is 20% .

Answer 2

The correct answer is 70%.

Given: P = Rs 500

SI = Rs 700

Time = 2 years

To Find: Rate of interest.

Solution:

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

$700=\frac{500*2*R}{100}$

R = 70%

Hence, the rate of interest is 70%.

#SPJ3