Question

In how many years the sum of rupees 800 at 5% per annum simple interest will amount to rupees 1000?​

Answer 1

Answer:

5 years

Step-by-step explanation:

Principal = 800 rupees

Rate = 5%

Time = T

SI = 1000-800= 200

SI = P*T*R/100

SI = 800*T*5/100

200= 40T

T= 200/40

T= 5

Therefore it will amount to rupees 1000 in 5 years.

Answer 2

Question :

In how many years the sum of rupees 800 at 5% per annum simple interest will amount to rupees 1000?

Answer :

$\sf\pink{Given:}$

• principal is Rs 800 .

• Rate of interest is 5% .

• Amount is Rs 1000 .

$\sf\pink{To\:find:}$

• Number of years ?

Explanation :

Here , We first need to find the SI that is the simple interest .

$\bf\purple{Simple\: Interest = Amount - Principal }$

$\bf\purple{Simple\: Interest = 1000 - 800}$

$\bf\purple{Simple\: Interest = 200}$

Therefore the simple interest is Rs 200 .

$\bf\red{N = \dfrac{SI\times 100}{R\times P}}$

$\longrightarrow\bf{\dfrac{200\times 100}{5\times 800}}$

$\longrightarrow\bf{\dfrac{200}{5\times 8}}$

$\longrightarrow\bf{\dfrac{200}{40}}$

$\longrightarrow\bf{\dfrac{20}{4}}$

$\longrightarrow\bf{5}$

• Therefore the number of years required is 5 years .