Question

in how many years a sum of rs. 16000 will amount to rs. 20000at 5%simple interest​

Answer 1

Answer:

5 years

Step-by-step explanation:

total interest required to amount rs 16000 to 20000 =20000-16000=4000

t=SI×100/(P×r)

t=4000×100/(16000×5)

t=400000/80000

t=40/8

t=5 years

Answer 2

Answer:

The time required for Rs. 16,000 to amount to Rs. 20,000 is 5 years.

Step-by-step explanation:

Given :

Money = Rs. 16,000

Amounts to = Rs. 20,000

At rate = 5 %

To find :

The time required

Solution :

Here :

• Principal = Rs. 16,000
• Amount = Rs. 20,000
• Rate = 5%
• Time = ??

$\bigstar \: \boxed{\sf{Amount = Principal + Simple \: Interest}}$

➙ $\sf{20000 = 16000 + SI}$

➙ $\sf{ SI = 20000 - 16000}$

➙ $\sf{ SI = 4000}$

Simple Interest = Rs. 4000

$\rule{300}{1.5}$

Let the time required be as x

$\bigstar \: \boxed{\sf{SI = \frac{Principal \times Rate \times Time}{100}}}$

➙ $\sf{4000 = \dfrac{16000 \times 5 \times x}{100}}$

➙ $\sf{4000 = \dfrac{80000x}{100}}$

➙ $\sf{80000x = 4000 \times 100}$

➙ $\sf{80000x = 400000}$

➙ $\sf{x = \dfrac{40\cancel{0000}}{8\cancel{0000}}}$

➙ $\sf{x = 5}$

Time required = 5 years

$\therefore$ The time required for Rs. 16,000 to amount to Rs. 20,000 is 5 years.