Question

simple interest on a certain sum is 16/25 of the sum find the time (in years) if the rate percent and time are equal​

Answer 1

Answer:

8 years

Step-by-step explanation:

Formula of Simple Interest:

SI = P * T * R / 100

where,

• P = Principle or Sum
• T = Time in years
• R = Rate percent

Given:

1. Simple Interest on certain sum is 16/25 of the sum => SI = 16/25 * P
2. Rate percent and time are equal => R = T

To find:

Time in years (T)

Solution:

SI = 16/25 * P

Substituting formula of SI, we get

16/25 * P = P * T * R / 100

Substituting R = T, we get

16/25 * P = P * T * T / 100

Dividing by P on both sides, we get

16/25 = T²/100

Multiplying by 100 on both sides, we get

1600/25 = T²

=> (40/5)² = T²

=> (8)² = T²

=> T = 8

Answer 2

Answer:

LET PRINCIPLE =1

SI =16/25

R=T

$t = \frac{si \times 100}{p \times r} \\ t= \frac{16 \times 100}{25 \times 1 \times t} \\ t ^{2} = \frac{1600}{25} \\ t = \sqrt{ \frac{1600}{25} } \\ t= \frac{40}{5} = 8 \: years$