Question

at simple interest a sum becomes 49/50 of itself in 2.5 years. what is the rate of interest per annum ​

Answer 1

Answer:

At simple interest a sum becomes 49/40 of itself in 5/2 years. The rate of interest per annum is

rate of interest=9% per annum

Step-by-step explanation:

Let P be the sum and R% be the rate of interest per annum

Now, Time, T= 5/2 years, amount, A=49/40P

Simple interest=P*R*T/100

⇒A-P= P*R*T/100

⇒49/40P - P= P*R*5/100*2

⇒9P/40=PR/40

⇒R=9%

So, rate of interest=9% per annum

Answer 2

Answer:Principal = P

Amount = 49/40 of P

=> Amount = 49/40 * P

=> Amount = 49P/40

Time = 2.5 years

49P/40 = P(1 + 2.5R/100)

49/40 = (1 + 0.025R)

49 = (1 + 0.025R)40

49 = 40 + R

49 - 40 = R

R = 9

Therefore Rate of interest = (c)9%.

Step-by-step explanation:

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