Question

The simple interest accrued in 5/2 years on a principal of Rs. 18,000 is 3/20 th of the principal. What is th
rate of simple interest (per annum)?
(1) 6%
(2) 4%
(3) 5 42%
(4) 7 %2% (5) 8%​

Answer 1

The Required Rate = 6%

Step-by-step explanation:

Since, we know that :

simple interest (SI) = $\frac{principal\times rate \times Time}{100}$

here, we are given as;

• principal amount = 18000, Time = $\frac{5}{2}$ years

• SI = $\frac{3}{20} \times principal$

Now, we put the data in above formula.

• $\frac{3}{20} \times 18000 = \frac{18000\times rate \times \frac{5}{2}}{100}$

• $3 \times 10 = rate \times 5$

• rate = 6%

Answer 2

Rate of simple interest (per annum) is 6%

Step-by-step explanation:

Time = $\frac{5}{2}$ years

Principal = Rs. 18,000

The simple interest accrued in 5/2 years on a principal of Rs. 18,000 is 3/20 th of the principal.

Simple interest = $\frac{3}{20} \times 18000=2700$

Formula : $SI=\frac{P \times T \times R}{100}$

SI = Simple interest

T = time

R = Rate of interest

P  Principal

Substitute the values in the formula :

$2700=\frac{18000 \times R \times 5}{200}$

$\frac{2700 \times 200}{18000 \times 5}=R$

$6\% = R$

Hence Rate of simple interest (per annum) is 6%

#Learn more :

The simple interest accrued in 5 years on a principal of rs. 24000 is one-tenth the principal. What is the rate of interest?

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