Question

(9.) The simple interest on ? 2,000 in 3 years and
8 months at rate of 3% per annum will be -
(B) 500
(D) 3540
(A) 3400
(C) 220​

Answer 1

Answer:

• Option c) 220

Step-by-step explanation:

Principal Amount = Rs. 2000

Rate of Interest = 3% per annum

Time Period = 3 years and 8 months = 44 months

We know that,

→ 12 months = 1 year :: 44 months = x years

Solving this we get,

→ 12x = 44

⇒ x = 44/12 = 3.67 years

Hence the time period is 3.67 years.

Formula for calculating the Simple Interest is:

$\implies SI = \dfrac{P \times R \times T}{100}$

Substituting the values we get,

$\implies SI = \dfrac{2000 \times 3 \times 3.67}{100}\\\\\\\implies SI = Rs. \:\: 60 \times 3.67\\\\\\\implies \boxed{SI = Rs.\:\:220.20}$

Hence the Simple interest is Rs. 220 (approx.)

Hence Option c) is the correct answer.

Answer 2

Simple Interest = (Principal × Time × Rate)/100

⇒ Simple Interest = [2000 × Time × 3]/100

⇒ Simple Interest = [20 × Time × 3]/1

⇒ Simple Interest = 20 × Time × 3

⇒ Simple Interest = 20 × (3 years + 8 months) × 3

⇒ Simple Interest = 20 × (36 months + 8 months) × 3

⇒ Simple Interest = 20 × (44 months) × 3

⇒ Simple Interest = 60 × (44 months)

⇒ Simple Interest = 60 × (44/12 Years)

⇒ Simple Interest = 60 × 3.66667

⇒ Simple Interest = 220.0002

⇒ Simple Interest ≈ 220.0002