Question

A sum amounts to 2400 at 15% simple interest per annum after 4 years. Find the sum.​

Answer 1

Answer:

Dear Student,

◆ Answer -

Sum of money = $ 1500

● Explanation -

# Given -

Payable = $ 2400

r = 15 %

t = 4 years

# Solution -

Amount payable after 4 years by simple interest is calculated by -

Payable = P (100 + r×t) / 100

2400 = P (100 + 15×4) / 100

2400 = P × (100+60)/100

2400 = P × 160/100

P = 2400 × 100 / 160

P = 15 × 100

P = $ 1500

Hence, sum of money was $ 1500.

Thanks dear. Hope this helps you...

Answer 2

Step-by-step explanation:

Let the principal be P

Given:-

amount = $2400

time = 4years

rate = 15% p.a.

SI = P X R X T

100

SI = P X 15 X 4

100

SI = 3P

5

since, A = SI + P

therefore, 2400 = 3P + P

5

2400 = 3P + 5P

5

2400 X 5 = 8P

2400 X 5 = P

8

therefore the sum (P) = rupees 1500