Question

A person invests some sum at some rate
for 2 years at simple interest and received
the total amount of Rs.24000. If he invests
same sum at same rate for 5 years at
simple interest then he received the total
amount of Rs.30000. Find the sum he
invested.​

Answer 1

Answer:

Step-by-step explanation:

Example 1: If Rs. 4000 is invested at 8% p.a. simple interest for 5 years, find the interest.

Sol: simple interest formula: 4000 × 8 × 5/100 = Rs. 1600

Example 2: If Rs 16,000 is invested at 12 percent simple annual interest, how much interest is earned after 6 months?

Sol: Since the annual interest rate is 12 %, the interest for 6 months is (16000x12x6)/12x100 = Rs. 960.

Answer 2

Answer:

Amount at the end of 1 year=Principal+Interest

Interest=

100

PRT

=

100

24000×1×10

=Rs.2400

∴Amount at the end of 1 year=24000+2400=Rs.26400

Interest for the 2 year=

100

26400×10×1

=Rs.2640

Amount at the end of 2 year=26400+2640=Rs.29040

Let he return Rs.x at the end of first year

∴29040−x=12540

⇒x=29040−12540

⇒x=Rs.15000