Question

A sum of money lent out at simple interest amounts to 2200 rupees in one year and to 2800 rupees in four years. Find the sum of money and the rate of interest.​

Answer 1

Answer:

the sum is 2000 rupees and rate of interest is 10%

Step-by-step explanation:

with rate of interest 10% one year amount to 2000*10%=2000*0.10=200 rupees so answer is 2000+200=2200 and 4 years is=200*4=800+2000=2800 rupees so answer is sum=2000 and rate of interest=10%.

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Answer 2

Answer:

The amount of principle money is 2000 rupees and the rate of interest is 10%.

Step-by-step explanation:

Let , the principle amount of money is x rupees  and the rate of interest is y% .

then , the interest after one year is (x × y)/100 rupees .

then , xy/100 + x = 2200

⇒ 100x + xy = 220000 → ( 1 )

and , the interest after 4 years is 4xy/100 rupees.

then , x + 4xy/100 = 2800

⇒ 100x + 4xy = 280000 → ( 2 )

Calculating (2) - (1) we get ,

3xy = 60000

⇒ xy = 20000

then , (1) ⇒ 100x + xy = 220000

⇒100x + 20000 = 220000

⇒ 100x = 200000

⇒ x = 2000 rupees

∴ xy = 20000 ⇒ 2000y = 20000 ⇒ y = 10