Question

a sum amount to Rs 3584 in 219days at 4 percent annum simple interest . the sum is?

Answer 1

A sum amount to Rs 3584 in 219 days

⇒ The amount he got at the end, including interest.

Find the interest rate earned for 219 days:

1 year = 4%

1 day = 4 ÷ 365 = 4/365

219 days = 4/365 x 219 = 2.4%

Find the original amount:

Total sum = 100 + 2.4 = 102.4%

102.4% = 3584

1% = 3584 ÷ 102.4 = Rs 35

100% = 35 x 100 = Rs 3500

Answer: The original sum is Rs 3500

Answer 2

Given:

Amount = 3584 Rupees

Days = 219 days

Interest = 4 %

To find:

The sum.

Solution:

To the interest earned,

If 4 % percent interest for 1 year,

Then,

1 day = 4 / 365

Therefore,

219 days = 4/365 * 219

For 219 days, The interest = 2.4%

Total interest = 100 + 2.4

102.4 % = 3584

3584 ÷ 102.4

100% = 35 * 100

Hence, the original sum = 3500 Rupees