Question

when rate of interest is decreased fronm 5% to 4% then a man deposited 2000 rupees more so that he will get equal interest as he was getting before, then what is the initial deposit sum​

Answer 1

Given:

The rate of interest decreases from 5% to 4%

The man deposits Rs. 2000 more so that he gets equal interest as he was getting before

To find:

The initial sum that was deposited

Solution:

Let "P" represent the initial sum of money that was deposited by the man.

The formula to find the simple interest is,

$\boxed{\bold{S.I. = \frac{PRT}{100}}}$

Simple Interest received by the man when R = 5%:

$S.I. = \frac{P\times 5 \times 1}{100} = \frac{5P}{100}$ ...... (i)

Simple Interest received by the man when R  decreases from 5% to 4%:

The man deposits 2000 more to get the same interest

So, the sum of money becomes "(P + 2000)".

∴ $S.I. = \frac{(P\:+\:2000)\times 4 \times 1}{100} = \frac{4P \:+\: 8000}{100}$ ..... (ii)

Since the value of the simple interest in both the cases has to be equal, so, both eq. (i) & (ii) will be equal,

i.e., $\frac{5P}{100} = \frac{4P \:+\: 8000}{100}$

⇒ $5P = 4P \:+\: 8000$

⇒ $5P - 4P =\: 8000$

⇒ $\bold{P = 8000}$

Thus, the initial sum of money deposited by the man was Rs. 8000.

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Also View:

Malti has deposited certain sum in a bank at 3.5% per annum. The bank announces an increase in the interest rate by 1.5% p.a. Malti deposits an additional 3 2500 in the bank. The annual interest that Malti receives now is 3 221 more than what she would have got earlier. Find the original deposit.

https://brainly.in/question/13677155

Arun has a certain sum deposited in a bank at 5% per annum the bank increases the rate of interest from 5 % to 6% after increase in rates Arun deposits to Rs 2,000 more in his account the annual interest received by him now is 220 rupees more than before find is original deposit.

https://brainly.in/question/6776075

Answer 2

When he got at 5%= 1/20

Then Principal = 20

and sI = 1

When he got at 4%= 1/25

Then principal = 25

And sI = 1

A/Q sI of both interest are same

25-20=5

5....= 2000rs

So 20.....=2000*20/5= 8000 (first

principal of 5% interest)

Answer is rs 8000