Question

when rate of interest by a bank is increased from 5%to 6% per annum .vikas deposit 1200 more into the account if the annual interest now received by him is 110 more than before ,hind his original deposit.​

Answer 1

Step-by-step explanation:

Let monthly instalment is Rs P

here n 1 year 12 months

n 12

M.V 7 +1), PxR

+P.n

2x12

100

12(12+1)

Px14 P.12

76455=

2x12

100

13xPx7+P.12

6455

100

91P +120OP

T6455 =

100

645500500

T645500 1291 P P=-

1291

Answer 2

Answer:

Complete step by step solution:

First of all, assume that the original deposit that Arun deposits in the bank is Rs. x.

Here, we have two cases.

In the 1st1st case, we have been given that the rate of the interest of the bank is 5%.

The rate of interest = 5% ……………………………..(1)

The principal money that Arun deposits = Rs. x ………………………………….(2)

We know that interest is paid by the bank at the end of every year.

The time of the interest = 1 year ……………………………………(3)

We know the formula, SimpleInterest=Principal × Rate × Time100SimpleInterest=Principal × Rate × Time100 …………………………………..(4)

Now, from equation (1), equation (2), equation (3), and equation (4), we get

The interest that is paid by the bank = x×5×1100=5x100x×5×1100=5x100 …………………………………..(5)

In the 2nd2nd case, we have been given that the bank increases its rate of interest from 5% to 6%, and Arun deposits Rs.2000 more in his account.

The rate of interest = 6% ……………………………..(6)

The principal money that Arun deposits = Rs. (x+2000)(x+2000) ………………………………….(7)

Since the bank pays interest at the end of every year so, the time for the interest is 1 year.

The time for the interest = 1 year ……………………………………(8)

Now, from equation (4), equation (6), equation (7), and equation (8), we get

The interest that is paid by the bank = (x+2000)×6×1100=6(x+2000)100(x+2000)×6×1100=6(x+2000)100 …………………………………..(9)

From equation (5) and equation (9), we have interest received in the first second case and the second case.

We have been given that Arun receives Rs. 220 more. It means that the interest received in the second case is Rs. 220 more than the interest received in the first case. So,

⇒Rs.5x100+Rs.220=Rs.6(x+2000)100⇒5x100+220=6(x+2000)100⇒5x+22000=6x+12000⇒22000−12000=6x−5x⇒10000=x⇒Rs.5x100+Rs.220=Rs.6(x+2000)100⇒5x100+220=6(x+2000)100⇒5x+22000=6x+12000⇒22000−12000=6x−5x⇒10000=x

Therefore, the original deposit in the bank is Rs. 10,000.

Hence, the correct option is (D).