Question

a person deposited a total
of
Rs. 9500 is two different
banks which gives 5% & 7.5% interest
If the
amounts
repayable by the two banks after
7years are
equal ,then
find the individual
amount deposited in
each bank.

​

Answer 1

Answer:

5039 and 4461

Step-by-step explanation:

Let the amount deposited in 1st bank be ' x '

Then the amount deposited in 2nd bank will be 9500 - x

NOTE :

SI = ( PTR ) / 100

A = P + SI

.°. A = P + ( PTR )/100

Solution

As both the amount are same after 7 years

A1 = A2

P + ( PTR )/100 = P + ( PTR )/100

x + ( x*7*5) /100 = (9500-x) +[ (9500-x)*7*7.5] /100

x + 35x/100 = (9500-x) + [ (9500-x)*52.5]/100

x + 0.35x = (9500-x) + (9500-x)0.525

1.35x = 9500-x + 4987.5 - 0.525x

1.35x = 14487.5 - 1.525x

1.35x + 1.525x = 14487.5

2.875x = 14487.5

x = 14487.5/2.875

x =5039

Hence individual amount deposited in each bank = 5039 and 4461 (9500-5039)