Question

Srividya gets a certain amount of money on retirement.She deposits half the money in a bank, gives her daughter half of the remaining and an additional sum of rupees 6000. She gives her son the remaining amount which is found to be half of what she gave her daughter.What is the amount srividya received on retirement?

Answer 1

Answer:

Amount received by Srividya on retirement in rupees = 72,000

Step-by-step explanation:

Suppose

Amount received by Srividya on retirement in rupees =  x

Amount deposited by Srividya in bank = 0.5x

Amount Remaining = x - 0.5x = 0.5x

Amount given to her daughter = 0.5 (0.5x) + 6000

Amount given to her daughter = 0.25x + 6000

Amount given to Son = 0.5 (Amount Received by Daughter)

Amount given to Son = 0.5 (0.25x + 6000)

Amount given to Son = 0.125x + 3000

We can say that

Total Amount Received by Srividya = Amount in bank + Amount given to daughter + Amount Given to Son

x = 0.5x + 0.25x + 6000 + 0.125x + 3000

x = 0.875x + 90000

x - 0.875x = 9000

0.125x = 9000

$x = \frac{9000}{0.125}$

x = 72,000

So,

Amount received by Srividya on retirement in rupees = 72,000

Answer 2

Solution :

Let the amount Srividya get on

her retirement = Rs x ---( 1 )

Deposited amount in Bank = Rs (x/2)--(2)

Amount gives to her daughter

=1/2[ (x/2)] +6000

= x/4 + 6000 -----( 3 )

Amount given to son = 1/2[ (3)/2 ]

= 1/2[ (x/4+ 6000 ]

= x/8 + 3000 -----( 4 )

According to the problem given ,

( 1 ) = (2) + (3) + (4)

=> x = x/2 + (x/4 + 6000)+(x/8 + 3000)

=> x = x/2 + x/4 + x/8 + 9000

=> x - x/2 - x/4 - x/8 = 9000

=> ( 8x - 4x - 2x - x )/8 = 9000

=> x = 8 × 9000

=> x = Rs 72000

Therefore ,

Srividya get the amount on her

retirement ( x ) = Rs 72000

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