Srividya gets a certain amount of …

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Srividya gets a certain amount of money on retirement.she deposists 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 recieved on retirement

Posted by Anitha Mattapally 5 years, 11 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 5 years, 11 months ago

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

{tex}x = \frac{9000}{0.125}{/tex}

x = 72,000

So,

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

1Thank You

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CBSE > Class 08 > Mathematics