Question

Mrs Bhavnani received a certain amount of money as bonus from her employer.
She gave one-third of this money and an additional sum of * 3000 to her son. She
also gave half of the money received and an additional sum of 10000 to her
daughter. If the son gets half as much as the daughter, find the money Mrs Bhavnani
received as bonus.​

Answer 1

Answer:

Here goes the solution!

Let the bonus received by Bhavnani be x.

The amounts received by the children will be,

Daughter = 1/2x + 10000

Son = 1/3x + 3000

As we can see, the amount received by the son is half the amount received by the daughter.

Son's share = 1/2(1/2x + 10000)

= 1/4x + 5000

Equating to son's share,

1/4x + 5000 = 1/3x + 3000

5000 - 3000 = 1/3x - 1/4x

2000 = 1/12x

Multiplying both sides by 12,

x = 12 × 2000

x = 24000

Hence, the bonus received by Mrs. Bhavnani is Rs. 24000