Question

Mr.Joshi gave 1/3 of his money to his son, 1/5 of it to charity and the remaining to his wife who got Rs.42,000. What was the total amount ?
Pls help me with this question

Answer 1

The son gets 1/3 of 42,000, so you divide 42,000 by 3 and get the amount Mr. Joshi gave to his son. Then you do the same for charity, but instead divide 42,000 by 5. Then you add both values and subtract them from 42,000, and then you have what he gave to his wife.

x (amount wife got) = 42,000 - [(42,000/3) + (42,000/5]

x = 42,000 - [14000+8400]

x = 42,000 - 22,400

x = 19,600

Hope this helps!

Answer 2

Let x represent the total amount, then set up the equation as follows:

Son + Charity + Wife = Total

$\frac{1}{3}$x + $\frac{1}{5}$x + 42,000 = x

$\frac{8}{15}$x + 42,000 = x added like terms

42000 = $\frac{7}{15}$x subtracted $\frac{8}{15}$x from both sides

90000 = x multiplied $\frac{15}{7}$ on both sides

Answer: $90,000