Question

Mr. Jones gave 40% percent of the money he had, to his wife. He also gave 20% of the remaining amount to each of his three sons. Half of the amount now left was spent on miscellaneous items and the remaining amount of Rs. 12,000 was deposited in the bank. How much money did Mr. Jones have initially?

• A. Rs. 1,00,000
• B. Rs. 1,10,000
• C. Rs. 1,15,000
• D. Rs. 1,20,000

Answer 1

The correct option is A Rs. 1,00,000

Let the initial amount with Mr.jones be Rs.x then,
Money given to wife$=Rs.\left(40/100\right)\times x=Rs.\frac{2x}{5}$
Balance$=Rs(x-\frac{2x}{5})=Rs.\frac{3x}{5}$
Money given to 3 sons $=Rs(3\times (\frac{20}{200}\times \frac{3x}{5}))=Rs.\frac{9x}{5}$
Balance $\Rightarrow Rs(\left(\frac{3x}{5}\right)-\left(\frac{9x}{25}\right))=Rs\frac{6x}{25}$
Amount deposited in bank$=Rs(\frac{1}{2}\times \frac{6x}{25})=Rs.\frac{3x}{25}$
$\therefore \frac{3x}{25}=12000$
$x=\frac{(12000\times 25)}{3}=100000$
So Mr.Jones initially had Rs.1,00,000 with him.