Question

John got a price of $₹75000$ in a TV contest. He paid $\frac{1}{10}$ the price as the income tax. Out of the remaining, he gave to $\frac{1}{3}$his son, $\frac{1}{5}$to his daughter, $\frac{1}{10}$to the Red Cross Society, and the rest to his wife. How much does John's wife get?

Answer 1

Find the portion of the prize did John's wife get and how much

Step 1: Find the John income tax amount

John got a price of $₹75000$ in a TV contest and He paid $\frac{1}{10}$the price as the income tax

The income tax price$=\frac{1}{10}\times$$₹75000$

$=$$₹7500$

$\therefore$The income tax price$=$$₹7500$

Step 2: Find the remaining amount after the income tax deduction

Remaining amount$=\mathrm{Prize}\mathrm{amount}-\mathrm{Income}\mathrm{tax}\mathrm{price}$

$=$ $₹7500$$-₹7500$

$=$$₹67500$

$\therefore$Remaining amount $=$$₹67500$

Step 3: Find the amount is given to his wife

Out of the remaining, he gave to $\frac{1}{3}$his son, $\frac{1}{5}$to his daughter, $\frac{1}{10}$to the Red Cross Society, and the rest to his wife

The amount given to his son $=$$\frac{1}{3}\times ₹67500=₹22500$

The amount given to his daughter$=$$\frac{1}{5}\times ₹67500=₹13500$

The amount given to the Red Cross Society$=\frac{1}{10}\times ₹67500=₹6750$

Amount left his wife $=67500-\left(\frac{1}{3}\mathrm{his}\mathrm{son}+\frac{1}{5}\mathrm{to}\mathrm{his}\mathrm{daughter}+\frac{1}{10}\mathrm{to}\mathrm{the}\mathrm{Red}\mathrm{Cross}\mathrm{Society}\right)$

$$\begin{gathered} =₹67500-(₹22500+₹13500+₹6750) \\ =₹67500-₹42750 \\ =₹24750 \end{gathered}$$

$\therefore$The amount given to his wife is $₹24750$