A man has donated 30% of his property as charity and then gave the rest to his wife. The wife has contributed 50% of her property as charity. If wife has contributed Tk. 21,000 what was the contribution of the man as charity?

প্রশ্নে বলা হচ্ছে যে, একজন লোক তার সম্পত্তির 30% দান করল এবং বাকি সম্পদ তার স্ত্রীকে দিল। স্ত্রী প্রাপ্ত সম্পত্তির 50% দান করে দিল। যদি স্ত্রী 21,000 টাকা দান করে থাকে তবে লোকটি কত টাকা দান করেছিল?

Let, the man has the property worth's x Tk.

He gave as charity= 30% of x = 0.3x Tk.

Remaining property worth's $= x -0.3x = 0.7x Tk.$

∴ 0.7x Tk. was given to his wife.

Now, wife gave as charity = (50% of 0.7x) = 0.35x Tk.

Now, the wife has = 0.7x-0.35x = 0.35x Tk.

According to question

0.35x=21,000

$$\begin{gathered} \therefore x = \frac{21000}{0.35} = 60,000 Tk. \\ \therefore The man contributed = 30\% of 60,000 = 18,000 Tk. ans. \end{gathered}$$