Question : A man donates 30% of his wealth to charity, 30% and 25% of the remaining wealth to his wife and son, respectively. The rest he divides equally between his three daughters. One of his daughters gets Rs. 42 lakh as her share. What was the man's wealth (in Rs. Lakhs)?
Option 1: 280
Option 2: 400
Option 3: 500
Option 4: 350
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Correct Answer: 400
Solution :
Let man's total wealth be 100 units.
After donating 30% to charity, the remaining wealth = 70 units
After donating 30% to his wife and 25% to his son, the remaining wealth = 45% of 70 = 31.5 units
The remaining amount is divided into three daughters,
So, the share of each daughter = $\frac{31.5}{3}$ = 10.5 units
Here, 10.5 units = 42 lakhs
$\therefore$ 100 units = $\frac{4200000}{10.5}×100$ = 4,00,00,000 = 400 lakhs
Hence, the correct answer is 400.
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