Question : Mr. Stark gave 30% of the money he had to Bruce. He also gave 30% of the remaining amount to each of Natasha, Captain and Vision. Half of the remaining amount he spent on miscellaneous items, and the remaining amount of INR 14,000 he deposited in Marvel's Fund. How much money did Mr. Stark initially have?
Option 1: INR 3,90,000
Option 2: INR 4,00,000
Option 3: INR 3,70,000
Option 4: INR 3,00,000
Correct Answer: INR 4,00,000
Solution :
Let the total money be $x$
He gave 30% to Bruce = $0.30x$
Remaining amount = $x - 0.30x = 0.70x$
He gave 30% of the remaining money to Natasha
$=3 \times (30\%$ of $0.70x) = 3 \times 0.21x = 0.63x$
The remaining amount $=0.70x - 0.63x = 0.07x$
He spent half of the remaining money on miscellaneous items $=50\%$ of $0.07x = 0.035x$
The remaining amount deposited to Marvel fund = INR 14000
⇒ $0.07x - 0.035x = 14000$
⇒ $0.035x = 14000$
⇒ $x = \frac{14000}{0.035} = 4,00,000$
Hence, the correct answer is INR 4,00,000.
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