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 ₹14,000 he deposited in Marvel's Fund. How much money did Mr. Stark initially have?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e ₹4,00,000
Let's call the initial amount Mr. Stark had "x".
According to the problem, he gave 30% of x to Bruce, which means he kept 70% of x for himself. This can be written as:
0.7x
Then, he gave 30% of the remaining amount (0.7x) to each of Natasha, Captain, and Vision. This means each of them received:
0.3(0.7x) = 0.21x
After giving this money to Natasha, Captain, and Vision, Mr. Stark was left with:
0.7x - 3(0.21x) = 0.7x - 0.63x = 0.07x
Mr. Stark then spent half of this remaining amount on miscellaneous items, leaving him with:
0.07x / 2 = 0.035x
Finally, he deposited this remaining amount of ₹14,000 in Marvel's Fund, so we can set up the equation:
0.035x = 14,000
Solving for x, we get:
x = 400,000