Question
Arjun began participating in a Casino game. In the first
round, he tripled the amount of money he had and then gave Rs. 'b' to Bhuvan. In the second round, he doubled the remaining amount and gave Rs. 3b to Bhuvan. In the third round, he quadrupled the remaining amount and then gave Rs. 2b to Bhuvan, leaving him with Rs. 40 at the end. If the total amount he gave to Bhuvan was Rs. 480, what was the initial amount of money Arjun had?Solution
ATQ,
Money given to Bhuvan = b + 3b + 2b = 480 6b = 480 b = 80 Rs. After 3rd round he had = 40 + 2 × 80 = 200 Rs. Before 3rd round he had = 200/4 = 50 Rs. After 2nd round he had = 50 + 3 × 80 = 290 Rs. Before 2nd round he had = 290/2 = 145 Rs. After 1st round he had = 145 + 80 = 225 Rs. Before 1st round he had = 225/3 = 75 Rs
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