Question:
A cruise operates between Mumbai and Dubai. Each ticket of the cruise costs Rs. 2,500. The cruise is operated by a private company that has to pay a fixed cost per journey and a variable cost that depends on the number of passengers on board, to the government. If 100 passengers aboard the cruise, then the company suffers a loss of Rs. 1,000 per ticket However, when 400 passengers aboard the cruise, then the company earns Rs. 500 per ticket Find the profit earned by the company, when 600 passengers aboard the cruise.
A cruise operates between Mumbai and Dubai. Each ticket of the cruise costs Rs. 2,500. The cruise is operated by a private company that has to pay a fixed cost per journey and a variable cost that depends on the number of passengers on board, to the government. If 100 passengers aboard the cruise, then the company suffers a loss of Rs. 1,000 per ticket However, when 400 passengers aboard the cruise, then the company earns Rs. 500 per ticket Find the profit earned by the company, when 600 passengers aboard the cruise.
Updated On: Aug 31, 2024
- Rs. 4, 50,000
- Rs. 6, 00,000
- Rs. 4, 00,000
- Rs. 5, 00,000
- None of these
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The Correct Option is C
Solution and Explanation
Let the fixed cost and variable cost paid by the company be Rs. 'F' and be Rs. 'V', respectively.
ATQ;
F + 100V = 2500 X 100 + 1000 X 100
Or, F + 100V = 250000 + 100000
Or, F + 100V = 350000...... (I)
Also,
F + 400V = 2500 X 400 - 500 X 400
Or, F + 400V = 1000000 – 200000
Or, F + 400V = 8, 00,000..... (II)
On subtracting equation (I) from equation (II), we have;
300V = 4, 50,000
Or, V = 1500
On, putting V = 1500 in equation (I), we have;
F + 100 X 1500 = 350000
Or, F = 2, 00,000
So, profit earned when 600 passengers aboard the cruise = 2500 X 600 -(200000 + 600 X 1500) = 1500000 - 1100000 = Rs. 4, 00,000
So, the correct option is (C): Rs. 4, 00,000.
ATQ;
F + 100V = 2500 X 100 + 1000 X 100
Or, F + 100V = 250000 + 100000
Or, F + 100V = 350000...... (I)
Also,
F + 400V = 2500 X 400 - 500 X 400
Or, F + 400V = 1000000 – 200000
Or, F + 400V = 8, 00,000..... (II)
On subtracting equation (I) from equation (II), we have;
300V = 4, 50,000
Or, V = 1500
On, putting V = 1500 in equation (I), we have;
F + 100 X 1500 = 350000
Or, F = 2, 00,000
So, profit earned when 600 passengers aboard the cruise = 2500 X 600 -(200000 + 600 X 1500) = 1500000 - 1100000 = Rs. 4, 00,000
So, the correct option is (C): Rs. 4, 00,000.
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