In a concert in school amount gathered by selling the tickets was Rs 60000 when all were of equal va...........

Quantitative Aptitude ( CCS) Data Sufficiency

In a concert in school, amount gathered by selling the tickets was Rs 60000 when all were of equal value. Each student got 1 ticket. What was the cost of 1 such ticket?

Statement I: If the price of each ticket had been Rs 50 less, the total amount gathered would have been 15000 less.

Statement II: If the price of each ticket had been Rs 50 more, the total amount gathered would have increased by 25%.

If the data in statement I alone is sufficient to answer the question.

If the data in statement II alone is sufficient to answer the question.

If the data either in statement I alone or statement II alone are sufficient to answer the question.

If the data given in both I and II together are not sufficient to answer the question.

If the data in both the statements I and II together are necessary to answer the question.

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Explanation:

Let cost of 1 ticket = Rs x. So total students who got tickets is 60000/x
From statement I,
(x – 50) × 60000/x = 60000 – 15000
Solving we get cost of 1 ticket, x = Rs 200
Similarly from statement II,
(x + 50) × 60000/x = (125/100) × 60000
Solving we get cost of 1 ticket, x = Rs 200

Hence, option 3 is the correct answer.