Multiple choice

Directions: In this problem, a question is given followed by three statements numbered I, II and III. Read the statements carefully and decide which of them is/are sufficient/required to answer the question. How much profit did Reena earn on the cost price of a book by selling it? I. She had received a 20% discount on the marked price at the time of purchase. II. She sold it for Rs. 3090. III. She earned a 4% profit on the marked price.

  1. Only I and II

  2. Only II

  3. Only I and III

  4. All I, II and III

  5. Only II and III
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find profit on cost price, we need CP and SP. Statement I gives discount on MP (CP = 0.8 MP). Statement III gives profit on MP (SP = 1.04 MP). Statement II gives SP = 3090. With all three, we can find MP, then CP, then profit.

AI explanation

Let the marked price be Rs. 100. From statement I, the cost price for Reena is Rs. 80. From statement III, the selling price is Rs. 104, which gives a profit of Rs. 24. From statement II, the actual selling price is Rs. 3090, so the marked price is (3090 / 104) * 100 = Rs. 2975 and the actual cost price is 80% of 2975 = Rs. 2380. Therefore, all three statements are required to find the exact numerical profit. The result is all I, II and III.

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