Multiple choice

Passage

The question below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer.

Rashmi bought a radio and a watch from a shop such that shopkeeper sold both the items together to Rashmi for Rs.14760. The actual cost price of radio was 64% more than the actual cost price of watch. What is the cost price of radio? Statement I: After giving a discount of 12% on marked price of radio, shopkeeper sold the radio at Rs.2020 more than the marked price of watch. Statement II: Shopkeeper marked radio at 40% above its cost price and allowed a discount of Rs.1260 on its marked price. Statement III: Rashmi bought watch at Rs.3280 less than radio and shopkeeper received a profit of 14.8% on watch.

  1. All statements I, II and III together are sufficient.

  2. All statements I, II and III together are not sufficient.

  3. Both statements I and II together are sufficient.

  4. Only statement III alone is sufficient.

  5. Either statement I and III together are sufficient or statement I and II together are sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let watch cost = W. Radio cost = R = 1.64W. Total: W + 1.64W = 2.64W = 14760, so W = 5591. Using Statement I and II: Statement II gives R marked at 40% above cost with Rs.1260 discount, so 1.4R - 1260 = selling price. Combining with Statement I's information is sufficient. Statement III alone is not sufficient as it introduces a different selling condition. Statements I and II together are sufficient.

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