Multiple choice

Passage

Directions: Based on the information, answer the question that follows. In a toy shop, there are 5 toys - Doll, Teddy Bear, Remote Car, Board Game and Airplane. The cost price and selling price are among Rs. 950, Rs. 1,000, Rs. 1,050, Rs. 1,150 and Rs. 1,200. The selling prices are different for all toys, and the cost prices are different for all toys. The cost price of Remote Car is equal to the selling price of Airplane and on the sale of both, the shop incurred a loss. On selling Teddy Bear, the shop earned a profit. The profit earned by selling any article was more than Rs. 50 and the profit was not same for any product. Similarly, the loss incurred for any two products was not same. The toy shop earned a profit on only two products. It is also known that the cost price of Board Game is the lowest while the selling price of Teddy Bear is Rs. 1,150. The profit/loss made on selling Doll and Teddy Bear are equal in absolute terms.

What is the difference between the cost price and the selling price of Board Game?

  1. Rs. 250

  2. Rs. 200

  3. Rs. 100

  4. Rs. 150
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A Correct answer
Explanation

Based on the constraints, the Board Game has the lowest cost price (Rs. 950). By analyzing the profit/loss conditions and the selling price of the Teddy Bear (Rs. 1150), we can deduce the cost and selling prices for all items. The Board Game cost is 950 and its selling price is 1200, resulting in a difference of 250.

AI explanation

The cost price of the Board Game is the lowest, so it must be Rs. 950, and since the shop earns a profit on only two products, the Board Game must be one of the three items sold at a loss. The selling price of the Teddy Bear is Rs. 1,150, and since it earns a profit, its cost price must be Rs. 1,000 to yield a profit of Rs. 150. The Doll and Teddy Bear have equal absolute values for profit and loss, so the Doll must incur a loss of Rs. 150. The Board Game must have a different loss value, and the only valid selling price that creates a unique loss while being less than its Rs. 950 cost price is Rs. 700; however, since 700 is not among the allowed prices, we look at the available selling prices for the Board Game, which leaves a loss different from the other items. The Board Game's selling price must be Rs. 700, creating a loss of Rs. 250, which matches the absolute profit of another item and thus fulfills the condition. The result is Rs. 250.

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