Multiple choice

Raj bought 6 sharpeners and 8 erasers for Rs. 56. The price of each sharpener is Re. 1 more than twice the price of each eraser. What is the cost price of three sharpeners and two erasers, respectively?

  1. Rs. 18 and Rs. 5

  2. Rs. 6 and Rs. 2.50

  3. Rs. 12 and Rs. 7.50

  4. Rs. 18 and Rs. 7.50

  5. Rs. 12 and Rs. 5
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the cost price of each eraser be Rs. x. According to the question, the cost of each sharpener will become Rs. (2x + 1). Raj bought 6 sharpeners and 8 erasers for Rs. 56.6(2x + 1) + 8x = 5612x + 6 + 8x = 5620x + 6 = 5620x = 56 – 620x = 50x = 2.5 Thus, cost of each eraser is Rs. 2.50 and the cost of each sharpener is Rs. (2x + 1) = Rs. (2 × 2.5 + 1) = Rs. 6 The cost price of three sharpeners and two erasers is Rs. 18 and Rs. 5, respectively. This answer is correct.

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