Multiple choice

Edward bought 10 pens for a rupee and sold 8 pens for a rupee. Find the ratio of profit to the cost price.

  1. 3 : 4

  2. 1 : 8

  3. 1 : 4

  4. 4 : 5

  5. 1 : 5

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost price of 10 pens is 1 rupee, so CP of 1 pen is 1/10. Selling price of 8 pens is 1 rupee, so SP of 1 pen is 1/8. Profit per pen is 1/8 - 1/10 = 1/40, and the ratio of profit to cost price is (1/40) / (1/10) = 1/4.

AI explanation

The cost price of one pen is 1 divided by 10, which is Re. 0.10, and the selling price of one pen is 1 divided by 8, which is Re. 0.125. The profit per pen is 0.125 minus 0.10, resulting in Re. 0.025. The ratio of this profit to the cost price is 0.025 divided by 0.10, which simplifies to 1 : 4.