Multiple choice

The Cost Price of watch B is 20% more than that of watch A, watches A and B were marked up by 50% and 40% respectively. Watch A was sold at a discount of 20% and watch B was sold at discount of 30%. If the SP of watch A was Rs 30 more than the SP of watch B, then what was the CP of watch B?

  1. 1200

  2. 1750

  3. 1000

  4. 1250

  5. None of these

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

Let CP of A = x. Then CP of B = 1.2x. Marked price of A = 1.5x, sold at 20% discount, so SP of A = 1.5x × 0.8 = 1.2x. Marked price of B = 1.2x × 1.4 = 1.68x, sold at 30% discount, so SP of B = 1.68x × 0.7 = 1.176x. Given SP of A is Rs 30 more than SP of B: 1.2x = 1.176x + 30, so 0.024x = 30, x = 1250. CP of B = 1.2x = 1.2 × 1250 = Rs 1500. Since 1500 is not among the options, the answer is 'None of these'.