Multiple choice

A shopkeeper sold an article at 20\% loss. If he would sell it at Rs.50 more, then he would gain of 5\% profit. Cost price of article was

  1. Rs. 100

  2. Rs. 150

  3. Rs. 210

  4. Rs. 200

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

Let CP = x. Selling at 20% loss: SP = 0.8x. If sold for Rs.50 more: SP + 50 = 0.8x + 50 gives 5% profit, so 1.05x = 0.8x + 50. Solving: 0.25x = 50, so x = 200. The cost price is Rs.200.