Multiple choice

Raghav is very expert in bargaining. Once he went to a fortune shop. When Raghav asked the price of toothpaste the shopkeeper told him the price by increasing 30% of the original cost . but Raghav insisted to decrease the price by 30% , so the shopkeeper sold it by decreasing the price by 30% what is the ratio of loss of shopkeeper and paid price by Raghav?

  1. $91:9$
  2. $9:91$
  3. $100:91$
  4. $91:100$
  5. None of these

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

Let original price be P. After 30% increase: 1.3P. After 30% decrease: 1.3P × 0.7 = 0.91P. Loss: P - 0.91P = 0.09P. Ratio of loss (0.09P) to paid price (0.91P) = 9:91.