Profit and Loss Questions Answers

• 29. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25% then determine the value of x.

  1. 14
  2. 15
  3. 16
  4. 17

  Answer :

  Option C

  Explanation:

  Let the cost price 1 article = Re 1
  Cost price of x articles = x
  S.P of x articles = 20
  
  Gain = 20 -x
  
  \begin{aligned}
  => 25 = \left( \frac{20-x}{x} * 100 \right) \\
  => 2000 - 100x = 25 x \\
  => x = 16
  \end{aligned}
  

• 30. A material is purchased for Rs. 600. If one fourth of the material is sold at a loss of 20% and the remaining at a gain of 10%, Find out the overall gain or loss percentage

  1. \begin{aligned} 4\frac{1}{2} \end{aligned}
  2. \begin{aligned} 3\frac{1}{2} \end{aligned}
  3. \begin{aligned} 2\frac{1}{2} \end{aligned}
  4. \begin{aligned} 1\frac{1}{2} \end{aligned}

  Answer :

  Option C

  Explanation:

  We need to get the Total selling price to solve this question. Because after getting selling price we can get profit or loss, then we can calculate profit% or loss%
  
  So lets solve this:
  
  Price Received by selling one fourth of the material at a loss of 20% =
  (1/4) * 600 * (80/100) = Rs. 120
  
  Price Received by remaining material at a gain of 10% =
  (3/4) * 600 * (110/100) = Rs. 495 [Note: 1-(1/4) = 3/4]
  
  Total Selling Price = 120 + 465 = Rs. 615
  
  Profit = 615 - 600 = 15
  
  \begin{aligned}
  Profit\% = \left( \frac{Gain}{Cost} * 100 \right)\% \\
  = \left( \frac{15}{600} * 100 \right)\% \\
  = \frac{5}{2}\% = 2\frac{1}{2}\%
  \end{aligned}