Question
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Alfred buys an old scooter for Rs.4700 and spends Rs.800 on its repairs. If he sells the scooter for Rs.5800, his gain percent is
$
  A.{\text{ }}4\dfrac{4}{7}\% \\
  B.{\text{ }}5\dfrac{5}{{11}}\% \\
  C.{\text{ }}10\% \\
  D.{\text{ }}12\% \\
 $

Answer Verified Verified
Hint: Here we go through by first calculating the total cost price by adding the repairing charges to the cost of the scooter then find the value of gain by selling price – cost price. And then find the gain percentage.

Complete step-by-step answer:
Here in the question the cost of the scooter is Rs.4700
The cost for the repairing of the scooter is Rs.800.
Therefore the total cost price is sum of the cost of scooter and the cost for repairing the scooter i.e.
Cost price (C.P) = Rs. (4700+800) =Rs.5500.
And in the question the selling price is given as Rs.5800
Selling price (S.P) =Rs.5800
We know that the gain is equal to the subtraction of cost price from selling price.
I.e. gain= (S.P)-(C.P) =Rs (5800-5500) =Rs.300.
For finding the gain% we just divide the gain by the total cost price and then multiply it by 100 as we know this method from the chapter percentage.
Gain% $ = \dfrac{{300}}{{5500}} \times 100 = \dfrac{{60}}{{11}}\% = 5\dfrac{5}{{11}}\% $
Hence option B is the correct answer.

Note: Whenever we face such a type of question the key concept for solving the question is. Always start with finding the total cost price by adding all the amounts that were spent on the object before selling it. Then subtract it from the selling price to calculate the gain. And for finding the percentage simply divide the gain by cost price and multiply it by 100. By this you will get the answer.
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