# 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

360.6k+ views

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.

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.

Last updated date: 23rd Sep 2023

•

Total views: 360.6k

•

Views today: 9.60k

Recently Updated Pages

What do you mean by public facilities

Paragraph on Friendship

Slogan on Noise Pollution

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

10 Slogans on Save the Tiger

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Drive an expression for the electric field due to an class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

What is the past tense of read class 10 english CBSE