A boy buys 9 oranges for rs 16 and sells them at 11 for rs 20. what does he gain or lose per cent?

Answer

Verified

Hint: Percentage gain means to express the profit or the gain in the form of percentages. This way makes it easier and faster for a person to understand the variables or the vitals of a business transaction.\[Gain{\text{ }}\% {\text{ }} = {\text{ }}\left( {\dfrac{{Gain{\text{ }}}}{{\operatorname{Cos} t\Pr ice}}} \right){\text{ }}*{\text{ }}100\]

Complete step-by-step answer:

To tackle this problem first we calculate the cost price and selling price of one orange. The difference in cost and selling price of one orange in the gain. We can see that the fruit vendor has sold the oranges at a better price, so this is his gain. To work out the increase as a percentage it is now necessary to divide the increase by the original price of the orange i.e the cost price.We will first find the cost price of 1 orange:No of oranges bought by the fruit vendor = 5Total cost price of oranges = Rs. 40Cost Price for single orange = $\dfrac{{Total\cos t\;price}}{{No\;of\;oranges}} = \dfrac{{40}}{5} = Rs.8$Now we will find the selling price of 1 orange:Selling Price of oranges sold by the fruit vendor = Rs. 9Gain = Selling Price – Cost Price = 9 – 8 = Rs. 1Now we will find the gain percentage:For finding the gain percentage, we will use the formula of Gain % as mentioned in the hint.\[ Gain{\text{ }}\% {\text{ }} = {\text{ }}\left( {\dfrac{{Gain{\text{ }}}}{{\operatorname{Cos} t\Pr ice}}} \right){\text{ }}{\rm X}{\text{ }}100 \\ \Rightarrow Gain{\text{ }}\% {\text{ }} = \left( {\dfrac{1}{8}} \right){\rm X}100 \\ \Rightarrow Gain{\text{ }}\% {\text{ }} = 12.5\% \\ \]

The gain earned by the fruit vendor in selling the oranges is 12.5%

Note: Profit percentage and loss percentage are always calculated on cost price unless otherwise stated. While the percentage increase is important in mathematics, it is also useful in science, such as calculating percent increase in mass of a chemical element in a compound.

6 oranges at Rs.6

Total CP of 6 oranges = Rs. 10

10 oranges at 20

CP of 10 oranges = Rs. 20

CP of total oranges = 10 + 20 = Rs. 30

CP of each orange

= Rs. 1.875

SP of one dozen orange = 21.60

SP of one orange

= 1.8

So total amount of 16 orange = 16 × 18

= Rs. 28.8

So CP is greater than SP so it must be loss

So, loss = Rs. 1.2

= 4%

50% students answered this correctly

In this video, the basic concepts of Rtion and Proportion are discussed. The content in this video is helpful to solve the Ratio and Proportion related problems.

If the sum of the digits of a number is a number that you find in the 3 times table, then the number is divisible by 3. Learn more in this video.

Why is it that if the unit's digit or rightmost digit of a number is 0, then it is divisible by 10; otherwise, not? This video teaches you this in an easy an...

In this video, the basic concepts are discussed about variation. The content in this video is helpful to understand variation and its applications.

This concept is very important in the area of data interpretation, where ratio change and ratio comparisons are very popular question types.

The concept of ratio, proportion and variation is an important one for aptitude examinations. Questions based on this chapter have been regularly asked in th...