Answer
427.5k+ views
Hint: Assume get of each scooter is \[x\], \[y\] apply the formula of profit \[\% \] and loss \[\% \] we need to get \[x + y\] value then again apply the formula of profit \[\% \] if it is negative then it’s loss otherwise profit.
Complete step-by-step answer:
When we are solving this type of questions, we need to follow the steps
provided in the hint part above.
Let cost price of one scooter is \[x\] then \[profit\% = 15\% \]
At we know that \[profit\% = \dfrac{{S.P - C.P}}{{C.P}} \times 100\]
CP = Cost price
SP = Selling price
\[\begin{array}{l}
\Rightarrow 15\% = \dfrac{{36000 - x}}{x} \times 100\\
\Rightarrow \dfrac{{15}}{{100}} = \dfrac{{36000}}{x} - 1\\
\Rightarrow \dfrac{{36000}}{x} = \dfrac{{15}}{{100}} + 1\\
\Rightarrow \dfrac{{36000}}{x} = \dfrac{{115}}{{100}}\\
\Rightarrow x = \dfrac{{3600000}}{{115}}......(1)
\end{array}\]
Now cost price of another scooter is \[y\] apply
\[\begin{array}{l}
loss\% = 15\% \\
loss\% = \dfrac{{C.P - S.P}}{{C.P}} \times 100\\
\Rightarrow 15 = \dfrac{{y - 36000}}{y} \times 100\\
\Rightarrow \dfrac{{15}}{{100}} = 1 - \dfrac{{36000}}{y}\\
\Rightarrow \dfrac{{36000}}{y} = 1 - \dfrac{{15}}{{100}}\\
\Rightarrow \dfrac{{36000}}{y} = \dfrac{{85}}{{100}}\\
\Rightarrow y = \dfrac{{3600000}}{{85}}...(2)
\end{array}\]
Now,
\[\begin{array}{l}
x + y = \dfrac{{3600000}}{{115}} + \dfrac{{3600000}}{{85}}\\
x + y = 3600000\left[ {\dfrac{1}{{115}} + \dfrac{1}{{85}}} \right]\\
x + y = 3600000\left[ {\dfrac{{85 + 115}}{{115 \times 85}}} \right]\\
x + y = 368.286 \times [200] = 73657.28
\end{array}\]
Now,
\[\begin{array}{l}
\dfrac{{SP - CP}}{{CP}} \times 100 = ?\\
SP = 2 \times 36000 = 72000
\end{array}\]
Now,
\[\begin{array}{l}
\Rightarrow \dfrac{{72000 - 73757.28}}{{73757.28}} \times 100\\
\Rightarrow - 2.25\%
\end{array}\]
Negative means its loss. So, loss of \[2.25\% \].
Hence, option (A) is correct.
So, the correct answer is “Option A”.
Note: In this kind of problems we have to deal with the numerous things and some of them are referenced here which will be truly useful to comprehend the concept:
We have to utilize right formula so as to not turn out to be excessively complex solution:
At the end we need to modify that negative sign means the total selling price will be \[2 \times 36000 = 72000\] not the \[36000\] as there are two scooters.
Complete step-by-step answer:
When we are solving this type of questions, we need to follow the steps
provided in the hint part above.
Let cost price of one scooter is \[x\] then \[profit\% = 15\% \]
At we know that \[profit\% = \dfrac{{S.P - C.P}}{{C.P}} \times 100\]
CP = Cost price
SP = Selling price
\[\begin{array}{l}
\Rightarrow 15\% = \dfrac{{36000 - x}}{x} \times 100\\
\Rightarrow \dfrac{{15}}{{100}} = \dfrac{{36000}}{x} - 1\\
\Rightarrow \dfrac{{36000}}{x} = \dfrac{{15}}{{100}} + 1\\
\Rightarrow \dfrac{{36000}}{x} = \dfrac{{115}}{{100}}\\
\Rightarrow x = \dfrac{{3600000}}{{115}}......(1)
\end{array}\]
Now cost price of another scooter is \[y\] apply
\[\begin{array}{l}
loss\% = 15\% \\
loss\% = \dfrac{{C.P - S.P}}{{C.P}} \times 100\\
\Rightarrow 15 = \dfrac{{y - 36000}}{y} \times 100\\
\Rightarrow \dfrac{{15}}{{100}} = 1 - \dfrac{{36000}}{y}\\
\Rightarrow \dfrac{{36000}}{y} = 1 - \dfrac{{15}}{{100}}\\
\Rightarrow \dfrac{{36000}}{y} = \dfrac{{85}}{{100}}\\
\Rightarrow y = \dfrac{{3600000}}{{85}}...(2)
\end{array}\]
Now,
\[\begin{array}{l}
x + y = \dfrac{{3600000}}{{115}} + \dfrac{{3600000}}{{85}}\\
x + y = 3600000\left[ {\dfrac{1}{{115}} + \dfrac{1}{{85}}} \right]\\
x + y = 3600000\left[ {\dfrac{{85 + 115}}{{115 \times 85}}} \right]\\
x + y = 368.286 \times [200] = 73657.28
\end{array}\]
Now,
\[\begin{array}{l}
\dfrac{{SP - CP}}{{CP}} \times 100 = ?\\
SP = 2 \times 36000 = 72000
\end{array}\]
Now,
\[\begin{array}{l}
\Rightarrow \dfrac{{72000 - 73757.28}}{{73757.28}} \times 100\\
\Rightarrow - 2.25\%
\end{array}\]
Negative means its loss. So, loss of \[2.25\% \].
Hence, option (A) is correct.
So, the correct answer is “Option A”.
Note: In this kind of problems we have to deal with the numerous things and some of them are referenced here which will be truly useful to comprehend the concept:
We have to utilize right formula so as to not turn out to be excessively complex solution:
At the end we need to modify that negative sign means the total selling price will be \[2 \times 36000 = 72000\] not the \[36000\] as there are two scooters.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)