Questions & Answers
Question
Answers
Related Questions
A shopkeeper offers a 10% off-season discount to the customer and still makes a profit of 26%. What is the cost price of a pair of shoes marked at Rs. 1120?
Answer
![Verified]()
Verified
Verified
Hint: Calculate the exact amount of discount offered by the shopkeeper first. Then find the selling price and if 26% profit is made on the selling price, find the required cost price.
Complete step-by-step answer:
According to the question, the marked price of the pair of shoes is Rs. 1120. And the shopkeeper is offering a 10% off-season discount. So, discount enjoyed by customer will be:
$ \Rightarrow $ Discount $ = 10\% {\text{ of }}1120 = \dfrac{{10}}{{100}} \times 1120 = 112.$
Thus, the selling price of the shopkeeper will be:
$ \Rightarrow $ S.P. $ = $ Marked Price $ - $ Discount $ = 1120 - 112 = 1008$.
It is given that the shopkeeper makes the profit of 26%. Let the cost price (i.e. C.P.) of the pair of shoes is Rs. $x$. Then profit will be:
$ \Rightarrow $ Profit $ = $ S.P. $ - $ C.P. $ = 1120 - x$
We know that:
$ \Rightarrow {\text{Profit(% )}} = \dfrac{{{\text{Profit}}}}{{{\text{C}}{\text{.P}}{\text{.}}}} \times 100\% $
Using above formula, we have:
$
\Rightarrow 26\% = \dfrac{{1008 - x}}{x} \times 100, \\
\Rightarrow 26x = 100800 - 100x, \\
\Rightarrow 126x = 100800, \\
\Rightarrow x = \dfrac{{100800}}{{126}}, \\
\Rightarrow x = 800 \\
$
Thus the cost price is Rs. 800.
Note: The cost price is always calculated over selling price while the discount is calculated over marked price.
Complete step-by-step answer:
According to the question, the marked price of the pair of shoes is Rs. 1120. And the shopkeeper is offering a 10% off-season discount. So, discount enjoyed by customer will be:
$ \Rightarrow $ Discount $ = 10\% {\text{ of }}1120 = \dfrac{{10}}{{100}} \times 1120 = 112.$
Thus, the selling price of the shopkeeper will be:
$ \Rightarrow $ S.P. $ = $ Marked Price $ - $ Discount $ = 1120 - 112 = 1008$.
It is given that the shopkeeper makes the profit of 26%. Let the cost price (i.e. C.P.) of the pair of shoes is Rs. $x$. Then profit will be:
$ \Rightarrow $ Profit $ = $ S.P. $ - $ C.P. $ = 1120 - x$
We know that:
$ \Rightarrow {\text{Profit(% )}} = \dfrac{{{\text{Profit}}}}{{{\text{C}}{\text{.P}}{\text{.}}}} \times 100\% $
Using above formula, we have:
$
\Rightarrow 26\% = \dfrac{{1008 - x}}{x} \times 100, \\
\Rightarrow 26x = 100800 - 100x, \\
\Rightarrow 126x = 100800, \\
\Rightarrow x = \dfrac{{100800}}{{126}}, \\
\Rightarrow x = 800 \\
$
Thus the cost price is Rs. 800.
Note: The cost price is always calculated over selling price while the discount is calculated over marked price.
×
Sorry!, This page is not available for now to bookmark.
Like this
Liked
.png)
-
LIVECourses
-
Crash Courses 2021
-
Vedantu Pro
-
Vedantu Assist
-
Class 12
-
-
JEE
-
JEE Main & Advanced 2021
-
JEE Main & Advanced 2022
-
JEE Main & Advanced 2023
-
-
NEET
-
NEET 2021
-
NEET 2022
-
NEET 2023
-
-
NDA
-
CBSE
-
Commerce
-
Class 11
-
Class 12
-
-
ICSE
-
Maharashtra Board
-
Micro Courses
-
-
Reading & Spoken English -
FREEMaster Classes
-
PREMIUM1-on-1 Classes
-
Study Material
-
NCERT Solutions
-
Previous Year Papers
-
Mock Tests
-
Sample Papers
-
Reference Book Solutions
-
ICSE Solutions
-
School Syllabus
-
Revision Notes
-
Important Questions
-
Math Formula Sheets
-
-
More
Book your FREE Online counselling session
Share your contact information
Your FREE Online counselling session has been booked!
Vedantu academic counsellor will be calling you shortly for your Online Counselling session.
DONE
Please try again later
OK
NCERT Book Solutions
Reference Book Solutions
Toll Free:
1800-120-456-456
Mobile:
+91 988-660-2456
Toll Free:
1800-120-456-456
Mobile:
+91 988-660-2456
(Mon-Sun: 9am - 11pm IST)
Questions?
Chat with us
