CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

By selling an item for ₹75, the shopkeeper earns the percent profit equal to cost price of the item. The cost price of the item is .

A
₹40
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
₹50
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
₹30
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B ₹50
Let the cost price = x
Profit on the item (S.P - C.P) = 75x

Profit % = S.PC.PC.P×100

=75xx×100

Given that the profit percentage is equal to the cost price.

75xx×100=x
x2=7500100x
x27500+100x=0
x2+150x50x7500=0
x (x+150)50 (x+150)=0
(x+150) (x50)=0
x=150 or 50

Cost price of an item cannot be negative. So, the cost price is ₹50.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving QE by Factorisation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon