the cost price of a box and pen is rs80.the box is sold at 10% profit and the pen is sold at 10% loss.if the sp of the box is 28rs more than that of the pen ,calculate the profit or loss percent in the whole
Answers
Answer:
2.5% Profit
Step-by-step explanation:
the cost price of a box and pen is rs80.the box is sold at 10% profit and the pen is sold at 10% loss.if the sp of the box is 28rs more than that of the pen ,calculate the profit or loss percent in the whole
Let say cost Price of Box = Rs B
Then Cost Price of Pen = Rs 80 - B
Box is sold at 10% Profit so
Box Selling Price = Box Cost Price + Profit
=> Box Selling Price = B + (10/100)B = Rs 1.1B
Pen is sold at 10 % Loss
Pen Selling Price = (80-B) - (10/100)(80-B) = Rs 72 - 0.9B
SP of Box = 28 + SP of Pen
=> 1.1B = 28 + 72 - 0.9B
=> 2B = 100
=> B = 50
Total Selling Price = 1.1B + 72 - 0.9B = 72 + 0.2B
= 72 + 0.2*50
= 72 + 10
= 82
Total SP = Rs 82
Total CP = Rs 80
Profit = 82 - 80 = Rs 2
Profit % = (2/80)*100 = 2.5%
2.5% Profit
Answer:
2.5% profit
Step-by-step explanation:
Let the cost price of box be x
let the cost price of pen be 80-x
Now for profit of box
s.p =c.p-c.p of p%
s.p = x-x *10/100
s.p= 1.1x
Now for loss of pen
s.p = c.p-c.p of loss%
s.p = (80-x)-10/100 of (80-x)
s.p = 72-0.9x
Now
s.p of box= 28+s.p of pen
1.1x = 28+72-0.9x
20x =100
x =50
total s.p = 1.1x+72-0.9x
By putting the value of x
total s.p = 72+0.2*50
=82
s.p = 82
c.p=80
profit =s.p-c.p
=82-80
=2
Now
p% =p/c.p*100%
=2/80*100
=2.5 profit