Another Profit Loss and Discount question! Please help!!?

Question

This is another profit loss and discount question that i can't understand at all. Please show ALL the steps clearly with all work shown so I can understand: Shabana bought 16 dozen ball pens and sold them at a loss equal to the S.P of 8 ball pens. Find

1. her loss per cent
2. S.P of 1 dozen ball pens, if she purchased these 16
dozen ball pens for Rs 576

Answer 1

You got me. What's Rs? What's S.P.? What's a Shabana?

Answer 2

If she bought 16 dozen ball pens and sold them for the selling price of 8 dozen ball pens, the loss is approximately 50%. If we assume that the sale price of the pen is the same as the bought price (no profit and no loss situation), the loss is exactly 50%.

She bought 16 dozen ball pens for Rs 576

Cost of each ball pen = 576 / (16 x 12) = 3 rupees

Cost of 1 dozen ball pens = 12 x 3 = 36 rupees.

She paid 576 rupees and sold them for half of it, i.e. 288 rupees. Loss percentage is = 288 x 100 / 576 = 50 per cent

Answer 3

1. her percent loss
= (16 - 8) / 16
= 8 / 16
= 0.5 or 50%

2. Selling price of 1 dozen:
= (Rs 576 / 16) * 50% * 12
= (Rs 36) * 0.5 * 12
= Rs 18 * 12
= Rs 216

Answer 4

Let selling price of 8 ball pens be x
Now, number of pens=16x12=192

=>SP of 8 ball pens=x
=>SP of 1 ball pen=x/8
=>SP of 192 ball pens=(x/8)x192 =24x

Given,Loss = SP of 8 ball pens = x

Therefore, SP of 192 ball pens=24x, loss=x

Therefore, C.P.=SP+loss=24x+x=25x

Now,loss%= loss/C.P. x 100

=(x/25x) x 100
=100/25
=4%

Now, loss %=4%
=>C.P of 16 dozen ball pens=Rs. 576
=>C.P of 1 dozen ball pens=Rs. 576/16=Rs 36

>> SP= C.P- loss................................. (1)

Now, loss=4% of Rs. 36= Rs.1.44

From equation (1) ,therefore,
SP of 1 dozen ball pens =Rs.36 - Rs.1.44= Rs. 34.56