Question

dinesh bought 16 dozen ball pens and sold them at loss equal to s.p. of 8 ball pens. find his loss percent

Answer 1

The problem involves finding the loss percentage from the sale of ball pens, where the loss is given in terms of the selling price of a number of pens. To solve it, one must know the total quantity of pens bought and sold, as well as the cost and selling price per pen. With these values, the loss percentage would be calculated using the formula involving loss and total cost price.

Step-by-step explanation:

Dinesh bought 16 dozen ball pens and sold them at a loss equal to the selling price (S.P.) of 8 ball pens. To find his loss percent, we first need to calculate the total number of ball pens Dinesh bought and then determine what the loss in terms of ball pens means in relation to his total cost.

Steps :

1. Calculate total number of pens: Since 1 dozen is equal to 12 items, 16 dozen ball pens would be 16 x 12 = 192 ball pens.
2. Determine loss: The loss is equal to the selling price of 8 ball pens.
3. Let's assume the cost price (C.P.) of each pen is 'x' dollars. So, the total cost price for Dinesh will be 192x dollars.
4. If he sells each pen for 'y' dollars, then his total selling price (T.S.P.) is (192 - 8)y = 184y dollars.
5. Calculate total cost price and selling price: The total cost price is 192x dollars, and the loss is selling 8 pens less, so the total selling price is 184y dollars.
6. We also know that T.C.P. - T.S.P. equals the loss, which is the selling price of 8 ball pens, or 8y dollars. So, 192x - 184y = 8y.
7. To find the loss percent, we use the formula (Loss / Total cost price) x 100.
8. Here, Loss = 8y, and the total cost price is 192x.
9. So, the loss percent will be ((8y) / (192x)) x 100.

To finalize the calculation, we would need the actual cost price 'x' and selling price 'y' per pen. Without these values, we cannot calculate the exact loss percent. However, from the information given, the method to find the loss percent is outlined.