Question

A businessman bought some items for rs 7500 . he kept 5 items for himself and sold the remaining items at a profit os rs 25 per item. from the amount received he could buy 6 more items. find the original price of each item

Answer 1

Heyy mate ❤✌✌❤

Let the number of items bought be x.
Total cost of x item is Rs 7500.

(i) Then, price of each items  = 7500/x

Number of items sold after keeping 5 for himself = x-5

Profit per item = Rs 25
Then, total profit =  (Profit per item) × (Total number of items sold) =25(x-5)

With the profit amount he could buy 6 more items than the number of items he bought previously.

Therefore, from the total profit amount, he could buy (6+5)=11 items, because he sold only (x-5) items.

Then, total cost of 11 items = total profit =25(x-5)

(ii) Then, price of each items = 25( x - 25)/11

Both (i) and (ii) represents the cost of each item, then the two must be equal. 


REFER TO THE ATTACHMENT...

The number items cannot be negative, so we reject x=-55.

Therefore, the number of items bought=x=60.

Total cost of 60 items is Rs7500.
Cost of each item = 7500/60

=> 125.✔✔✔