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
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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.✔✔✔
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.✔✔✔
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