a businessman bought some items for himself he sold the remaining items at profit of RS 5 per item. From the amount resived in his deal he could buy 15more items. Find the original price of each item.
Answers
Answer:
Step-by-step explanation:
Let the number of items bought be x.
Total cost of x item is Rs 7500.
(i) Then, price of each items
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
Both (i) and (ii) represents the cost of each item, then the two must be equal.
According to problem,
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
Answer: Rs 125
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