Form 1 Maths_ Profit Question

[匿名]

2012-12-17 5:21 am

In a bookshop, the initial profit made by selling a calendar was $18. After 2/5 of the calendars had been sold, the bookseller reduced the price of each calendar by $10. It is given that if all the calendars were sold, the bookseller made an overall profit of $3,000

(a) Find the total number of calendars he had originally. (Answer : 250)

Please help to work out (b) below by steps (answer :6,500)

(b) If only a further 100 calendars were sold after the price reduction and the rest were discarded, and the bookseller made an overall profit per cent of 20%, find the total cost of the calendars.

回答 (1)

用戶10012

2012-12-18 12:04 am

✔ 最佳答案

(b)
Let cost of each calendar = C
So total cost = 250C
Selling price of first (2/5) x 250 calendars = 100 ( C + 18)
Selling price of next 100 calendars = 100(C + 8)
So % profit = [ 100(C + 18) + 100(C + 8) - 250C]/250C x 100% = 20%
(100C + 1800 + 100C + 800 - 250C)/250C = 20%/100% = 1/5
2600 - 50C = 50C
2600 = 100C
so C = $26
so total cost = $26 x 250 = $ 6500.

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