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15 Aug 2019, 18:48
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C
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Difficulty:
35%
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Question Stats:
80% (02:55) correct
20%
(03:28)
wrong
based on 135
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A store purchased 100 balls from a wholesaler. Initially, they sold them for the unit cost price plus 30%. After selling 70 balls at this price, they reduced the selling price by $15 and sold the remaining 30 balls at this marked-down price. The total profit made after selling all 100 balls was $2,400. What was the original unit cost of each ball?
A. $85
B. $90
C. $95
D. $100
E. $105
A. $85
B. $90
C. $95
D. $100
E. $105
15 Aug 2019, 19:12
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Answer= C
Let cost price = C
100C + 2400 =70x1.3C + 30 (1.3C - 15)
100C+ 2400= 91C+ 39C-450
30C= 2850
C= 95
answer C
Posted from my mobile device
Let cost price = C
100C + 2400 =70x1.3C + 30 (1.3C - 15)
100C+ 2400= 91C+ 39C-450
30C= 2850
C= 95
answer C
Posted from my mobile device
15 Aug 2019, 22:25
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MathRevolution
Given: A store purchased 100 balls from a wholesaler. Initially, they sold them for the unit cost price plus 30%. After selling 70 balls at this price, they reduced the selling price by $15 and sold the remaining 30 balls at this marked-down price. The total profit made after selling all 100 balls was $2,400.
Asked: What was the original unit cost of each ball?
Let the original cost of each ball be x
Total costs = 100x
Initially, they sold them for the unit cost price plus 30%. After selling 70 balls at this price, they reduced the selling price by $15 and sold the remaining 30 balls at this marked-down price.
Total sales = 70 * 1.3x + (1.3x -15) * 30 = 130x - 450
Total profit = Total sales - Total costs = 130x - 450 - 100x = 30x - 450 = 2400
30x = 2850
x = 2850/30 = 95
original unit cost of each ball = 95
IMO C
