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Difficulty:
45%
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74% (02:51) correct
26%
(02:25)
wrong
based on 23
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The amount charged by a logistics company consists of two costs, the fixed cost and the variable cost. The fixed cost is charged monthly and is the same for each month. The variable cost is directly proportional to the weight of the goods shipped. A merchant uses the company to ship 10 kg of goods in one month and 20 kg of goods in another month. Had he shipped all the goods in the same month, he would have saved 20% of his money. Find the ratio of fixed cost and the variable cost for 15 kg of goods all shipped in the same month.
A. 1:2
B. 2:3
C. 3:4
D. 4:5
E. 5:6
(adapted from gmatfree)
A. 1:2
B. 2:3
C. 3:4
D. 4:5
E. 5:6
(adapted from gmatfree)
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07 Aug 2022, 11:35
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Let fixed cost=100 and Variable cost/kg=v
Case 1:
Month 1 cost= 100+10v
Month 2 cost= 100+20v
Total cost= 200 +30v
Case 2: All goods sent together in a single month
Total cost = 100+30v
So, \(100+30v= \frac{80}{100}(200+30v)\)
Solving, v=10
So \(\frac{Fixed cost}{Variable cost(for 15 kg)}= \frac{100}{150}\)
=2:3
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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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