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A fruit seller has only mangoes, oranges and apples in the ratio 3:7:1

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A fruit seller has only mangoes, oranges and apples in the ratio 3:7:1  [#permalink]

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New post 21 Aug 2019, 04:24
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Question Stats:

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A fruit seller has only mangoes, oranges and apples in the ratio 3:7:10. The number of oranges is more than the number of mangoes by a number that is a multiple of both 5 and 8. What is the minimum number of fruits in his shop?

A. 20
B. 100
C. 200
D. 300
E. 400
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Re: A fruit seller has only mangoes, oranges and apples in the ratio 3:7:1  [#permalink]

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New post 21 Aug 2019, 04:29
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Dillesh4096 wrote:
A fruit seller has only mangoes, oranges and apples in the ratio 3:7:10. The number of oranges is more than the number of mangoes by a number that is a multiple of both 5 and 8. What is the minimum number of fruits in his shop?

A. 20
B. 100
C. 200
D. 300
E. 400


Given: A fruit seller has only mangoes, oranges and apples in the ratio 3:7:10. The number of oranges is more than the number of mangoes by a number that is a multiple of both 5 and 8.

Asked: What is the minimum number of fruits in his shop?

Let number of mangoes, oranges and apples be m, o and a respectively

m: o : a = 3: 7 : 10
o = m + 5*8 = m + 40 for minimum number of fruits 40 is minimum
o = 7/3 m = m + 40
4/3m = 40 => m = 30
o = 70
a = 100

Total number of fruits in his shop = 30 + 70 + 100 = 200

IMO C
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Re: A fruit seller has only mangoes, oranges and apples in the ratio 3:7:1   [#permalink] 21 Aug 2019, 04:29
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