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In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg

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In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg  [#permalink]

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New post 30 Sep 2018, 04:45
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In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?

A. 3:2
B. 3:4
C. 3:5
D. 4:5
E. 5:9
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Re: In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg  [#permalink]

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New post 30 Sep 2018, 05:17
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shard87 wrote:
In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
A. 3 : 2
B. 3 : 4
C. 3 : 5
D. 4 : 5
E. 5:9



STEP I : Find the average price without gain
Gain of 10%=110x/100, if x is the average
So \(68.20=\frac{110x}{100}.........x=\frac{682}{11}\)=\(62\)

STEP II : Use weighted average method to find the ratio
60....62........65
So 60:65=\(\frac{65-62}{62-60}\)=3/2=3:2

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Re: In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg  [#permalink]

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New post 30 Sep 2018, 05:28
1
Let x be the cost he incurs. So, Selling price = 1.1x
=>1.1x=68.2=>x =62= The price he incurs
Assume x be the amount of 60/kg tea and y amount of 65/Kg are mixed
Now, (60x+65y)/(x+y)=62=>2x=3y
So, 3:2 i.e option A is the correct choice.
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Re: In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg  [#permalink]

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New post 01 Oct 2018, 11:02
68.2/1.1 = 62

Now use allegations

60 65
62
(65-62):(62-60)

3:2 ratio
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In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg  [#permalink]

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New post 01 Oct 2018, 20:47
shard87 wrote:
In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?

A. 3:2
B. 3:4
C. 3:5
D. 4:5
E. 5:9


let x and y=two varieties
60x+65y=10/11*68.2*(x+y)
2x=3y
x/y=3/2
3:2
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Re: In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg  [#permalink]

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New post 16 Aug 2019, 08:27
shard87 wrote:
In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?

A. 3:2
B. 3:4
C. 3:5
D. 4:5
E. 5:9


I understand what the problem is trying to say, however, to say that he gains 10% does not mean the same as making a 10% profit. Please correct that.
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Re: In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg  [#permalink]

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New post 16 Aug 2019, 10:48
ScottK wrote:
shard87 wrote:
In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?

A. 3:2
B. 3:4
C. 3:5
D. 4:5
E. 5:9


I understand what the problem is trying to say, however, to say that he gains 10% does not mean the same as making a 10% profit. Please correct that.


It simply means that 68.20 is 110% of COst Price....

Hope this helps!!
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Re: In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg   [#permalink] 16 Aug 2019, 10:48
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