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

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Intern
Joined: 03 Jul 2018
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Location: India
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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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30 Sep 2018, 04:45
1
5
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Difficulty:

25% (medium)

Question Stats:

74% (01:53) correct 26% (02:13) wrong based on 99 sessions

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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
Math Expert
Joined: 02 Aug 2009
Posts: 7957
Re: In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg  [#permalink]

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30 Sep 2018, 05:17
2
2
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

A
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Joined: 01 Jan 2018
Posts: 79
Re: In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg  [#permalink]

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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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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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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
A
Intern
Joined: 15 Jul 2019
Posts: 12
Re: In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg  [#permalink]

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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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Joined: 11 Jun 2011
Posts: 4778
Location: India
GPA: 3.5
Re: In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg  [#permalink]

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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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Abhishek....

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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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