Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 12)
12.
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%?
Answer: Option
Explanation:
S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10%.
| C.P. of 1 kg of the mixture = Rs. |  |
100 | x 68.20 |  |
= Rs. 62. |
| 110 |
By the rule of alligation, we have:
| Cost of 1 kg tea of 1st kind. Cost of 1 kg tea of 2nd kind. | ||
| Rs. 60 | Mean Price Rs. 62 | Rs. 65 |
| 3 | 2 | |
Required ratio = 3 : 2.
Discussion:
22 comments Page 1 of 3.
Zahir said:
6 years ago
We know,
Gain%= (SP-CP)/CP.
Let, the amount of tea Rs.65 is x kg.
And the amount of tea Rs.60 is y kg.
Now, CP= 60x+65y.
SP= 68.20(x+y),
So according to the gain% formula.
[{68.20(x+y)-(60x+65y)}/(60x+65y)]=10/100,
=> x/y=3/2.
Gain%= (SP-CP)/CP.
Let, the amount of tea Rs.65 is x kg.
And the amount of tea Rs.60 is y kg.
Now, CP= 60x+65y.
SP= 68.20(x+y),
So according to the gain% formula.
[{68.20(x+y)-(60x+65y)}/(60x+65y)]=10/100,
=> x/y=3/2.
(3)
It's me said:
4 years ago
Didn't understand !
(2)
Cosul said:
7 years ago
Easy method applicable for all these kinds of problems.
(quantity 1*price 1+quantity 2*price 2)/quantity 1+quantity 2 = mean quantity.
%gain over CP =SP - CP.
Hence,10% * CP =SP - CP.
Upon solving you will get CP=100/110 * SP. = 62 rs
(60(x)+65(y))/x+y = 62. If you solve it you get x/y =3/2.
(quantity 1*price 1+quantity 2*price 2)/quantity 1+quantity 2 = mean quantity.
%gain over CP =SP - CP.
Hence,10% * CP =SP - CP.
Upon solving you will get CP=100/110 * SP. = 62 rs
(60(x)+65(y))/x+y = 62. If you solve it you get x/y =3/2.
(2)
Jyotsana said:
6 years ago
I think the ratio should be 2:3.
(1)
Nitesh said:
9 years ago
There will be profit, hence less price object will be in more than other.
Hence, 3 : 2 only one option.
Hence, 3 : 2 only one option.
(1)
DEVINDER SINGH said:
2 years ago
CP 1 = 60
CP2 = 65
CP of mixture = 62.
Explanation:
Because 68.20 is sp of mixture which comes after a 10 % gain.
So cp * 111% = 68.20.
CP of mix = 62alligation imposed when all quantity will in same unit cp1 ,cp2, cp mixture.
CP2 = 65
CP of mixture = 62.
Explanation:
Because 68.20 is sp of mixture which comes after a 10 % gain.
So cp * 111% = 68.20.
CP of mix = 62alligation imposed when all quantity will in same unit cp1 ,cp2, cp mixture.
Sumeet said:
1 decade ago
How the required ratio is obtained?
Monali said:
4 years ago
How does the (100) fraction come?
Explain, please.
Explain, please.
Tamanna said:
5 years ago
I am not getting this, please anyone explain in detail.
Ashutosh said:
7 years ago
Anyone help me how to come 110?
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