Aptitude - Alligation or Mixture - Discussion

Discussion Forum : Alligation or Mixture - General Questions (Q.No. 7)
7.
How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
36 kg
42 kg
54 kg
63 kg
Answer: Option
Explanation:

S.P. of 1 kg of mixture = Rs. 9.24, Gain 10%.

C.P. of 1 kg of mixture = Rs. 100 x 9.24 = Rs. 8.40
110

By the rule of allilation, we have:

C.P. of 1 kg sugar of 1st kind Cost of 1 kg sugar of 2nd kind
Rs. 9 Mean Price
Rs. 8.40
Rs. 7
1.40 0.60

Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.

Let x kg of sugar of 1st be mixed with 27 kg of 2nd kind.

Then, 7 : 3 = x : 27

x = 7 x 27 = 63 kg.
3

Discussion:
41 comments Page 4 of 5.

Raji said:   1 decade ago
Sorry I cant understood what amit said. Kindly explain it.

Naimul Samad said:   10 years ago
(x * 9 + 27 * 7) * 110/100 = (x + 27) 9.24.
So, x = 63.

Rangpur Road said:   7 years ago
(9x+27*7) =9.24(x+27)10/11.
By calculation x = 63.
(1)

Jeyari said:   5 years ago
Could you please explain how ratio reduced to 7:3?

Hari Shankar Yadav said:   1 decade ago
I am very satisfied with these answers.

Ram said:   1 decade ago
How the 14:6 come can any one explain ?

Mangesh said:   4 years ago
Why use the 100/110? Explain, please.
(10)

Pernisha said:   7 years ago
I can't understand please help me.
(1)

Suhani said:   2 decades ago
Hi,

How the C. P is calculated?

May said:   1 decade ago
Can explain me for ratio ??


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