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NEHA TANEJA

· started a discussion

· 1 Months ago

mixture and alligation (Question:320145.0)

a:b:c =a:c:: b:c
60:75:: 75:100
1:1 4:1 The ratio I am able to comprehend is 1:4:1 Could you please let me know why it is 1:4:2

Question:

 In what ratio must a person mix three kinds of tea costing Rs. 60/kg, Rs. 75/kg and Rs. 100/kg so that the resultant mixture when sold at Rs. 96/kg. yield a profit of 20%?


Options:
A)

 1:1:4

B)

 1:4:2

C)

 1:4:1

D)

 1:2:4

Solution:

 S.P. = 96

Profit = 20%

So C.P. = 80

Now

60100 ↘ ↙ 80 ↙ ↘20 201 :1  75100 ↘ ↙ 80 ↙ ↘ 20 5 4:1   

So 60 Rs./kg : 75 Rs./kg : 100 Rs./kg = 1:4:2

Shobhit Kauths

· commented

· 1 Months ago

1 portion of rs. 60
4 portions of rs. 75
and 2 portions (1 each of rs. 100)
The ratios are to be added as we are mixing them to form final product.
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