Two cups X and Y contain coffee and water combined in the ratio 8 5 and 5 2 correspondingly What is ...........

Quantitative Aptitude ( CCS) Mixture and Alligation

Two cups X and Y contain coffee and water combined in the ratio 8:5 and 5:2 correspondingly. What is the ratio in these 2 combinations be combined to get a new combination has coffee and a water in the ratio of 9:4?

2:9

2:7

3:5

9:11

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Explanation:

i) : If C.P. of coffee be Re.1
Given ratio of combination in X= 8:5
Coffee in 1 cup combination in X = (8/13)cups
C.P of 1 cup combination in X= Rs. 8/13
Therefore, The ratio of Combination in Y = 5:2
Coffee in 1 cup combination in Y – (5/7) cups
C.P of 1 cup combination in B = Rs. 5/7
Ratio of new combination = 9:4
milk in 1 cup combination = 9/13
C.P of 1 cup combination = Rs/ 9/13 (Mean price)
ii) : By the rule of allegation,
i. C.P of 1 cup of combination in X =8/13
ii. C.P of 1 cup of combination in Y = 5/7
iii. Mean price (p) = 9/13
iv. d – m = 9/13 – 5-7 = 2/91
v. m – c = 9/13 – 8/13 = 1/13
Needed ratio = 2/91 : 1/13 = 2:7