A cup of milk containing sugar and pure milk in the ratio 4 : 1 respectively is mixed with another cup of milk of same volume as the earlier and containing 30%
of sugar. Determine the ratio of total quantity of sugar to the total quantity of pure milk.
Ops: A. 15:13
B. 17 : 13
C.11:9
D.17:15
Answers
Answer: C
Step-by-step explanation:
intial ratio = 4:1
30% of sugar so 70% of pure milk
ratio=3:7
ratio of quantity = (4/5 + 3/10) / (1/5 + 7/10)
=11/9
11:9 is the answer
Given : A cup of milk containing sugar and pure milk in the ratio 4 : 1 respectively is mixed with another cup of milk of same volume as the earlier and containing 30% of sugar.
To Find : the ratio of total quantity of sugar to the total quantity of pure milk.
A. 15:13
B. 17 : 13
C. 11:9
D. 17:15
Solution:
Volume in Each = 10x ml
sugar and pure milk in the ratio 4 : 1
4 + 1 = 5
=> Sugar = (4/5) 10x = 8x ml
=> Milk = (1/5)10x = 2x ml
containing 30% of sugar.
=> Sugar = (30/100) 10x = 3x ml
=> Milk = 10x - 3x = 7x ml
Total Sugar = 8x + 3x = 11x
Total Milk = 2x + 7x = 9x
Ratio 11x : 9x
= 11:9
Hence Correct option is C) 11:9
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