Question
In a mixture of milk and water, the quantity of milk is
40% more than the quantity of water. If 30% of mixture is taken out and (y-15) and (y+35) litres of milk and water is added into the mixture, then the new ratio of milk and water will be 4:3 respectively. Find out the value of ‘y’ when the total initial quantity of mixture was 3600 litres.Solution
The total initial quantity of mixture was 3600 litres.
In a mixture of milk and water, the quantity of milk is 40% more than the quantity of water.
Ratio of the initial quantity of milk and water = 140 : 100 = 7:5
initial quantity of milk = 3600 of (7/12) = 2100
initial quantity of water = 3600 of (5/12) = 1500
If 30% of mixture is taken out and (y-15) and (y+35) litres of milk and water is added into the mixture, then the new ratio of milk and water will be 4:3 respectively.
2100 of (100-30)% + (y-15) : 1500 of (100-30)% + (y+35) = 4 : 3
2100 of 70% + (y-15) : 1500 of 70% + (y+35) = 4 : 3
1470 + (y-15) : 1050 + (y+35) = 4 : 3
3[1470 + (y-15)] = 4[1050 + (y+35)]
4410+3y-45 = 4200+4y+140
4y-3y = 4410-45-4200-140
value of ‘y’ = 25
What will be the value of expression if the signs ‘(+)’ and ‘(×)’ are interchanged?
63 + 7 ÷ 21 × 14 – 24 ÷ 6
...If all the alphabets of alphabetical series are numbered as 26-1 from A-Z then what is the sum of the numbers of letters of the word “ PARENT ”?
Which two signs should be interchanged in the following equation to make it correct:
640 ÷ 80 + 6 × 20 – 10 = 58
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