Question
In a mixture of 180 liters comprising orange juice and
sugar syrup in a 5:4 ratio, if 'p' liters are removed and 16 liters of sugar syrup are added to the remaining mixture, the resulting mixture has equal amounts of juice and sugar syrup. Determine the value of (2p + 17).Solution
ATQ, Initial quantity of orange juice = 180 × (5/9) = 100 liters Initial quantity of sugar syrup = 180 × (4/9) = 80 liters According to the question, 100 – p × (5/9) = 80 – p × (4/9) + 16 Or, 100 – (5p/9) = 80 – (4p/9) + 16 Or, (p/9) = 4 Or, p = 36 Or, (2p + 17) = 89
If x2 – 10x + 20 = 0, then find the value of (x – 3)2 + 1/(x – 3)2
((99.9 - 20.9)² + (99.9 + 20.9)² )/(99.9 x 99.9 + 20.9 x 20.9) = ?
...If (5x + 2)3 + (x – 1)3 + 8(3x – 7)3 = 6(5x + 2) × (x – 1) × (3x – 7), then the value of (5x + 3) is
...Find the value of ‘x’ in the given expression:
(49/16)x × (64/343)x-1 = 4/7
If x2 = 15x + 1, then find the value of {x3 - (1/x3) }.
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A dishonest dealer claims to sell goods at cost price but uses a false weight of 900g instead of 1kg. What is his profit percentage?
Present age of Vikrant is 20% less than the present age of Priya. Age of Vikrant 5 years ago was 50% the present age of Priya. Find the present average ...
If (x – 3) is a factor of (x2 + 4qx – 2q), then the value of q is:
{(21/20) + (20/21)}2 - {(21/20) - (20/21)}2 = ?
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