Question
‘X’ and ‘Y’ invested Rs. 6000 and Rs. 7500
respectively for 10 months and 8 months respectively in a business. X gave away 60% of his profit to a welfare fund and was left with Rs. 2160. Find the total profit earned by both.Solution
ATQ,
Profit ratio of X and Y = 6000 × 10 : 7500 × 8 = 60000 : 60000 = 1 : 1
X’s actual profit = 2160 / 0.40 = Rs. 5400
Total profit = 5400 × 2 = Rs. 10800
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 24x + 143 = 0
Equation 2: y² - 20y + 96 = 0
l. 3x2 + 17x + 24 = 0
II. 2y2 + 15y + 27 = 0
I. x2 – 3(x + 5) = -11
II. y2 – 4(y + 2) = -2y
I. 8a2 – 22a+ 15 = 0
II. 12b2 - 47b + 40=0
If α, β are the roots of the equation x² – px + q = 0, then the value of α2+β2+2αβ is
...I. 2y2 + 11y + 15 = 0
II. 3x2 + 4x - 4= 0
I. 3p² + 13p + 14 = 0
II. 8q² + 26q + 21 = 0
- Suppose both the roots of q² + kq + 49 = 0 are real and equal, then determine the value of 'k'.
I. x2 – 18x + 81 = 0
II. y2 – 3y - 28 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 34x + 285 = 0
Equation 2: y² - 26y + 165 = 0
