Question
Monthly savings of βQβ is 20% more than that of
βPβ and is 54% less than monthly income of βPβ. Monthly expenditure of βQβ is Rs. 5730 and ratio of monthly income of βPβ and βQβ is 15:26, respectively. Find monthly expenditure of βPβ.Solution
Let monthly income of βPβ and βQβ be Rs. β15xβ and Rs. β26xβ, respectively Monthly savings of βQβ = 46% Γ 15x = Rs. 6.9x Monthly savings of βPβ = {6.9/1.2} = Rs. 5.75x Monthly expenditure of βPβ = 15x β 5.75x = Rs. 9.25x Monthly expenditure of βQβ = 26x β 6.9x = Rs. 19.1x Or, 19.1x = 5730 Or, x = 5730/19.1 Or, x = 300 Monthly expenditure of βPβ = 9.25 Γ 300 = Rs. 2775
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 4xΒ² - 12x + 9 = 0
Equation 2: 2yΒ² + 10y + 12 = 0
I. 2x² - 7x + 3 = 0
II. 8y² - 14y + 5 = 0
I. 6x2 - 47x + 77 =0
II. 6y2 - 35y + 49 = 0
I. x2 + 11x + 30 = 0
II. y2 + 17y + 72 = 0
I. 2y2 + 13y + 15 = 0
II. 2x2 + 11 x + 12 = 0
I. 81x - 117βx + 40 = 0
II. 81y - 225βy + 136 = 0
I. 3p2Β - 11p + 10 = 0
II. 42q2Β + q -1 = 0
I. 84x² - 167x - 55 = 0
II. 247y² + 210y + 27 = 0
I. y² - 7 y – 18 = 0
II. x² + 10 x + 16 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 21xΒ² - 122x + 160 = 0
Equation 2: 23yΒ² - 159y + ...
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