Question
"P" and "Q" invested Rs. 4000 and Rs. 2500,
respectively, to launch their businesses. 4 months later, "P" took out Rs. 1500 from his original investment, while "Q" contributed an additional Rs. 1500. Out of the Rs. 15,600 total annual earnings, how much would "Q" receive?Solution
According to the question, Ratio of profits received by βPβ and βQβ {(4000 Γ 4) + (2500 Γ 8)}:{(2500 Γ 4) + (4000 Γ 8)} = 18:21 = 6:7 Required sum received by βQβ = 15600 Γ (7/13) = Rs.8,400
I. 15y2Β + 4y β 4 = 0
II. 15x2Β + x β 6 = 0
- For what value of a does the quadratic equation xΒ² + ax + 81 = 0 have real and identical roots?
I. 15b2 + 26b + 8 = 0
II. 20a2 + 7a - 6 = 0
I. x2 β 12x + 32 = 0
II. y2 + y - 20 = 0
I. 6y2 - 17y + 12 = 0
II. 15x2 - 38x + 24 = 0
I. 4x2 β 53x β 105 = 0
II. 3y2 β 25y + 48 = 0
I. 9/(4 )p + 7/8p = 21/12
II. 7/5p = 9/10q + 1/4
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3xΒ² + 6x - 9 = 0
Equation 2: 2yΒ² - 16y + 32 = 0
Quantity I: A vessel contains a mixture of milk and water in the ratio of 7 : 5. If 9 litre of mixture is sold and replaced by same amount of water then...