Question
Hina and Rina start a business together with a combined
investment of Rs. 75,000, maintaining an investment ratio of 12:13, respectively. After 5 months, Hina exits the business, and Riya joins Rina by contributing Rs. 48,000. At the end of one year from the start, what is the percentage difference between the profit received by Riya and that received by Hina?Solution
The initial investment of Hina = 75000 X (12/25) = Rs. 36,000
Initial investment of Rina = 75000 - 36,000 = Rs. 39,000
So, respective ratio of profit shares of Hina, Rina and Riya
= (36000 X 5) :(39,000 X 12) :(48,000 X 7)
= 15:39:28
Required percentage = {(28 - 15) /15} X 100 = 86.67% more
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 38x + 352 = 0
Equation 2: y² - 38y + 312 = 0
Equation 1: 2x2 - 21x + 54 = 0
Equation 2: 4y2 - 23y + 15 = 0
Difference between the roots of equation 1 is approx...
I. 8y2 - 2y - 21 = 0
II. 2x2 + x - 6 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 36x + 288 = 0
Equation 2: y² - 36y + 320 = 0
I. 40 x² - 93 x + 54 = 0
II. 30 y² - 61 y + 30 = 0
I. x2 - x - 56 = 0
II. y2 - 20y + 96 = 0
If α, β are the roots of the equation x² – px + q = 0, then the value of α2+β2+2αβ is
...I. 2x2 + 3x - 9 = 0
II. 3y2 - y - 10 = 0
I. y² - 7 y – 18 = 0
II. x² + 10 x + 16 = 0
I. x2 - 5x - 14 = 0
II. y2 - 16y + 64 = 0
