Question
Two partners, 'P' and 'Q,' invested in a business with
initial amounts of Rs. 4,800 and Rs. 7,200, respectively. 'P' maintained the investment for 15 months, while 'Q' did so for 12 months. If 'P's share of the profit amounted to Rs. 3,500, what was the combined profit earned by both 'P' and 'Q' in the business?Solution
Ratio of profit shares of 'P' and 'Q' = (4800 X 15):(7200 X 12) = 72000:86400 = 5:6 So, profit share of 'Q' = 3500 X (6/5) = Rs. 4200 And so, total profit of 'P' and 'Q' = 3500 + 4200 = Rs. 7700 Hence, option d.
I. 15y2 + 4y – 4 = 0
II. 15x2 + x – 6 = 0
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
I. 15b2 + 26b + 8 = 0
II. 20a2 + 7a - 6 = 0
I. x2 – 12x + 32 = 0
II. y2 + y - 20 = 0
I. 6y2 - 17y + 12 = 0
II. 15x2 - 38x + 24 = 0
I. 4x2 – 53x – 105 = 0
II. 3y2 – 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: 3x² + 6x - 9 = 0
Equation 2: 2y² - 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...
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