Question
'A' and 'B' started a business with initial investments
in the ratio 4:7. After six months, 'C' joined the business with an investment of Rs. 4,000. At the end of the year, the profit shares of 'A' and 'C' were in the ratio of 2:1, and 'B's profit was Rs. 3,000 more than 'C's profit. What was the total profit earned from the business at the end of the year?Solution
Let the sum invested by 'A' and 'B' be Rs. '4x' and Rs. '7x', respectively. Ratio of profit shares of 'A', 'B' and 'C' at the end of the year = (4x X 12):(7x X 12):(4000 X 6) = 4x:7x:2000 ATQ: (4x/2000) = (2/1) Or, 4x = 4000 So, x = 1000 So, sum invested by 'B' = 7 X 1000 = Rs. 7,000 Ratio of profit shares of 'A', 'B' and 'C' at the end of the year = (4x X 12):(7x X 12):(4000 X 6) = (4 X 1000):(7 X 1000):2000 = 4:7:2 So, profit earned from the business = 3000 X (13/5) = Rs. 7,800
For 3x² − 10x − 8 = 0, find (1/α + 1/β).
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. 3x<...
I. 2x2 - 9 x + 9 = 0Â
II. 2y2 - 7 y + 3 = 0
I. 8x² - 74x + 165 = 0
II. 15y² - 38y + 24 = 0
I. 3x2 - 16x - 12 = 0
II. 2y2 + 11y + 9 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...
For what values of k does the equation x² – (k+1)x + k = 0 have two distinct real roots, both greater than 1?
l. x2 - 16x + 64 = 0
II. y2Â = 64
I. 66x² - 49x + 9 = 0
II. 46y² - 37y - 30 = 0
I. 3p² - 17p + 22 = 0
II. 5q² - 21q + 22 = 0
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