Question
A and B started a business with investments of Rs.
12,800 and Rs. 16,000, respectively. After a few months, C joined them with an investment of Rs. 9,600. At the end of 16 months, the total profit of Rs. 5,400 was distributed, and C received a share of Rs. 1,080. Based on this, determine after how many months C joined the business.Solution
Let the time for which 'C' invest in the business be 'n' months. Ratio of profit shares of 'A', 'B' and 'C' respectively: = (12,800 X 16) :(16,000 X 16) :(9,600 X n) = 64:80:3n So, 3n ÷ (64 + 80 + 3n) = (1,080/5,400) Or, 3n ÷ (144 + 3n) = (1/5) Or, 15n = 144 + 3n Or, 12n = 144 Or, 'n' = 12 Therefore, time after which 'C' joined the business = 16 - 12 = 4 months
I. x2 - 11x + 24 = 0
II. y² - 5y + 6 = 0
I. 25p + 2(2p2 – 1) = 8(p + 5)
II. 8q2 + 35q – 78 = 0
I. 3q² -29q +18 = 0
II. 9p² - 4 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 41x + 400 = 0
Equation 2: y² - 41y + 420 = 0
I. 20x² - 93x + 108 = 0
II.72y² - 47y - 144 = 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...
If the roots of the quadratic equation 5x² + 4x + 6 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
...I. 15b2 + 26b + 8 = 0
II. 20a2 + 7a - 6 = 0
I. x2 – 10x + 21 = 0
II. y2 + 11y + 28 = 0
I). p2 + 22p + 72 = 0,
II). q2 - 24q + 128 = 0
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