Question
P, Q and R invested their capitals in a business in the
ratio 5:6:4 respectively. At the end of the year, they received profits in the ratio 10:18:8 respectively. What is the ratio of the time periods for which they invested their money?Solution
ATQ,
We know,
Sum × Time = Profit
So, required ratio of time = (10 ÷ 5) : (18 ÷ 6) : (8 ÷ 4) = 2 : 3 : 2
For given pair of equations, how many solutions are possible?
3x + 4y = 15 and 6x + 8y = 10
The ratio of roots of the equation mx2 + nx + n = 0 is α/ β = a/b, then find the value of `sqrt(a/b)+sqrt(b/a)+sqrt(n/m)`
For given pair of equations, how many solutions are possible?
4x + 6y = 16 and 8x + 12y = 32
If (5√P - 7√Q) = 5, [1.5P = 4Q-(R/3)+9] and (√P/√Q) = 1.6, then find out the value of ‘R’.
The ratio of roots of an equation
ax²+bx+b = 0 is p : q
Then find, √p/√q + √q/√p + √p/√q ?
I. p2 – 5p + 6 = 0                 Â
II. 36q2 = 81
...I. p² - 365 = 364
II. q - √ 529 = √ 169
For given pair of equations, how many solutions are possible?
7x − 3y = 20 and 14x − 5y = 40
If x - √3 y = 8 Find the slope in angle?
If 2x + 3y = 27 and 3x - y = 13, find (x + y).