Question
A, B and C started a business with initial investments
in the ratio 4:3:8, respectively. After one year A, B and C made additional investments equal to 20%, 45% and 50% of their initial investments respectively. Find the profit share of B out of the total profit of Rs. 14460 after two years.Solution
Let the initial investments of A, B and C be Rs. 4x, Rs. 3x and Rs. 8x respectively. So the additional investment of A = 0.20 × 4x = Rs. 0.80x Additional investment of B = 0.45 × 3x = Rs. 1.35x Additional investment of C = 0.50 × 8x = Rs. 4x Ratio of investments of A, B and C = (4x + 4x + 0.8x):(3x + 3x + 1.35x):(8x + 8x + 4x) = 8.8x : 7.35x : 20x = 176 : 147 : 400 So the profit share of B = 147/(176 + 147 + 400) × 14460 = Rs. 2940
Determine the remainder when the polynomial 4x 3 Â - 5x 2 Â + 2x + 1 is divided by (4x - 3).
If 2x + y = 15 and xy = 18, then the value of (4x² - y²)
You are provided with three sequences below. Determine the values of P, Q, and R, and then identify the relationship among them.<...
If the sum of three numbers is zero, then which of the options below will always be equal to the value of the sum of the cubes of those numbers?
If x  = 107, then find the value of x(x2 - 12x + 48) ?
If p = 33 - q - r and pq + r(q + p) = 260, then find the value of (p² + q² + r²).
If (p + q) = 12 and pq = 32, then find the value of (p² + q²).
If a + b + c = 11, ab + bc + ca = 3 and abc = -135, then what is the value of a³ + b³ + c³ ?
If 125x3 - 216y3 = (5x - Ay) X (Bx2 + 36y2 + Cxy), then find the value of 3 X (2A + 6B) - 2C.
If 'a' = 2 + √3, then find the value of [a2 - (1/a2)].
