Question
A and B enter into partnership. A invests some money at
beginning, B invests thrice the amount after 5 months and C invests double the amount after 9 months. If the annual profit be Rs.39000, then find C’s share.Solution
Let A’s investment be Rs. x. Then, ratio of capitals of A, B and C = (x × 12) : (3x × 7) : (2x × 3) ⇒  12x : 21x : 6x ⇒  4x : 7x : 2x Therefore, C’s share = Rs. 39000 x (2/13) = Rs.6000
If (x 4 Â + x 2 y 2 Â + y 4 ) = 216 and (x 2 Â - xy + y 2 ) = 12, then find the value ...
If (x –1.3)3+(x–1.4)3+(x–1.5)3 = 3(x–1.3)(x–1.4)(x–1.5), Then x = ?
If (a – 8) 2  + (b + 2) 2 + (c – 3) 2  = 0, then find the value √(a +b + c).
...If 9x2 + 16y2 = 24xy, then find the ratio of ‘x’ and ‘y’, respectively.
- If, 4x + 3y = 18, and 2xy = 12, and 4x > 3y, then find the value of 64x 3 Â - 27y 3 .
If 'a' = 2 + √3, then find the value of [a2 - (1/a2)].
- If p = 35 - q - r and pq + r(p + q) = 324, then find the value of (p² + q² + r²).
If (x – 3) is a factor of (x2 + 4qx – 2q), then the value of q is:
The graphs of the equations 3x-20y-2=0 and 11x-5y +61=0 intersect at P(a,b). What is the value of (a² + b² − ab)/(a² − b²...