Question
'A', 'B' and 'C' started a business such that the sum
invested by 'B' is (1/4)th of the total sum invested by all of them together and (1/2) of the sum invested by 'A'. If 'A', 'B' and 'C' invested their sums for 9 months, 6 months and 3 months, respectively, then find the ratio of profits received by 'A', 'B' and 'C' respectively.Solution
Let the total sum invested by 'A', 'B' and 'C' together be Rs. ‘4x’ Therefore, sum invested by ‘B’ = (4x/4) = Rs. ‘x’ Sum invested by ‘A’ = 2 × x = Rs. ‘2x’ Sum invested by ‘C’ = 4x – (2x + x) = Rs. ‘x’ Required ratio = (2x × 9):(x × 6):(x × 3)
= 18x : 6x : 3x
= 6 : 2 : 1
Determine the remainder when equation 4a3 - 5a2 + 2a + 1 is divided by (4a - 3) .
If -5 ≤ x ≤ 3 and -1 ≤ y ≤ 0, then the minimum value of 2y – 3x is:
Find x, given 5 (√5)x+6 = (√5)2x+7 :
The total number of even factors of 25 × 33 × 52 is:
Solve for x (x > 1):
log₃(x − 1) + log₃(x + 1) = 2
If x3 + y3 + z3 = 3(1 + xyz), P = y + z – x, Q = z + x – y and R = x + y – z, then what is the value of P...
Solve the equation:
3(x − 2) + 4(2x + 1) = 5(2x − 3) + 7
If a3 = 117 + b3 and a = 3 + b, then the value of a + b is:
Which one of the following is the equation for Velocity Time relation?
The value of the expression (1 + sec22° + cot68°)(1 – cosec22° + tan68°) is
Relevant for Exams:
