Question
'A' and 'S' ventured into a business with initial
investments of Rs. "w + 32" and Rs.'w', respectively. After 'x' months, 'V' joined them with an initial investment that was 20% greater than 'A's initial investment. At the conclusion of '2x' months, the ratio of profit shares for A, S, and V was 6x:14y:9z, respectively. Determine which of the following relation(s) holds true in this scenario. I. z = 0.4x II. w = 448y/[15z – 14y] III. w = 224y/[3x – 7y]Solution
ATQ, Ratio of profit share of A, S and V = [(w + 32) × 2x]:[w × 2x]:[1.2 × (w + 32) × x] So, [(w + 32) × 2x]/[1.2 × (w + 32) × x] = 6x/9z So, (2/1.2) = (2x/3z) So, z = (1.2x/3) = 0.4x And, [w × 2x]:[1.2 × (w + 32) × x] = (14y/9z) So, w/[0.6 × (w + 32)] = 14y/9z Or, w = 448y/[15z – 14y] And, [(w + 32) × 2x]:[w × 2x] = 6x/14y = 3x/7y Or, w = 224y/[3x – 7y]
351Â Â Â 261Â Â Â 181Â Â Â 111Â Â Â 51Â Â Â ?
Find the 31st term of the series 25, 29, 33……
632, 560, 494, 434, ?, 332
1331      1000            729       512       ?             216
...2556   636    156    ?    6
3 5 15 75 1125 ?
...1. In series II, if ‘x’ is the right term, then find which of the following statement(s) are true.
I. x/124 is a factor 6 and 8.
73920, 9240, ?, 220, 44, 11
12 78 385 ? 4629 9260
...A number series is given below, which follows a specific pattern. If 'A' represents the 'x'th term and 'B' represents ...