Question
Three friends A, B and C entered into partnership by
investing Rs. 40X, Rs. (5X + 1500) and Rs. (5000 – 10X) respectively. The ratio of the time period of A, B and C is 4 : 3 : 6 respectively. If the profit-sharing ratio of A, B and C is 24 : 21 : 116 respectively, then find the value of 20X.Solution
Let the time period of A, B and C be 4a, 3a and 6a respectively.
Profit sharing ratio of A, B and C = 40X × 4a : (5X + 1500) × 3a : (5000 – 10X) × 6a
ATQ,
(40X × 4a)/((5X + 1500) × 3a) = 24/21
=> (160X)/(15X + 4500) = 24/21
21 × 160X = 24(15X + 4500)
3360X = 360X + 108000
3000X = 108000
X = 36
Required value = 20 × 36 = 720
Direction: Which of the following will replace ‘?’ in the given question?
5, 18, ‘?’, 126, 296, 586, 1044
5 ? 205 823 7405 29623
8   24    12    ?   18     54
15 12 5 ? -21 -40
...Direction: Which of the following will replace ‘?’ in the given question?
342, ‘?’, 420, 462, 506, 552, 60
There are three series given below which are following with the same pattern.
Series I: 21, 44, 135, 544, 2725
Series II: 14, B, C, D, E
51     53     109     332     ?     6686
...A series is 2100, 3431, 2431, 3160, 2648, 2991
If another series 1728, __, __, __, __, p, follows the same pattern as the given number series, th...
8 9 22 75 316 ?
...21 11.5 13 ? 45.5 116.75
...