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 β 14y] III. w = 224y/[3x β 7y]Solution
ATQ, Ratio of profit share of A, S and V = [(w + 32) Γ 2x]:[w Γ 2x]:[1.2 Γ (w + 32) Γ x] So, [(w + 32) Γ 2x]/[1.2 Γ (w + 32) Γ x] = 6x/9z So, (2/1.2) = (2x/3z) So, z = (1.2x/3) = 0.4x And, [w Γ 2x]:[1.2 Γ (w + 32) Γ x] = (14y/9z) So, w/[0.6 Γ (w + 32)] = 14y/9z Or, w = 448y/[15z β 14y] And, [(w + 32) Γ 2x]:[w Γ 2x]Β = 6x/14y = 3x/7y Or, w = 224y/[3x β 7y]
Ram, Shyam, Rohan, Reeta, and Mukesh are five members of a family who are weighed consecutively, and their average weight is calculated after each membe...
The average expenditure of a man for the first 6 month is Rs.6000 and for the next 6 months is Rs.9000. If he saves 15000 in that year then find his ave...
The combined average weight of 8 apples and 5 oranges is 150 grams. If the average weight of the apples is 180 grams, what is the average weight of the ...
An English-based company has 625 men and 625 female employees in a collaborative project. The average attendance of all employees is 74 calls per day. O...
Rajat aims to save an average of Rs. 750 per month over the course of a year. For the first 8 months, his monthly income was Rs. 3,000, and he spent 80%...
Average 20 numbers is βxβ. If the average of first 12 numbers is 64.5 while average of last 5 numbers is 86.6 and 13th, 14th a...
The average of 17 numbers is 48. The average of first 9 numbers is 45 and average of next 9 numbers is 52. If 9th number is excluded, then th...
The average number of books read by 40 Indian students in a year is 30. If the books read by their librarian are included, the average increases by 2 bo...
The average weight of a group of five persons, A, B, C, D, and E is 70 kg. If another person K joins the group then the average weight of the group is d...
The average marks obtained by 6 students in a class is 60. If the topper leaves, the average drops to 55. Find the marks of the topper.