A, B and C completed a piece of work. A worked for 6 days. B for 9 days and C for 4 days. Their daily wages were in ratio of 3 : 4 : 5. Find the daily wage of C, if their total earning was Rs 1480. Options: A . &nbspRs 80 B . &nbspRs 75 C . &nbspRs 70 D . &nbspRs 65

Answer: Option A Let the daily wage of A be 3x, daily wage of B be 4x and daily wage of C be 5x. Given that, A worked for 6 days, B worked for 9 days and C worked for 4 days. The total earnings of A = 3x * 6 = 18xThe total earnings of B = 4x * 9 = 36xThe total earnings of C = 5x * 4 = 20x The total earnings of A, B and C = 18x + 36x + 20x = 74x Given that, the total earnings of A, B and C is Rs. 1480. So, 74x = 1480x = 1480/74 = 20 Therefore, the daily wage of C = 5x = 5 * 20 = Rs. 100. Hence, the answer is Option A: Rs 80. Explanation: The given problem is a ratios and proportions problem, where we have to find the daily wage of one person given the ratios of their daily wages and the total earnings. We start by assuming a value of x as the daily wage of one person, and find the values of the other two based on their ratios. Then we calculate the total earnings of each person based on the number of days they worked and their daily wages. Finally, we find the total earnings of all three people and equate it to the given value of Rs. 1480. Solving for x, we find that x = 20. Hence, the daily wage of C = 5x = Rs. 80. If you think the solution is wrong then please provide your own solution below in the comments section .

A, B and C completed a piece of work. A worked for 6 days. B for 9 days and C fo

Question

A, B and C completed a piece of work. A worked for 6 days. B for 9 days and C for 4 days. Their daily wages were in ratio of 3 : 4 : 5. Find the daily wage of C, if their total earning was Rs 1480.

Options:

A . Rs 80

B . Rs 75

C . Rs 70

D . Rs 65

Answer: Option A
Let the daily wage of A be 3x, daily wage of B be 4x and daily wage of C be 5x.
Given that, A worked for 6 days, B worked for 9 days and C worked for 4 days.
The total earnings of A = 3x * 6 = 18xThe total earnings of B = 4x * 9 = 36xThe total earnings of C = 5x * 4 = 20x
The total earnings of A, B and C = 18x + 36x + 20x = 74x
Given that, the total earnings of A, B and C is Rs. 1480. So, 74x = 1480x = 1480/74 = 20
Therefore, the daily wage of C = 5x = 5 * 20 = Rs. 100.
Hence, the answer is Option A: Rs 80.
Explanation:

The given problem is a ratios and proportions problem, where we have to find the daily wage of one person given the ratios of their daily wages and the total earnings.
We start by assuming a value of x as the daily wage of one person, and find the values of the other two based on their ratios.
Then we calculate the total earnings of each person based on the number of days they worked and their daily wages.
Finally, we find the total earnings of all three people and equate it to the given value of Rs. 1480.

Solving for x, we find that x = 20. Hence, the daily wage of C = 5x = Rs. 80.

If you think the solution is wrong then please provide your own solution below in the comments section .

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1 Comments

S Mahapatra 2019-03-25 05:06:51

Daily wages are in the ratio 3:4:5
Let daily wage of A=3x
B=4x
C=5x
A works for 6 days so his wage = 3xÃ—6=18x
B works for 9 days so his wage =4xÃ—9= 36x
C works for 4 days so his wage =5xÃ—4=20x
18x+36x+20x=1480
=> 74x=1480
=> x =1480/74
=> x =20
Hence x=20 & c works for 4 days so his wage is 4Ã—20=80