Question

A man, his wife and daughter worked in a graden. The man worked for 3 days, his
wife for 2 days and daughter for 4 days. The ratio of daily wages for man to
women is 5 : 4 and the ratio for man to daughter is 5:3. If their total earnings is
mounted to Rs. 105, then find the daily wage of the daughter.​

Answer 1

125 rupees according to your question

Answer 2

Answer:

The daily wage of the daughter will be 9 Rs.

Step-by-step explanation:

Given: A man, his wife, and his daughter worked in a garden.

The man worked for 3 days, his wife for 2 days, and his daughter for 4 days.

The ratio of daily wages for men to women is 5:4 and the ratio for men to daughter is 5:3. If their total earnings are mounted to Rs. 105.

We have to find the daily wage of the daughter.​

We are solving in the following way:

Assume that the daily wages of a man, woman, and daughter are$Rs. 5x, Rs. 4x, Rs. 3x$respectively.

Multiplying (no. of days) with (assumed daily wage) of each person to calculate the value of x.

$\begin{array}{l}{[3 \times(5 x)]+[2 \times(4 x)]+[4 \times(3 x)]=105} \\{[15 x+8 x+12 x]=105} \\35 x=105 \\x=3\end{array}$

Hence, man's daily wage $= 5x = 5 \times 3 = Rs. 15$

Wife's daily wage $= 4x = 4 \times 3 = Rs. 12$

Daughter's daily wage $= 3x = 3 \times 3 = Rs. 9$

Hence, Daughter's daily wages will be 9Rs.