5 men are equal to as many women as are equal to 8 boys. All of them together ea

Sail E0 Webinar

Question

5 men are equal to as many women as are equal to 8 boys. All of them together earn Rs 90 daily. A man’s wage is

Options:

A . Rs 4

B . Rs 5

C . Rs 6

D . Rs 7

Answer: Option C
Let the daily wage of a man, a woman, and a boy be m, w, and b, respectively.
From the given statement, we can form the following equations:
5m = w (because 5 men are equal to as many women)w = 8b (because as many women are equal to 8 boys)
Substituting the second equation in the first, we get:
5m = 8b
Or, m = (8/5)b
Now, we can write the total daily wage as:
5m + w + 8b = 90
Substituting the value of w from the second equation, we get:
5m + 8b + 8b = 90
Or, 5m + 16b = 90
Substituting the value of m from the earlier equation, we get:
5(8/5)b + 16b = 90
Or, 8b + 16b = 90
Or, 24b = 90
Or, b = 90/24 = 15/4
Substituting the value of b in the equation for m, we get:
m = (8/5) x (15/4) = 6
Therefore, the daily wage of a man is Rs 6, which is option (C).

Was this answer helpful ?

Next Question

1 Comments

prasanth 2017-10-30 06:39:31

0

let x women are there.
but in the given question 5m=xw=8b
so the amount 90 should be distributed equally among them.
90/3=30 for men,women and boys also.
as 5men are there
so each men will get 30/5=Rs 6/-

Submit Solution

More Questions on This Topic :

Question 1. X and Y undertook a piece of construction work for Rs 4500. X alone could do it in 8 days and Y in 12 days. Find thei....Y in 12 days. Find their share in the money.

Question 2. If 3 men and 4 girls earn Rs 750 in 3 days and 10 men and 18 girls earn Rs 4750 in 5 days, in what time will 14 men a....time will 14 men and 10 girls earn Rs 15200?

Question 3. A can do a piece of work in 10 days while B alone can do it in 15 days. They work together for 5 days and the rest of....for the whole work, how should they divide the money?

Question 4. I engaged a man for a certain number of days for Rs 1725. He was absent for 7 days. I paid him Rs 920. What was his dail....I paid him Rs 920. What was his daily wage?

Question 5. If the wages of 40 women amount to Rs 1,60,000 in 50 days, how many men must work for 15 days to receive Rs 9,600, th....of a man being double of that of a woman?

Question 6. Anu and her friend Radha undertook a piece of work for Rs 1800. Anu alone could do the work in 12 days and Radha in 18 d....be shared in proportion to the amount of work done.

Question 7. A and B undertook a job for Rs 1400. A can do it alone in 7 days and B in 8 days. With the help of C, they finish the....work in 3 days. How should the money be divided?

Question 8. 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 rati....wage of C, if their total earning was Rs 1480.

Question 9. X, Y and Z contract a piece of work for Rs 550. X and Y together are to do \(\frac{7}{11}\) of the work. How much wou....the work. How much would Z get for the work?

Question 10. X, Y and Z together earn Rs 300 per day, while X and Z together earn Rs 180 and Y and Z together earn Rs 160. The dai....earn Rs 160. The daily earning of Z is

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0