A and B undertook to do a piece of work for $4500. A alone could do it in 8 days

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Question
A and B undertook to do a piece of work for $4500. A alone could do it in 8 days and B alone in 12 days. With the assistance of C they finished the work in 4 days. Then C's share of the money is:
Options
A. $2250
B. $1500
C. $750
D. $375

Correct Answer

$750

Explanation

Work and Wages problems

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1.
A, B and C are employed to do a piece of work for $575. A and C are supposed to finish 19 / 23 of the work together. Amount shall be paid to B is:
Options
A. $210
B. $100
C. $200
D. $475

2.
A man and a boy received $800 as wages for 5 days for the work they did together. The man's efficiency in the work was three times that of the boy. What are the daily wages of the boy?
Options
A. $76
B. $56
C. $44
D. $40

3.
Two men undertake a piece of work for $600. Individually, they can complete the work in 6 days and 8 days, respectively. With the assistance of a boy they completed the work in 3 days. The boy's share should be:
Options
A. $300
B. $225
C. $75
D. $100

4.
The first man alone can complete this work in 7 days. The second man alone can do this work in 8 days. If they are working together to complete this work in 3 days and also taking help of a boy, then how should the money be divided?
Options
A. $600, $500, $300
B. $600, $525, $275
C. $600, $550, $250
D. $500, $525, $375

5.
4 men and 6 woman get ? 1600 by doing a piece of work in 5 days. 3 men and 7 women get ? 1740 by doing the same work in 6 days. In how many days, 7 men and 6 women can complete the same work getting ? 3760?
Options
A. 6 days
B. 8 days
C. 10 days
D. 12 days

6.
A, B and C undertake to complete a piece of work for ? 1440. A alone can complete the work in 8 days, B in 12 days and C in 16 days. They complete the work with the help of D in 3 days. What does D get?
Options
A. ? 265
B. ? 270
C. ? 300
D. None of these

7.
A man invests in a 4 ¹/ ₂% stock at 96. The interest obtained by him is?
Options
A. 4%
B. 4.5%
C. 4.69%
D. 1/2%

8.
By investing Rs. 1100 in a 5 ¹/ ₂% stock one earns Rs. 77. The stock is then quoted at?
Options
A. Rs. 93
B. Rs. 107
C. Rs. 784/7
D. Rs. 973/4

9.
To produce an annual income of Rs. 500 in a 4% stock at 90, the amount of stock needed is?
Options
A. Rs. 11250
B. Rs. 12500
C. Rs. 18000
D. Rs. 20000

10.
A 4% stock yield 5%. The market value of the stock is?
Options
A. Rs. 125
B. Rs. 80
C. Rs. 99
D. Rs. 109

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