Ratio, proportion and rate - Jamb Mathematics Past Questions and Answers

Question 26:

• JAMB 1990

three brothers in a business deal share the profit at the end of a contact. The first received \(\frac{1}{3}\) of the profit and the second \(\frac{2}{3}\) of the remainder. If the third received the remaining N12000.00 how much profit did they share?

A. N60 000.00
B. N54 000.00
C. N48 000.00
D. N42 000.00

Question 27:

• JAMB 1990

A car painter charges N40.00 per day for himself and N10.00 per day for his assistant. if a fleet of cars were painted for N2000.00 and the painter worked 10days more than his assistant, how much did the assistant receive?

A. N32.00
B. N320.00
C. N420.00
D. N1680.00

Question 28:

• JAMB 1991

If 3 gallons of spirit containing 20% water are added to 5 gallons of another spirit containing 15% water, what percentage of the mixture is water?

A. 2\(\frac{4}{5}\)%
B. 16\(\frac{7}{8}\)%
C. 18\(\frac{1}{8}\)%
D. 18\(\frac{7}{8}\)%

Question 29:

• JAMB 1991

Fifty boxes each of 50 bolts were inspected for the number which were defective. The following was the result
\(\begin{array}{c|c} \text{No. defective per box} & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline \text{No. of boxes} & 2 & 7 & 17 & 10 & 8 & 6\end{array}\)
Find the percentage of boxes containing at least 5 defective bolts each

A. 96
B. 94
C. 92
D. 90

Question 30:

• JAMB 1998

A man is paid r naira per hour for normal work and double rate for overtime. if he does a 35-hour week which includes q hours of overtime, what is his weekly earning in naira?

A. R(35 + q)
B. Q(35r - q)
C. Q(35 + r)
D. R(35 + 2q)