Question

(1) If the wages for 4 hours of work are Rs 32, what are the wages for 8 hours of work?

(2) If 16 bicycles cost Rs 17,250, what will be the cost of 18 such bicycles?

Answer 1

(1) Wages paid for 4 hours is Rs 32.
Let wages paid for 8 hours be Rs x.
The given information can be represented in the following table:

Wages paid (in Rs): x	32	x
Number of hours : y	4	8

Here, wages paid and number of hours are in direct proportion because wages paid will increase with an increase in number of hours. In direct variation, the ratio of the wages paid to the number of hours must be constant,i.e.
$$\begin{gathered} \frac{x_1}{y_1}=\frac{x_2}{y_2} \\ \therefore \frac{32}{4}=\frac{x}{8} \\ x=\frac{32}{4}\times 8=\mathrm{Rs}64 \end{gathered}$$

Thus, wages paid for 8 hours is Rs 64.

(2) The cost of 16 bicycles is Rs 17,520.
Let the cost of 18 bicycles be Rs x.
The given information can be represented in the following table:

Cost of bicycles (in Rs): x	17520	x
Number of bicycles : y	16	18

Here, cost of bicycle and number bicycles are in direct proportion because cost of bicycles will increase with an increase in the number of bicycles. In direct variation, the ratio of the cost of bicycles to the number of bicycles must be constant,i.e.
$$\begin{gathered} \frac{x_1}{y_1}=\frac{x_2}{y_2} \\ \therefore \frac{17520}{16}=\frac{x}{18} \\ x=\frac{17250}{16}\times 18=\mathrm{Rs}19710 \end{gathered}$$
Thus, cost of 18 bicycles is Rs 19,710.