There is direct variation between the sale of books and the commission received for the sale. The table below gives the values of some sales and some commissions. Write the remaining values and complete the table.

Question

Philoid · Accepted Answer

Let the missing values be x, y, z as shown

Let ‘a’ be a value in Sale and ‘b’ be a value in Commission

As there is direct variation between sale and communication

⇒ a ∝ b

⇒ a = kb

⇒ = k(constant)

When sale is 50 commission is 10 i.e. a = 50 and b = 10

⇒ = = 5 = k

∴ k = 5

For all value of sale and commission the constant k does not change since it is direct variation therefore

= = = k = 5

Consider = 5

∴ x = 50

Consider = 5

⇒ y = 125 × 5

∴ y = 625

Consider = 5

∴ z = 165

The table becomes