Example 1 The cost of 5 metres of a particular quality of cloth is Rs 210. Tabulate the cost of 2, 4, 10 and 13 metres of cloth of the same type.
Given cost of 5 metres of cloth = ₹ 210
We need to find cost of 2, 4, 10, 13 meters of cloth
Let’s draw a table
Finding cost of 2 meters of cloth
Let the Cost of cloth = Rs y
As quantity of cloth increases, its cost also increases.
∴ Quantity and cost are in direct proportion.
5/210 = 2/𝑦
𝑦 × 5 = 2 × 210
𝑦 × 5 = 420
𝑦 = 420/5 = 84
∴ Cost of 2 metres of cloth = Rs 84
Finding cost of 4 meters of cloth
Let the Cost of cloth = Rs y
Since Quantity and cost are in direct proportion.
5/210 = 4/𝑦
𝑦 × 5 = 4 × 210
𝑦 × 5 = 840
𝑦 = 840/5
𝑦 = 168
∴ Cost of 4 metres of cloth = Rs 168
Finding cost of 10 meters of cloth
Let the Cost of cloth = Rs y
Since Quantity and cost are in direct proportion.
5/210 = 10/𝑦
𝑦 × 5 = 10 × 210
𝑦 × 5 = 2100
𝑦 = 2100/5
𝑦 = 420
∴ Cost of 10 metres of cloth = Rs 420
Finding cost of 13 meters of cloth
Let the Cost of cloth = Rs y
Since Quantity and cost are in direct proportion.
5/210 = 13/𝑦
𝑦 × 5 = 13 × 210
𝑦 = (13 × 210)/5
𝑦 = 13 × 42
y = 546
∴ Cost of 13 metres of cloth = Rs 546
Thus, our table looks like

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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