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A carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the labour charges are Rs. 200/hr. For how many hours did the carpenter work?

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Question

A carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the labour charges are Rs. 200/hr. For how many hours did the carpenter work?

Sum
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Solution

Let the carpenter worked for x h.

Given, labour charge = ₹ 200 per hour

Then, total labour charge = ₹ 200x

As, amount charged by carpenter for making a bed

= Cost of materials + Total labour charge

∴ 2500 = 1100 + 200x

⇒ 200x = 2500 – 1100

⇒ 200x = 1400

⇒ x = `1400/200` = 7

Hence, the carpenter worked for 7 h.

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Chapter 4: Linear Equation In One Variable - Exercise [Page 120]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 4 Linear Equation In One Variable
Exercise | Q 109. | Page 120

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