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Question 73
If a carpenter increases each edge of a square wooden piece from 42 cm to 45 cm, the cost of wood is increased by ₹ 783. What is the rate of wood per sq. cm?
Solution
Area of old wooden piece = $$42^2 = 1764 cm^2$$
Area of new wooden piece = $$45^2 = 2025 cm^2$$
Increase in area = $$2025 - 1764 = 261 cm^2$$
Increase in price = Rs.783
Price for $$261 cm^2$$ = Rs.783
Then, Price for $$1 cm^2 = \dfrac{783}{261} = Rs.3$$
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