CBSE Class 8 Mathematics
Question 10 of 12
Proportional Reasoning 1 — Question 10
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Question One acre of land costs ₹ 15,00,000. What is the cost of 2,400 square feet of the same land?
We know that 1 acre = 43,560 square feet. ∴ Cost of 43,560 sq. ft. land = ₹ 15,00,000 ∴ Ratio of area of land to cost = 43,560 : 15,00,000 Let the cost of 2,400 sq. ft. of land be ₹ x. ∴ Ratio of area of land to cost = 2,400 : x These ratios are proportional. ∴ 43,560 : 15,00,000 :: 2,400 : x ⇒ \(\frac{43,560}{15,00,000}=\frac{2,400}{x}\) ⇒ 43,560x = 2,400 × 15,00,000 ⇒ x = \(\frac{2,400 \times 15,00,000}{43,560}\) ⇒ x = 82,664.63 ∴ Cost of land = ₹ 82,664.63.