Question 18 of 22intermediate🔧 ApplyNumerical2 marks

One acre of land costs ₹15,00,000. What is the cost of 2,400 square feet of the same land?

Correct Answer

Given: 1 acre = 43,560 sq. ft costs ₹15,00,000

Proportion: 43,560 sq. ft : ₹15,00,000 :: 2,400 sq. ft : ₹x

Calculation: x = (₹15,00,000×2000 \times 2,400) ÷ 43,560 x = 3,60,00,00,000 ÷ 43,560 x ≈\approx ₹82,645

Answer: The cost of 2,400 square feet of land is approximately ₹82,645.

Exercise: Figure it Out (Section 4) | Q: 10 | (Page Page 19)
For More Understanding

Explanation

Use the conversion 1 acre = 43,560 sq. ft. Set up proportion to find the cost of 2,400 sq. ft.

Solution Steps

  1. Step 1: Given: 1 acre = 43,560 sq. ft costs ₹15,00,000

  2. Step 2: Set up proportion: 43,560 sq. ft : ₹15,00,000 :: 2,400 sq. ft : ₹x

  3. Step 3: x = (15,00,000×2000 \times 2,400) ÷ 43,560

  4. Step 4: x = 3,60,00,00,000 ÷ 43,560 ≈\approx ₹82,645

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