Question 6 of 22beginner🔧 ApplyNumerical2 marks

Divide ₹4,500 into two parts in the ratio 2 : 3.

Correct Answer

Given: Total amount = ₹4,500, Ratio = 2 : 3

Formula: First part = m/(m+n) × total Second part = n/(m+n) × total

Step 1: Total parts = 2 + 3 = 5

Step 2: First part = (2/5) × 4500 = 9000/5 = ₹1,800

Step 3: Second part = (3/5) × 4500 = 13500/5 = ₹2,700

Step 4: Verify: 1800 + 2700 = 4500 and 1800:2700 = 2:3

Answer: The two parts are ₹1,800 and ₹2,700.

Exercise: Figure it Out (Section 3) | Q: 1 | (Page Page 17)
For More Understanding

Explanation

When dividing a quantity in ratio m:n, the first part is m/(m+n) × total and the second part is n/(m+n) × total.

Solution Steps

  1. Step 1: Total parts = 2 + 3 = 5

  2. Step 2: First part = (2/5) × 4500 = 9000/5 = ₹1,800

  3. Step 3: Second part = (3/5) × 4500 = 13500/5 = ₹2,700

  4. Step 4: Verify: 1800 + 2700 = 4500 and 1800:2700 = 2:3

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