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Ratio & Proportion

· Examples

✏️ Worked Examples — Step by Step

E1
Easy

Divide ₹1200 in the ratio 2 : 3.

💡 Sum of ratio parts is the divisor.

👁 Show Solution
Total parts = 2 + 3 = 5
First share = (2/5) × 1200 = ₹480
Second share = (3/5) × 1200 = ₹720

✅ Answer: ₹480 and ₹720
₹480 and ₹720
E2
Medium

If a : b = 2 : 5 and b : c = 3 : 4, find a : c.

💡 Multiply (a/b) × (b/c) to chain ratios.

👁 Show Solution
a/b = 2/5, b/c = 3/4
a/c = (a/b) × (b/c) = (2/5) × (3/4) = 6/20 = 3/10

✅ Answer: 3 : 10
6 : 20 = 3 : 10
E3
Challenging

The mean proportional between 9 and 25 is:

💡 Mean proportional = √(a × c).

👁 Show Solution
Mean proportional = √(9 × 25) = √225 = 15

✅ Answer: 15
15