In a bag, coins of 25 paise, 10 paise, and 5 paise are in the ratio 1 : 2 : 3. If the total amount is ₹30, how many 5 paise coins are there?

Problem restatement
The numbers of 25p, 10p, and 5p coins are in the ratio 1 : 2 : 3. The total value is ₹30 (= 3000 paise). Find the count of 5p coins.

Given data

• Counts (25p : 10p : 5p) = 1 : 2 : 3 → let them be x, 2x, 3x.
• Total value = 3000 paise.
• Coin values: 25p, 10p, 5p.

Concept/Approach
Total value (in paise) equals the sum of (number × denomination) across coin types. Solve for x, then compute 3x for 5p coins.

Step-by-step calculation
Total value = 25x + 10(2x) + 5(3x) = 25x + 20x + 15x = 60x 60x = 3000 ⇒ x = 3000 ÷ 60 = 50 5p coins = 3x = 3 × 50 = 150

Verification/Alternative
Check value: 25×50 + 10×100 + 5×150 = 1250 + 1000 + 750 = 3000 paise = ₹30.

Common pitfalls

• Using ₹30 directly without converting to paise; the ratio is on counts, but values must be in paise.

Final Answer
150