Question 3 of 17intermediate🔧 ApplyNumerical4 marks

I have 100 coins in the ratio — no. of ₹10 coins: no. of ₹5 coins: no. of ₹2 coins: no. of ₹1 coins :: 4 : 3 : 2 : 1. How much money do I have in coins?

Correct Answer

Given: Total coins = 100 Ratio of ₹10 : ₹5 : ₹2 : ₹1 coins = 4 : 3 : 2 : 1

Step 1: Total parts = 4 + 3 + 2 + 1 = 10 parts Step 2: One part = 100 ÷ 10 = 10 coins Step 3: ₹10 coins = 4×104 \times 10 = 40 coins → 40 × ₹10 = ₹400 Step 4: ₹5 coins = 3×103 \times 10 = 30 coins → 30 × ₹5 = ₹150 Step 5: ₹2 coins = 2×102 \times 10 = 20 coins → 20 × ₹2 = ₹40 Step 6: ₹1 coins = 1×101 \times 10 = 10 coins → 10 × ₹1 = ₹10 Step 7: Total money = ₹400 + ₹150 + ₹40 + ₹10 = ₹600

Answer: ₹600

Exercise: Figure it Out (Section 1) | Q: 3 | (Page Page 6)
For More Understanding

Explanation

The chapter explains dividing quantities in ratio and then applying values. First find the number of each type of coin using the ratio, then multiply by the denomination value to get total money.

Solution Steps

  1. Step 1: Total parts = 4 + 3 + 2 + 1 = 10 parts

  2. Step 2: One part = 100 ÷ 10 = 10 coins

  3. Step 3: ₹10 coins = 4×104 \times 10 = 40 coins → 40 × ₹10 = ₹400

  4. Step 4: ₹5 coins = 3×103 \times 10 = 30 coins → 30 × ₹5 = ₹150

  5. Step 5: ₹2 coins = 2×102 \times 10 = 20 coins → 20 × ₹2 = ₹40

  6. Step 6: ₹1 coins = 1×101 \times 10 = 10 coins → 10 × ₹1 = ₹10

  7. Step 7: Total money = ₹400 + ₹150 + ₹40 + ₹10 = ₹600

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