Raju has Rs. 210 in the form of coins `20%` of the coins are in Rs. `5,25%` in Rs. `10,15%` in Rs, 2 and the remaining ones in Rs. 1 denominations. Find the number of Rs. 1 coins

Options

A. 20
B. 25
C. 22
D. 24

Answer

To solve the problem step by step, we will first assume that the total number of coins Raju has is 100. This assumption helps us to easily calculate the number of coins in each denomination based on the given percentages.

### Step 1: Calculate the number of coins in each denomination
1. **Coins in Rs. 5**:
- 20% of 100 coins = 20 coins
2. **Coins in Rs. 10**:
- 25% of 100 coins = 25 coins
3. **Coins in Rs. 2**:
- 15% of 100 coins = 15 coins
4. **Coins in Rs. 1**:
- Remaining coins = 100 - (20 + 25 + 15) = 100 - 60 = 40 coins

### Step 2: Calculate the total value of coins
Now, we will calculate the total value contributed by each denomination:
1. **Value from Rs. 5 coins**:
- 20 coins × Rs. 5 = Rs. 100
2. **Value from Rs. 10 coins**:
- 25 coins × Rs. 10 = Rs. 250
3. **Value from Rs. 2 coins**:
- 15 coins × Rs. 2 = Rs. 30
4. **Value from Rs. 1 coins**:
- 40 coins × Rs. 1 = Rs. 40

### Step 3: Calculate the total value of all coins
Now, we sum up the values from all denominations:
- Total value = Rs. 100 + Rs. 250 + Rs. 30 + Rs. 40 = Rs. 420

### Step 4: Adjust for the actual total amount
The problem states that Raju has a total of Rs. 210. We found that with 100 coins, the total value is Rs. 420. Since Rs. 210 is half of Rs. 420, it implies that the number of coins must also be halved.

### Step 5: Calculate the number of Rs. 1 coins in the actual scenario
Since the number of coins is halved:
- Rs. 1 coins = 40 coins / 2 = 20 coins

### Final Answer
Thus, the number of Rs. 1 coins Raju has is **20**.

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