The prices of each article of types P.Q and R are Rs. 200, Rs. 300 and Rs. 400 respectively. Suresh buys each type of article in the ratio `1 : 2 : 3` for Rs. 2000. How many articles of type Q did he buy?

Options

A. 2
B. 3
C. 5
D. 4

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the Prices and Ratios
The prices of the articles are:
- Type P: Rs. 200
- Type Q: Rs. 300
- Type R: Rs. 400

Suresh buys these articles in the ratio of 1:2:3.

### Step 2: Define the Variables
Let the common multiplier for the ratio be \( K \). Then, the number of articles he buys can be expressed as:
- Articles of type P: \( 1K = K \)
- Articles of type Q: \( 2K \)
- Articles of type R: \( 3K \)

### Step 3: Calculate the Total Cost
The total cost can be calculated as follows:
\[ \text{Total Cost} = (\text{Cost of P}) + (\text{Cost of Q}) + (\text{Cost of R}) \]
Substituting the values:
\[ \text{Total Cost} = (200 \times K) + (300 \times 2K) + (400 \times 3K) \]
This simplifies to:
\[ \text{Total Cost} = 200K + 600K + 1200K = 2000K \]

### Step 4: Set Up the Equation
We know that Suresh spends Rs. 2000, so we can set up the equation:
\[ 2000K = 2000 \]

### Step 5: Solve for K
To find \( K \), divide both sides by 2000:
\[ K = \frac{2000}{2000} = 1 \]

### Step 6: Calculate the Number of Articles of Type Q
Now that we have \( K \), we can find the number of articles of type Q:
\[ \text{Articles of type Q} = 2K = 2 \times 1 = 2 \]

### Conclusion
Suresh bought **2 articles of type Q**.

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