If P and Q shared ₹1300 in the ratio 12:1, how much did Q get?

Options

A. 120
B. 1200
C. 100
D. 1000

Answer

To solve the problem of how much Q received when P and Q shared ₹1300 in the ratio of 12:1, we can follow these steps:

### Step 1: Understand the Ratio
The ratio of P to Q is given as 12:1. This means for every 12 parts that P receives, Q receives 1 part.

### Step 2: Calculate the Total Parts
To find the total number of parts in the ratio, we add the parts of P and Q together:
\[ \text{Total parts} = 12 + 1 = 13 \]

### Step 3: Determine the Value of Each Part
Next, we need to find the value of each part. Since P and Q together share ₹1300, we can calculate the value of one part by dividing the total amount by the total number of parts:
\[ \text{Value of one part} = \frac{1300}{13} = 100 \]

### Step 4: Calculate Q's Share
Now that we know the value of one part, we can find out how much Q received. Since Q's share is 1 part:
\[ \text{Q's share} = 1 \times 100 = 100 \]

### Conclusion
Therefore, Q received ₹100.

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