The cost of an article worth 100 is increased by 10% first and again Increased by 10%. The total increase in rupees is

Options

A. 20
B. 21
C. 110
D. 121

Answer

To solve the problem step by step, we will calculate the total increase in the cost of an article that is initially worth 100, after two successive increases of 10%.

### Step 1: Calculate the first increase
The initial cost of the article is 100. The first increase is 10% of this amount.

\[ \text{First Increase} = 10\% \text{ of } 100 = \frac{10}{100} \times 100 = 10 \]

### Step 2: Calculate the new cost after the first increase
Now, we add the first increase to the initial cost to find the new cost.

\[ \text{New Cost after First Increase} = 100 + 10 = 110 \]

### Step 3: Calculate the second increase
Next, we need to calculate the second increase, which is also 10%, but this time it is 10% of the new cost (110).

\[ \text{Second Increase} = 10\% \text{ of } 110 = \frac{10}{100} \times 110 = 11 \]

### Step 4: Calculate the new cost after the second increase
Now, we add the second increase to the new cost after the first increase.

\[ \text{New Cost after Second Increase} = 110 + 11 = 121 \]

### Step 5: Calculate the total increase in rupees
Finally, we find the total increase in cost by subtracting the original cost from the new cost after both increases.

\[ \text{Total Increase} = \text{New Cost after Second Increase} - \text{Original Cost} = 121 - 100 = 21 \]

### Final Answer
The total increase in rupees is **21**.

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