Abhi sold two articles for rs 5,220 each. On one, he gained 16% and on the other, he lost 10%. His profit or loss on the whole was :

Options

A. profit /rs 140
B. Loss /rs 125
C. profit / rs 180
D. Loss / rs 130

Answer

To solve the problem step by step, we need to calculate the cost price (CP) of each article based on the selling price (SP) and the profit or loss percentage. Then, we will find the total cost price and total selling price to determine the overall profit or loss.

### Step 1: Calculate the Cost Price of the First Article
Given:
- Selling Price (SP) of the first article = Rs 5,220
- Gain = 16%

Using the formula for Cost Price (CP) when there is a gain:
\[ CP = \frac{SP \times 100}{100 + \text{Gain}} \]

Substituting the values:
\[ CP_1 = \frac{5220 \times 100}{100 + 16} = \frac{5220 \times 100}{116} \]

Calculating:
\[ CP_1 = \frac{522000}{116} \]
\[ CP_1 = 4500 \]

### Step 2: Calculate the Cost Price of the Second Article
Given:
- Selling Price (SP) of the second article = Rs 5,220
- Loss = 10%

Using the formula for Cost Price (CP) when there is a loss:
\[ CP = \frac{SP \times 100}{100 - \text{Loss}} \]

Substituting the values:
\[ CP_2 = \frac{5220 \times 100}{100 - 10} = \frac{5220 \times 100}{90} \]

Calculating:
\[ CP_2 = \frac{522000}{90} \]
\[ CP_2 = 5800 \]

### Step 3: Calculate Total Cost Price and Total Selling Price
Now, we can find the total cost price (CP) and total selling price (SP) of both articles.

Total Cost Price (CP):
\[ CP_{\text{total}} = CP_1 + CP_2 = 4500 + 5800 = 10300 \]

Total Selling Price (SP):
\[ SP_{\text{total}} = SP_1 + SP_2 = 5220 + 5220 = 10440 \]

### Step 4: Calculate Profit or Loss
Now, we can find the overall profit or loss:
\[ \text{Profit or Loss} = SP_{\text{total}} - CP_{\text{total}} \]
\[ \text{Profit or Loss} = 10440 - 10300 = 140 \]

Since the result is positive, it indicates a profit.

### Final Answer
Abhi made a profit of Rs 140.

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