Sure, let's solve this step by step.
### (a) Find the cost price of the article.
1. Given:
- Selling price (SP) of the article = Rs. 840
- Loss percentage = 16%
2. To find the cost price (CP) when there is a loss:
[tex]\[
\text{CP} = \frac{\text{SP}}{(1 - \text{Loss Percent}/100)}
\][/tex]
3. Plugging in the values:
[tex]\[
\text{CP} = \frac{840}{(1 - 16/100)}
\][/tex]
[tex]\[
\text{CP} = \frac{840}{0.84} = 1000
\][/tex]
So, the cost price of the article is Rs. 1000.
### (b) Find the cost price of 10 such articles.
1. Since the cost price of one article is Rs. 1000, the cost price of 10 articles would be:
[tex]\[
\text{CP}_{10} = 1000 \times 10 = 10000
\][/tex]
So, the cost price of 10 such articles is Rs. 10000.
### (c) If he had sold at a profit of 16%, what would be the selling price?
1. Given:
- Profit percentage = 16%
- Cost price (CP) = Rs. 1000
2. To find the selling price (SP) when there is a profit:
[tex]\[
\text{SP} = \text{CP} \times (1 + \text{Profit Percent}/100)
\][/tex]
3. Plugging in the values:
[tex]\[
\text{SP} = 1000 \times (1 + 16/100)
\][/tex]
[tex]\[
\text{SP} = 1000 \times 1.16 = 1160
\][/tex]
So, if he had sold the article at a profit of 16%, the selling price would be Rs. 1160.
