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A man sold an article for Rs. 840 at a loss of 16%.

(a) Find the cost price of the article.
(b) Find the cost price of 10 such articles.
(c) If he had sold at a profit of 16%, what would be the selling price of the article?



Answer :

GinnyAnswer
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.

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