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Question
The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.
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Solution
\[\text { Let the cost price of one article be Rs . C and the selling price be Rs . S }\]
\[ \text { Therefore, }10C = 9S\]
\[C = \frac{9}{10}S\]
\[\text { So, the cost price is less than the selling price }. \]
\[S . P . = \left( \frac{100 + \text { Profit } %}{100} \right)C . P\]
\[S = \left( \frac{100 +\text { Profit } %}{100} \right)C\]
\[\frac{S}{C} = \left( \frac{100 +\text { Profit } %}{100} \right)\]
\[\frac{10}{9} = \left( \frac{100 + \text { Profit } %}{100} \right)\]
\[\frac{1000}{9} = 100 + \text { Profit } % \]
\[\frac{1000}{9} - 100 = \text { Profit } % \]
\[\text { Profit % }= \frac{1000 - 900}{9}\]
\[ = 11\frac{1}{9}\]
\[\text { Therefore, the required profit percent is 11 }\frac{1}{9} \]%.
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Fill up the appropriate boxes in the following table
| SI. No | C.P. in ₹ |
S.P. in ₹ |
Profit in ₹ |
Loss in ₹ |
| (i) | 100 | 120 | ||
| (ii) | 110 | 120 | ||
| (iii) | 120 | 20 | ||
| (iv) | 100 | 90 | ||
| (v) | 120 | 25 |
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A man purchased a bicycle for Rs 1,040 and sold it for Rs 800. His gain per cent is 30%.
Sanjay is looking for one-bedroom apartment on rent. At Neelgiri apartments, rent for the first two months is 20% off. The one-bedroom rate at Neelgiri is Rs 6,000 per month. At Savana apartments, the first month is 50% off. The one-bedroom rate at Savana apartments is Rs 7000 per month. Which apartment will be cheaper for the first two months? By how much?
