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प्रश्न
The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.
उत्तर
\[\text { Let the cost price of one article be Rs . C and the selling price be Rs . S }\]
\[ \text { Therefore, }10C = 9S\]
\[C = \frac{9}{10}S\]
\[\text { So, the cost price is less than the selling price }. \]
\[S . P . = \left( \frac{100 + \text { Profit } %}{100} \right)C . P\]
\[S = \left( \frac{100 +\text { Profit } %}{100} \right)C\]
\[\frac{S}{C} = \left( \frac{100 +\text { Profit } %}{100} \right)\]
\[\frac{10}{9} = \left( \frac{100 + \text { Profit } %}{100} \right)\]
\[\frac{1000}{9} = 100 + \text { Profit } % \]
\[\frac{1000}{9} - 100 = \text { Profit } % \]
\[\text { Profit % }= \frac{1000 - 900}{9}\]
\[ = 11\frac{1}{9}\]
\[\text { Therefore, the required profit percent is 11 }\frac{1}{9} \]%.
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In case of gain, S.P. = `((100 + "gain"%) xx "C.P.")/100`.
The original price of a shampoo bottle bought for Rs 324 if 8% VAT is included in the price is Rs 300.
On selling a chair for Rs 736, a shopkeeper suffers a loss of 8%. At what price should he sell it so as to gain 8%?
Match the entries in Column I with the appropriate entries in Column II:
| Column I | Column II |
| (i) 3:5 | (A) ₹ 54 |
| (ii) 2.5 | (B) ₹ 47 |
| (iii) 100% | (C) ₹ 53 |
| (iv) `2/3` | (D) ₹ 160 |
| (v) `6 1/4%` | (E) 60% |
| (vi) 12.5% | (F) 25% |
| (vii) SP when CP = ₹ 50 and loss = 6 % | (G) `1/16` |
| (viii) SP when CP = ₹ 50 and profit = ₹ 4 | (H) 250% |
| (ix) Profit% when CP = ₹ 40 and SP = ₹ 50 | (I) ₹ 159 |
| (x) Profit% when CP = ₹ 50 and SP = ₹ 60 | (J) `66 2/3%` |
| (xi) Interest when principal = ₹ 800, Rate of interest = 10% per annum nd period = 2 years |
(K) 20% |
| (xii) Amount when principal = ₹ 150, Rate of interest = 6% per annum and period = 1 year |
(L) 0.125 |
| (M) 3:2 | |
| (N) ₹ 164 | |
| (O) 3:3 |
