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प्रश्न
If the cost price of 18 chairs be equal to selling price of 16 chairs, find the gain or loss percent.
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उत्तर
\[\text { Let the cost price of one chair be Rs . C, and selling price be Rs } . S \]
\[\text { Therefore, }18C = 16S\]
\[C = \frac{16}{18}S\]
\[\text { As cost price is less than the selling price }, \]
\[S . P . = \left( \frac{100 +\text { profit % }}{100} \right)C . P\]
\[S = \left( \frac{100 + \text { profit % }}{100} \right)C\]
\[\frac{S}{C} = \left( \frac{100 + \text { profit % }}{100} \right)\]
\[\frac{18}{16} = \left( \frac{100 +\text { profit % }}{100} \right)\]
\[\frac{1800}{16} = 100 + \text { profit %} \]
\[\frac{1800}{16} - 100 = \text { profit % } \]
\[\text { Profit % } = \frac{1800 - 1600}{16}\]
\[ = \frac{200}{16}\]
\[ = 12 . 5\]
\[\text { Therefore, the required profit percent is 12 . 5 % }. \]
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By selling a book for ₹ 50, a shopkeeper suffers a loss of 10%. The cost price of the book is ₹ 60.
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 |
