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प्रश्न
A cycle merchant allows 20% discount on the marked price of the cycles and still makes a profit of 20%. If he gains Rs 360 over the sale of one cycle, find the marked price of the cycle.
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उत्तर
\[\text { Given }, \]
\[\text { Gain on one cycle = Rs . } 360\]
\[\text { Gain = 20 % }\]
\[\text { Gain % } = \frac{\text { Gain }}{CP} \times 100\]
\[20 = \frac{360}{CP} \times 100\]
\[CP = Rs . 1800\]
\[SP = \frac{100 + \text { Gain % }}{100} \times CP\]
\[SP = \frac{120}{100} \times 1800 = Rs . 2160\]
\[\text { SP = Rs } . 2160\]
\[\text { Discount = 20 % } \]
\[\text { MP } = \frac{100 \times SP}{100 -\text { Discount % }}\]
\[\text { MP }= \frac{100 \times 2160}{80} = Rs . 2700\]
\[\text { Hence, the MP of one cycle is Rs } . 2700 .\]
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| 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% |
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| (ix) Profit% when CP = ₹ 40 and SP = ₹ 50 | (I) ₹ 159 |
| (x) Profit% when CP = ₹ 50 and SP = ₹ 60 | (J) `66 2/3%` |
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| (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 |
