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प्रश्न
A tricycle is sold at a gain of 16%. Had it been sold for Rs 100 more, the gain would have been 20%. Find the C.P. of the tricycle.
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उत्तर
\[\text { Let the S . P of the tricycle be Rs . x and C . P be Rs } . y \]
\[\text { Gain % = 16 % } \]
\[\text { S . P = C . P }\left( \frac{100 + \text { gain % }}{100} \right)\]
\[\text { Then we have, } \]
\[\text { x = y } + \left( \frac{y \times 16}{100} \right)\]
\[\text { x = y + 0 . 16y }\]
\[x = 1 . 16y\]
\[\text { When S . P increases by Rs . 100, we get }\]
\[ \Rightarrow x + 100 = y + \left( \frac{y \times 20}{100} \right)\]
\[\text { Putting x = 1 . 6y, we get }\]
\[ \Rightarrow 1 . 16y + 100 = y + 0 . 2y\]
\[1 . 16y + 100 = 1 . 2y\]
\[0 . 04y = 100\]
\[y = \frac{100}{0 . 04}\]
\[ = 2500\]
\[\text { Thus, C . P of the tricycle is Rs } . 2500 .\]
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संबंधित प्रश्न
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Using the figures given below, frame problems based on profit percent or loss percent.
Cost price ₹ 2000, selling price ₹ 1900
Some articles are bought at 2 for ₹ 15 and sold at 3 for ₹ 25. Find the gain percentage
By selling a speaker for ₹ 768, a man loses 20%. In order to gain 20%, how much should he sell the speaker?
Fill up the appropriate boxes in the following table.
| SI. No | C.P. in ₹ |
M.P. in ₹ |
S.P. in ₹ |
Discount in ₹ |
Profit in ₹ |
Loss in ₹ |
| (i) | 110 | 130 | Nil | |||
| (ii) | 110 | 130 | 10 | |||
| (iii) | 110 | 130 | 30 | |||
| (iv) | 110 | 120 | Nil | 10 | ||
| (v) | 120 | 10 | 20 | Nil |
A vendor purchased 720 lemons at ₹ 120 per hundred.10% of the lemons were found rotten which he sold at ₹ 50 per hundred. If he sells the remaining lemons at ₹ 125 per hundred, then his profit will be 16%.
