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A bicycle is sold at a gain of 16%.Had it been sold Rs. 100 more,than gain would have been 20% .Find the C.P. of bicycle. Hint : C.P. =100
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A bicycle is sold at a gain of 16%.Had it been sold Rs. 100 more,than ...
Let Cost= 100X Rs.
after 16% gain S.p. = 116X
After 20% Profit S.p. = 120X
acc. to que.
120X-116X = 100Rs
4X = 100
X=100/4 = 25
so cost price = 100 * 25= 2500 Rs
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A bicycle is sold at a gain of 16%.Had it been sold Rs. 100 more,than ...
Problem:
A bicycle is sold at a gain of 16%. Had it been sold Rs. 100 more, the gain would have been 20%. Find the cost price (C.P.) of the bicycle.
Solution:
Let's assume the cost price (C.P.) of the bicycle is 'x' rupees.
Given:
Gain percentage = 16%
If sold for Rs. 100 more, gain percentage = 20%
Calculating the Selling Price (S.P.):
The gain percentage is given by the formula:
Gain Percentage = (Profit / C.P.) * 100
We can rearrange the formula to find the profit:
Profit = (Gain Percentage * C.P.) / 100
Using this formula, we can calculate the selling price (S.P.) of the bicycle:
S.P. = C.P. + Profit
Calculating the Selling Price (S.P.) when gain percentage is 16%:
Profit = (16 * x) / 100
S.P. = x + (16 * x) / 100
Calculating the Selling Price (S.P.) when gain percentage is 20%:
If the bicycle is sold for Rs. 100 more, the new selling price (S.P.) would be:
S.P. + Rs. 100
The new profit would be:
Profit = (20 * x) / 100
Therefore, the new selling price (S.P.) is given by:
S.P. + Rs. 100 = x + (20 * x) / 100
Equating the two selling prices:
Since the selling price (S.P.) is the same in both cases, we can equate the two equations:
x + (16 * x) / 100 = x + (20 * x) / 100 - Rs. 100
Simplifying the equation:
16x / 100 = 20x / 100 - Rs. 100
16x - 20x = -10000
-4x = -10000
x = -10000 / -4
x = 2500
Therefore, the cost price (C.P.) of the bicycle is Rs. 2500.
A bicycle is sold at a gain of 16%. Had it been sold Rs. 100 more, the gain would have been 20%. Find the cost price (C.P.) of the bicycle.
Solution:
Let's assume the cost price (C.P.) of the bicycle is 'x' rupees.
Given:
Gain percentage = 16%
If sold for Rs. 100 more, gain percentage = 20%
Calculating the Selling Price (S.P.):
The gain percentage is given by the formula:
Gain Percentage = (Profit / C.P.) * 100
We can rearrange the formula to find the profit:
Profit = (Gain Percentage * C.P.) / 100
Using this formula, we can calculate the selling price (S.P.) of the bicycle:
S.P. = C.P. + Profit
Calculating the Selling Price (S.P.) when gain percentage is 16%:
Profit = (16 * x) / 100
S.P. = x + (16 * x) / 100
Calculating the Selling Price (S.P.) when gain percentage is 20%:
If the bicycle is sold for Rs. 100 more, the new selling price (S.P.) would be:
S.P. + Rs. 100
The new profit would be:
Profit = (20 * x) / 100
Therefore, the new selling price (S.P.) is given by:
S.P. + Rs. 100 = x + (20 * x) / 100
Equating the two selling prices:
Since the selling price (S.P.) is the same in both cases, we can equate the two equations:
x + (16 * x) / 100 = x + (20 * x) / 100 - Rs. 100
Simplifying the equation:
16x / 100 = 20x / 100 - Rs. 100
16x - 20x = -10000
-4x = -10000
x = -10000 / -4
x = 2500
Therefore, the cost price (C.P.) of the bicycle is Rs. 2500.
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A bicycle is sold at a gain of 16%.Had it been sold Rs. 100 more,than gain would have been 20% .Find the C.P. of bicycle. Hint : C.P. =100
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A bicycle is sold at a gain of 16%.Had it been sold Rs. 100 more,than gain would have been 20% .Find the C.P. of bicycle. Hint : C.P. =100 for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A bicycle is sold at a gain of 16%.Had it been sold Rs. 100 more,than gain would have been 20% .Find the C.P. of bicycle. Hint : C.P. =100 covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bicycle is sold at a gain of 16%.Had it been sold Rs. 100 more,than gain would have been 20% .Find the C.P. of bicycle. Hint : C.P. =100.
A bicycle is sold at a gain of 16%.Had it been sold Rs. 100 more,than gain would have been 20% .Find the C.P. of bicycle. Hint : C.P. =100 for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A bicycle is sold at a gain of 16%.Had it been sold Rs. 100 more,than gain would have been 20% .Find the C.P. of bicycle. Hint : C.P. =100 covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bicycle is sold at a gain of 16%.Had it been sold Rs. 100 more,than gain would have been 20% .Find the C.P. of bicycle. Hint : C.P. =100.
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