Class 8 Exam > Class 8 Questions > A bicycle is sold at a gain of 16%.Had it bee...
Start Learning for Free
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
Verified Answer
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
This question is part of UPSC exam. View all Class 8 courses
Most Upvoted Answer
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.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
|
Explore Courses for Class 8 exam
|
|
Top Courses for Class 8View all
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
Question Description
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 2024 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 2024 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 2024 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 2024 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.
Solutions 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 in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of 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 defined & explained in the simplest way possible. Besides giving the explanation of
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 detailed solution 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 has been provided alongside types of 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 theory, EduRev gives you an
ample number of questions to practice 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 tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup