Class 8 Exam > Class 8 Questions > Nidhi purchased two saree for rupees 2150 eac...
Start Learning for Free
Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree?
Most Upvoted Answer
Nidhi purchased two saree for rupees 2150 each she sold one saree at a...
Given:
- Nidhi purchased two sarees for Rs. 2150 each.
- She sold one saree at a loss of 8%.
- She had a gain of Rs. 1230 on the whole transaction.
To find:
- Selling price of the second saree.
Solution:
Let's denote the cost price of each saree as C.
Step 1: Calculating the cost price (C) of each saree
- Nidhi purchased two sarees for Rs. 2150 each.
- Therefore, the cost price (C) of each saree is Rs. 2150.
Step 2: Calculating the selling price (S) of the first saree
- Nidhi sold one saree at a loss of 8%.
- Loss percentage = 8%
- Loss amount = (8/100) * C
- Selling price (S) of the first saree = C - Loss amount = C - (8/100) * C
- S = C(1 - 8/100) = C(92/100) = 0.92C
Step 3: Calculating the selling price (S) of the second saree
- Nidhi had a gain of Rs. 1230 on the whole transaction.
- Total gain = Rs. 1230
- Total gain = Gain on the first saree + Gain on the second saree
- Gain on the second saree = Total gain - Gain on the first saree
- Gain on the second saree = Rs. 1230 - Loss on the first saree = Rs. 1230 - (C - S)
- Gain percentage = (Gain on the second saree / C) * 100
- Gain percentage = ((Rs. 1230 - (C - S)) / C) * 100
Step 4: Equating the gain percentage
- Gain percentage = (Gain on the second saree / C) * 100
- ((Rs. 1230 - (C - S)) / C) * 100 = Gain percentage
Step 5: Substituting the values and solving the equation
- ((Rs. 1230 - (C - S)) / C) * 100 = Gain percentage
- ((Rs. 1230 - (C - 0.92C)) / C) * 100 = Gain percentage
- ((Rs. 1230 - 0.08C) / C) * 100 = Gain percentage
- ((1230 - 0.08C) / C) * 100 = Gain percentage
Step 6: Simplifying the equation and finding the value of C
- Cross multiplying and simplifying the equation, we get:
- 1230 - 0.08C = (Gain percentage / 100) * C
- 1230 = (Gain percentage / 100) * C + 0.08C
- 1230 = (Gain percentage / 100 + 0.08) * C
- C = 1230 / (Gain percentage / 100 + 0.08)
Step 7: Calculating
- Nidhi purchased two sarees for Rs. 2150 each.
- She sold one saree at a loss of 8%.
- She had a gain of Rs. 1230 on the whole transaction.
To find:
- Selling price of the second saree.
Solution:
Let's denote the cost price of each saree as C.
Step 1: Calculating the cost price (C) of each saree
- Nidhi purchased two sarees for Rs. 2150 each.
- Therefore, the cost price (C) of each saree is Rs. 2150.
Step 2: Calculating the selling price (S) of the first saree
- Nidhi sold one saree at a loss of 8%.
- Loss percentage = 8%
- Loss amount = (8/100) * C
- Selling price (S) of the first saree = C - Loss amount = C - (8/100) * C
- S = C(1 - 8/100) = C(92/100) = 0.92C
Step 3: Calculating the selling price (S) of the second saree
- Nidhi had a gain of Rs. 1230 on the whole transaction.
- Total gain = Rs. 1230
- Total gain = Gain on the first saree + Gain on the second saree
- Gain on the second saree = Total gain - Gain on the first saree
- Gain on the second saree = Rs. 1230 - Loss on the first saree = Rs. 1230 - (C - S)
- Gain percentage = (Gain on the second saree / C) * 100
- Gain percentage = ((Rs. 1230 - (C - S)) / C) * 100
Step 4: Equating the gain percentage
- Gain percentage = (Gain on the second saree / C) * 100
- ((Rs. 1230 - (C - S)) / C) * 100 = Gain percentage
Step 5: Substituting the values and solving the equation
- ((Rs. 1230 - (C - S)) / C) * 100 = Gain percentage
- ((Rs. 1230 - (C - 0.92C)) / C) * 100 = Gain percentage
- ((Rs. 1230 - 0.08C) / C) * 100 = Gain percentage
- ((1230 - 0.08C) / C) * 100 = Gain percentage
Step 6: Simplifying the equation and finding the value of C
- Cross multiplying and simplifying the equation, we get:
- 1230 - 0.08C = (Gain percentage / 100) * C
- 1230 = (Gain percentage / 100) * C + 0.08C
- 1230 = (Gain percentage / 100 + 0.08) * C
- C = 1230 / (Gain percentage / 100 + 0.08)
Step 7: Calculating
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
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree?
Question Description
Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree? 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 Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree?.
Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree? 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 Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree?.
Solutions for Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree? 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 Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree? defined & explained in the simplest way possible. Besides giving the explanation of
Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree?, a detailed solution for Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree? has been provided alongside types of Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree? theory, EduRev gives you an
ample number of questions to practice Nidhi purchased two saree for rupees 2150 each she sold one saree at a loss of 8% and the other at gain if she had a gain of rupees 1230 on the whole transaction find the selling price of the second saree? 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