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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?
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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
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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?
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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?.
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