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Sachin is shopkeeper of whole sale items brought a sofa from a manufacturer at a certain price. He sold the sofa in his shop at P% profit. Had he bought the sofa at 20% less price from manufacturer and sold that article at (P+5)% profit. Difference of the two selling prices of the sofa is Rs 357. If the new selling price is Rs 1768, then the original cost price is?
A. Rs 850
B. Rs 1020
C. Rs 1500
D. Rs 1700
E. Rs 1800?
Most Upvoted Answer
Sachin is shopkeeper of whole sale items brought a sofa from a manufac...



Given Information:
- Sachin bought a sofa from a manufacturer at a certain price.
- He sold the sofa in his shop at P% profit.
- If he bought the sofa at 20% less price and sold it at (P+5)% profit, the difference in selling prices is Rs 357.
- The new selling price of the sofa is Rs 1768.

To Find:
- The original cost price of the sofa.



Let's Assume:
- Original cost price of the sofa = Rs X
- P% profit on the original cost price = (P/100) * X
- Selling price at P% profit = X + (P/100) * X = X(1 + P/100)
- Selling price at (P+5)% profit = X(1 + (P+5)/100) = X(1 + (P+5)/100)

Given Conditions:
- X(1 + P/100) - X(1 + (P+5)/100) = 357
- X(1 + P/100) - X(1 + (P+5)/100) = 357
- X(1 + P/100) - X(1 + P/100 + 5/100) = 357
- X(P/100 + 5/100) = 357
- X(P + 5)/100 = 357
- X(P + 5) = 35700

Given Condition 2:
- X(1 + P/100) = 1768

Solving the Equations:
- From Given Condition 2, we get: X = 1768 / (1 + P/100)
- Substituting X in X(P + 5) = 35700, we get: (1768 / (1 + P/100))(P + 5) = 35700
- Solving the above equation will give the value of P, which can be used to find the original cost price X.

Final Answer:
- The original cost price of the sofa can be calculated using the above method.
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Sachin is shopkeeper of whole sale items brought a sofa from a manufacturer at a certain price. He sold the sofa in his shop at P% profit. Had he bought the sofa at 20% less price from manufacturer and sold that article at (P+5)% profit. Difference of the two selling prices of the sofa is Rs 357. If the new selling price is Rs 1768, then the original cost price is?A. Rs 850B. Rs 1020C. Rs 1500D. Rs 1700E. Rs 1800?
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Sachin is shopkeeper of whole sale items brought a sofa from a manufacturer at a certain price. He sold the sofa in his shop at P% profit. Had he bought the sofa at 20% less price from manufacturer and sold that article at (P+5)% profit. Difference of the two selling prices of the sofa is Rs 357. If the new selling price is Rs 1768, then the original cost price is?A. Rs 850B. Rs 1020C. Rs 1500D. Rs 1700E. Rs 1800? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about Sachin is shopkeeper of whole sale items brought a sofa from a manufacturer at a certain price. He sold the sofa in his shop at P% profit. Had he bought the sofa at 20% less price from manufacturer and sold that article at (P+5)% profit. Difference of the two selling prices of the sofa is Rs 357. If the new selling price is Rs 1768, then the original cost price is?A. Rs 850B. Rs 1020C. Rs 1500D. Rs 1700E. Rs 1800? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sachin is shopkeeper of whole sale items brought a sofa from a manufacturer at a certain price. He sold the sofa in his shop at P% profit. Had he bought the sofa at 20% less price from manufacturer and sold that article at (P+5)% profit. Difference of the two selling prices of the sofa is Rs 357. If the new selling price is Rs 1768, then the original cost price is?A. Rs 850B. Rs 1020C. Rs 1500D. Rs 1700E. Rs 1800?.
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