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After allowing a discount of 15%, the value of a washing machine is 29750. If no discount is allowed, the shopkeeper gains 12%. The cost price of the washing machine is:?
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After allowing a discount of 15%, the value of a washing machine is 29...
Understanding the Problem
To find the cost price of the washing machine, we first need to understand the given details:
- Selling price after a 15% discount is 29,750.
- The shopkeeper gains 12% if no discount is applied.
Calculating the Selling Price without Discount
1. Let the marked price (original price) of the washing machine be M.
2. After applying a 15% discount, the selling price (SP) becomes:
SP = M - (15% of M) = 0.85M.
3. According to the problem, this selling price is 29,750:
0.85M = 29,750.
Finding the Marked Price
4. To find the marked price (M), we rearrange the equation:
M = 29,750 / 0.85 = 35,000.
Calculating the Cost Price
5. The selling price when no discount is applied is M, which is 35,000.
6. Given that the shopkeeper gains 12%, we can express this as:
Selling Price = Cost Price + Gain.
Here, Gain = 12% of Cost Price.
7. Let the cost price be C. Therefore, we have:
35,000 = C + (12% of C) = C + 0.12C = 1.12C.
Solving for Cost Price
8. Rearranging gives us:
C = 35,000 / 1.12 = 31,250.
Conclusion
The cost price of the washing machine is 31,250.
To find the cost price of the washing machine, we first need to understand the given details:
- Selling price after a 15% discount is 29,750.
- The shopkeeper gains 12% if no discount is applied.
Calculating the Selling Price without Discount
1. Let the marked price (original price) of the washing machine be M.
2. After applying a 15% discount, the selling price (SP) becomes:
SP = M - (15% of M) = 0.85M.
3. According to the problem, this selling price is 29,750:
0.85M = 29,750.
Finding the Marked Price
4. To find the marked price (M), we rearrange the equation:
M = 29,750 / 0.85 = 35,000.
Calculating the Cost Price
5. The selling price when no discount is applied is M, which is 35,000.
6. Given that the shopkeeper gains 12%, we can express this as:
Selling Price = Cost Price + Gain.
Here, Gain = 12% of Cost Price.
7. Let the cost price be C. Therefore, we have:
35,000 = C + (12% of C) = C + 0.12C = 1.12C.
Solving for Cost Price
8. Rearranging gives us:
C = 35,000 / 1.12 = 31,250.
Conclusion
The cost price of the washing machine is 31,250.
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After allowing a discount of 15%, the value of a washing machine is 29750. If no discount is allowed, the shopkeeper gains 12%. The cost price of the washing machine is:?
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After allowing a discount of 15%, the value of a washing machine is 29750. If no discount is allowed, the shopkeeper gains 12%. The cost price of the washing machine is:? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about After allowing a discount of 15%, the value of a washing machine is 29750. If no discount is allowed, the shopkeeper gains 12%. The cost price of the washing machine is:? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for After allowing a discount of 15%, the value of a washing machine is 29750. If no discount is allowed, the shopkeeper gains 12%. The cost price of the washing machine is:?.
After allowing a discount of 15%, the value of a washing machine is 29750. If no discount is allowed, the shopkeeper gains 12%. The cost price of the washing machine is:? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about After allowing a discount of 15%, the value of a washing machine is 29750. If no discount is allowed, the shopkeeper gains 12%. The cost price of the washing machine is:? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for After allowing a discount of 15%, the value of a washing machine is 29750. If no discount is allowed, the shopkeeper gains 12%. The cost price of the washing machine is:?.
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