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Question

An article was sold for ₹945, at a loss of 10%. What was the cost price of the article?

This question was previously asked in
RRB ALP/Technician 2018 CBT 2 Electronics Mechanic Question Paper (23-Jan-2019) (Shift 1)
The correct answer is
₹1,050

Article Cost Price Calculation

This solution explains how to find the original Cost Price (CP) of an article given its Selling Price (SP) and the percentage loss incurred.

Problem Details

  • Selling Price (SP): ₹945
  • Loss Percentage: 10%
  • Objective: Determine the Cost Price (CP)

Cost Price Formula

We use the formula that relates SP, CP, and Loss Percentage:

\(SP = CP \times (1 - \frac{Loss\%}{100})\)

Calculate Cost Price Step-by-Step

  1. Input the given values into the formula:

    \(₹945 = CP \times (1 - \frac{10}{100})\)

  2. Simplify the calculation term:

    \(₹945 = CP \times (1 - 0.10)\)

    \(₹945 = CP \times 0.90\)

  3. Isolate CP by dividing the SP by the factor:

    \(CP = \frac{₹945}{0.90}\)

  4. Perform the division to find the Cost Price:

    \(CP = ₹1,050\)

Final Cost Price

Therefore, the Cost Price of the article was ₹1,050.

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Similar Questions

  1. A dishonest dealer professes to sell goods at the cost price, but uses a false weight of 900 grams instead of a kilogram. His gain percentage is:

  2. A dishonest shopkeeper pretends to sell his goods at cost price. However, he uses a false weight on which 984 gm is written, but actually weighs lesser. Using this false weight, the shopkeeper makes a gain of 23%. The actual measure of the weight used is:

  3. Rakesh starts a business with a capital of ₹2,50,000. He incurs a loss of 5% during the first year. However, he makes a profit of 4% on his remaining investment during the second year. Finally, he makes a profit of 20% on his new capital during the third year. Find his total profit at the end of three years.

  4. A man purchased two varieties of apples at the rate of ₹4 for 5 apples and ₹4 per apple, respectively. If he purchased an equal number of apples of each variety and then sold all the apples at ₹3 per apple, what will be his profit percentage?
  5. An article is sold at a profit of 38%. If the cost price is increased by ₹68 and the selling price is reduced by ₹54, then the profit would be 37.5%. What is the original cost price (in ₹) of the article?
  6. A shopkeeper sells an item for ₹689.7 after giving two successive discounts of 75% and 34% on its marked price. Had he not given any discount, he would have earned a profit of 76%. What is the cost price (in ₹) of the item?
  7. A television set was purchased for ₹ 650, and another ₹ 50 were spent on its transportation. At what price should it be sold so that the profit earned would be 20%?
  8. An article was sold for ₹ 576 when its cost price was ₹ 600. What is the percentage loss?
  9. A television set was purchased for ₹ 650, and another ₹ 50 were spent on its transportation. At what price should it be sold so that the profit earned would be 20%?
  10. Read the given question carefully and decide which of the following statements is/are sufficient to answer the question.
    Question: What was the share of the picnic cost to be borne by each student?
    Statements:
    I) The total cost of the picnic was ₹ 12,500, and the number of students who went for the picnic was 15.
    II) If 3 fewer students would have gone, then the cost of the picnic per student would have increased by ₹ 120.

Important Questions from Profit and Loss

  1. Rohit buys 8 pens and 4 pencils for Rs. 2400. He sells pencils at a profit of 20 percent and pens at the loss of 10 percent. If his overall profit is Rs. 240, then what is the sum of the cost price of one pen and one pencil?

  2. The cost price of an article is Rs.6,450. If it sold at a profit 16%, how much would be its selling price?

  3. If the selling price of 7 articles is equal to the cost price of 6 articles, then what is the percentage loss?

  4. An article when sold at a gain of 5%, yields Rs. 15 more than when sold at a loss of 5%. The cost price will be

  5. What will be cost price of an item which when sold at the profit of 5% and at the loss of 5% the difference of selling prices be Rs. 60?

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