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  • Question

  • If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.


  • Options
  • A. 6:31
  • B. 11:30
  • C. 7:30
  • D. 31:6

  • Correct Answer
  • 7:30 

    Explanation

    Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.
    M.P. = (6/5) S.P.
    Since the percentage discount = Percentage profit,
    6 5 S . P   -   S . P 6 5 S . P × 100   =   S . P   - C . P C . P × 100
    Therefore, 1/6 = (S.P/C.P) ? 1 => S.P = (7/6) C.P
    M.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.P
    Therefore, Ratio of discount to C.P
    = (M.P ? S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]
    = 7/30

     

    Therefore, the ratio is 7 : 30

    • Tags: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst

    Profit and Loss problems

    Search Results

    • 1. Karthik incurred a loss of 40 percent on selling an article for Rs. 5,640. At what price should he have sold the item to have profit of 25%?

    • Options
    • A. Rs. 11750
    • B. Rs. 12550
    • C. Rs. 13650
    • D. Rs. 11550
      • Discuss
    • 2. Anil purchases two books for Rs.100. He sells first at loss of 5% and second al 20% profit. If he gets Overall profit of 5% then what is cost of first book?

    • Options
    • A. 58
    • B. 60
    • C. 55
    • D. 45
      • Discuss
    • 3. A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ?

    • Options
    • A. Rs.37,500
    • B. Rs.36,400
    • C. Rs.37,415
    • D. Rs.36,500
      • Discuss
    • 4. By selling an article at Rs.800, a shopkeeper makes a profit of 25%.At what price should he sell the article so as to make a loss of 25%?

    • Options
    • A. Rs.720
    • B. Rs.640
    • C. Rs.540
    • D. Rs.480
      • Discuss
    • 5. 12 days payment to the servant in a cloth showroom in festival season is Rs. 400 plus one shirt. The servant leaves after 9 days and recieves Rs. 280 and a shirt. What is the price of the shirt ?

    • Options
    • A. Rs. 80
    • B. Rs. 120
    • C. Rs. 70
    • D. Rs. 100
      • Discuss
    • 6. A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 15%, he is only able to save Rs. 400 per month. What is his monthly salary ?

    • Options
    • A. Rs. 6000
    • B. Rs. 4500
    • C. Rs. 5000
    • D. Rs. 6500
      • Discuss
    • 7. A man purchases two articles, on selling one at loss of 20% while the other at a profit of 25%, he gains the overall profit of 5% than find the ratio of their selling price ?

    • Options
    • A. 8 : 62.5
    • B. 55 : 8
    • C. 8 : 65
    • D. 64.4 : 9
      • Discuss
    • 8. Selling an article at a profit of 20%, Aman gets Rs. 400 more than selling at a loss of 20%. The cost price of the article is ?

    • Options
    • A. Rs.1000
    • B. Rs. 1020
    • C. Rs.1210
    • D. Rs.1140
      • Discuss
    • 9. A shopkeeper expects a gain of 45/2 % on his C.P. If his sale was Rs. 392, then find his profit.

    • Options
    • A. Rs. 70
    • B. Rs. 72
    • C. Rs. 74
    • D. Rs. 76
      • Discuss
    • 10. Manisha went to shop with certain amount, with which she can buy 50 Chacobar or 40 Fivestar. She uses 10% amount for petrol and out of the remaining balance, she purchases 20 Fivestar and some Chacobar. Find the number of Chacobar she can buy?

    • Options
    • A. 20
    • B. 24
    • C. 26
    • D. 28
      • Discuss

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