Mathematical Aptitude - Profit and Loss

16. A readymade producer manufactures both men’s and women’s garments. The average profit is 5% of the total sales. The profit on men’s garments is on an average of 9% of the sales. The women’s garments are 60% of the total output. The average profit percentage on women garments is

  • Option : C
  • Explanation : The ratio of production between women and men is 60:40.
    The profit on men’s garments = 9% of Rs 40 = Rs 3.6
    To make profit of 5%, contribution of women’s garments = 5 – 3.6 = Rs 1.4
    Profit percentage on women = 1.4/60 × 100 = 2.33%
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17. The cost of an article is Rs 500 and its original price was marked up 40% by the shopkeeper. Then shopkeeper sets a new price, he marks the cost price up by 80% and then gives a discount of 20% to the customer. How much more/less money will the shopkeeper makes now?

  • Option : A
  • Explanation : Old sales price = 500 + 40% of 500 = Rs 700
    New marked sales price = 500 + 80% of 500 = Rs 900
    Discounted price = 900 – 20% of 900 = Rs 720
    Thus new price is higher by Rs 20
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18. The cost of an article reduces by 20%. This enables a person to buy 2 kg more articles for Rs 300. Find the reduced and the original price per kg of rice.

  • Option : A
  • Explanation : 20% reduction on Rs 600 means benefit of RS 120 to a customer. That enables customer to buy 2 kg extra article.
    Thus reduced selling price of 2 Kg = Rs 120 and of one Kg = 120/2 = Rs 60
    If a value reduces by 20%, it means it should be increased by 25% to reach at original value again.
    Thus original price = 60 + 25% of 60 = Rs 75
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19. Arjun makes a profit of 18% on cost price by selling a bike for Rs 59000. The cost price of the bike increases by 5%. Arjun wants to make the same amount of profit. What will be the new profit percent on selling price in Rs ?

  • Option : A
  • Explanation : Hint: Original CP can be calculated first, that is Rs 50000.
    Then CP increases by 5%. Same amount of profit can be added to it, and then percentage calculated on it.
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20. After selling a cycle for Rs 1680 a shopkeeper suffers a loss of 16%. If he wants to earn 15% profit after giving the discount of 8%, what will be the marked price?

  • Option : C
  • Explanation : Cost Price = (1680/84) X 100 = Rs 2000
    Marked price = 2000 X (115%/92%) = Rs 2500
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