Engineering Maths - Percentage

6. A manufacturer marks his goods in advance at 80 percent more than the cost price, but he allows 15 articles to the dozen and also 10 percent discount for cash. What rate of profit on his outlay does he obtain from a customer who pays cash?

  • Option : C
  • Explanation :

    Let CP be  x
    ∴ MP = 1.8 x
    ∴ SP of 15 articles = 12 * 1.8x = 21.6x
    ∴ Discount = 0.9 x 21.6x = 19.44x
    ∴Profit on 15 articles = (19.44 - 15)x
    ∴ Profit % =(4.44x/15x)  = 29.6%

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8. Ram, Shyam and Ghanshyam invest Rs.2000, Rs.10000 and Rs.5000 to set up a stall. Ram gets 15% of the total profit for running the stall. Ram gets Rs.500 less than Shyam and Ghanshym together, then total profit of that year is:

  • Option : A
  • Explanation :

    85% of the total profit is divided in the ratio 2 : 10 : 5.
    85% of total profit = 2x + 10x + 5x = 17x
     Total profit = (17x / 85% )
    Share of Ram in the profit = 2x + 15% of 20x =2x+ 3x= 5x
    Share of Shyam in the profit = 10x
    Share of Ghanshyam in the profit = 5x
    Now, (10x + 5x) - 5x = 500
    10x = 500
    =>x = 50
    ∴ Total profit = 20 x 50 = Rs.1000.

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9. A trader buys a certain amount of goods worth Rs.22520. He decides to make a profit of 5.36% on the sale of goods worth Rs.5000 and increase the profit percent by 3.14% for sales upto 215000 and then increase the profit percent for the sale of remaining lot such that he is able to make a profit of 25% on the sale of the full lot. Then profit that he makes on the third lot of goods is

  • Option : B
  • Explanation :

    C.P. of goods for the trader = Rs.22520
    S.P. = 125 x 22520 = Rs.28150
    ∴ Profit =  Rs.5630
    Now, 5630 = 0.0536 x 5000 + 0.085 x 10000 + (x/100)* 7520 
    =>5630 =268 - 850 + 75.2x 
    =>75.2x = Rs.4512, which is nothing but profit from sale of third lot.

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10. Buy two and get one free. Which of the following is true?

  • Option : C
  • Explanation : Profit or loss of the sale depends upon how much profit the person is earning on the sale of two articles. If SP > CP of 1 article, there is a profit. If SP < CP of 1 article, there is a loss. If SP = CP of 1 article, there is not profit no loss. Thus, only (c) is true.
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