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Profit And Loss Test - 4

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Profit And Loss Test - 4
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  • Question 1
    1 / -0

    A watch was sold at a loss of 10 percent. If it was sold for $70 more, there would have been a gain of 4 percent. What was the CP of the watch?

    Solution

    Let the cost price of the watch is $x.
    Selling Price = 0.9x$
    New Selling Price = 0.9x + 70
    New gain = 4% of x = 0.04x
    According to the question,
    0.9x + 70 - x = 0.04x
    0.14x = 70
    x = $500

     

  • Question 2
    1 / -0

    A man spends 85% of his income. If he saves $37.50, find the salary.

    Solution

    Let income be $x
    Expenses = 85% of x = 0.85x
    Savings = (1 - 0.85)x = 0.15x
    0.15x = $37.50 {given}
    x = $250

     

  • Question 3
    1 / -0

    In an election between two candidates, Mr. Hero secures 45% of the total votes, but is defeated by Mr. Zero by 300 votes. Find out the total number of votes polled, if it is known that all the votes polled are valid.

    Solution

    Let the total number of votes polled be x.
    So, (55% - 45%) of total votes (x) = 300
    Or 10% of x = 300
    Or x = 3000

     

  • Question 4
    1 / -0

    A man sold an article for $75 and lost something. Had he sold it for $96, his gain would have been double the former loss. The cost price of the article is

    Solution

    1st case:
    SP = $75
    Let loss = $x
    CP = $(75 + x)

    2nd case:
    SP = $96
    Profit = $2x
    CP = $(96 - 2x)

    So,
    75 + x = 96 – 2x
    3x = 21
    x = $7
    CP = $(7 + 75) = $82

     

  • Question 5
    1 / -0

    Successive discounts of 10% and 20% are equivalent to a single discount of

    Solution

    Total discount = 10% + 20% - (10 x 20/100)% = 10% + 20% - 2% = 28%

     

  • Question 6
    1 / -0

    If a merchant estimates his profits as 20% of the selling price, what is his real profit percent?

    Solution

    Let S.P be Rs. 100
    then Rs. 20 = 20% profit.
    C.P = 80%
    or profit on cost price = 25%.

     

  • Question 7
    1 / -0

    Gangaram buys 7000 bananas at Rs. 2 each and agrees to pay an additional sum of Rs. 300 for their delivery. He estimated that 10% of the bananas will be spoiled, so he decides a selling price of Rs. 3 each for the remaining. However, during delivery, 20% of the bananas are spoiled. What should be the percent increase in the selling price in order to obtain the same total profit?

    Solution

    10% decrease means there are 6300 bananas.
    Total S.P. = 6300 x Rs. 3 = Rs. 18900

    Actual number of bananas left after 20% decrease = 5600
    To keep the profit the same, S.P. of each banana should be Rs. 18900/5600 = Rs. 3.375

    Percent increase in S.P. = [(3.375 - 3)/3] x 100 = 12.5%

     

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