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Profit Loss & Discount Test 107
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Profit Loss & Discount Test 107

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  • Question 1/10
    1 / -0
    A grocer had 1600 kgs of wheat. He sold a part of it at 20% profit and the rest at 12% profit, so that he made a total profit of 17%. How much wheat (in kg) did he sell at 20% profit?
    Solutions
    Let the price of I kg of wheat = Rs.1
    Total price of 1600Kg = Rs.1600
    Let the part sold at 20% profit = x
    Let the part sold at 12% profit = 1600 – x
    Total overall profit required = × 1600 = Rs.1872
    According to the question,
    × x + × (1600 – x) = 1872

    120x + 179200 – 112x = 187200
    8x = 187200 – 179200

    8x = 8000
    X = 1000
    ∴ 1000 kg has been sold at 20% profit

    Short trick:

    20                     12

                  17

    5(17-12)       3(20-17)

    5+3→ 1600
    8 → 1600,  1 → 200
    ∴5 → 1000
  • Question 2/10
    1 / -0
    A fruit vendor sells Guava at the rate of 25Rs for 5 guavas. Overall he gained 50% profit in this deal. Calculate the cost price of one dozen Guavas.
    Solutions
    SP of 1 guava =25/5 = 5
    CP *150/100 = 5
    CP = 10/3
    CP of 1 dozen guavas = 12*10/3 = 40
  • Question 3/10
    1 / -0
    A shopkeeper allows 18% discount on the marked price of an article and still makes a profit of 23%. If he gains Rs. 18.40 on the sale of the article, then what is the marked price of the article?
    Solutions
    Profit = 23% of cost price = Rs 18.4
    Selling Price = 123% of cost price = (18.4/23) ×123 = Rs 98.4 

    Marked Price = 98.4 × (100/82) = Rs 120 
  • Question 4/10
    1 / -0
    After a discount of 23% an article is sold for Rs 1848. What is the marked price (in Rs) of the article?
    Solutions
    Let the marked price be x
    Selling price = 1848
    Discount percentage = 23%
    (100 - 23)% of x = Rs.1848

    x = Rs.2400
    Hence the marked price is Rs.2400
  • Question 5/10
    1 / -0
    A shopkeeper marks up his wares by 60% and offers 25% discount. What will be the selling price, if the cost price is 540.
    Solutions
    Required
    Selling price = 540×.
    = Rs.648.
  • Question 6/10
    1 / -0
    A villager buys a goat and a sheep together for Rs 14,250. He sold the sheep at a profit of 10% and the goat at a loss of 20%. If he sold both the animals atthe same price, then what was the cost price of the cheaper animal?
    Solutions
    Given, 
    110% of CP of Sheep = 80% of CP of Goat
    CP of Sheep : CP of Goat = 8 : 11

    Hence, the cost price of the sheep = (8/19) × 14250 = Rs 6000
  • Question 7/10
    1 / -0
    If a fruit seller sells mangoes at Rs.187 per kg he suffers 15% loss. If he sells at Rs. 264 per kg, then what is his approximate profit percentage?
    Solutions
    Given, Rs 187 = 85% of cost price
    Now, Rs 264 = [(85/187) × 264]% of cost price 
    Rs 264 = 120% of cost price
    Hence, at Rs 264/kg, he earns 20% profit. 
  • Question 8/10
    1 / -0
    Sonu purchased bicycles at the rate of Rs. 1836 each from a manufacturing company. He raised the price by 40% and then allowed a discount of 12% on each bicycle. His profit will be:
    Solutions
    Short Trick:
    let CP = Rs. 100
    MP = Rs. 140
    SP = 140 - 16.8 = Rs. 123.2
    Profit % = 23.2%

    Basic Method:
    Required %
    M.P. of a bicycle =
    S.P. = 2570.4Rs.
    Profit = 2261.952 - 1836 = Rs. 425.952

    Alternative Method:

    Let C.P. be Rs.100 and M.P. be Rs.140
    Required
  • Question 9/10
    1 / -0
    By selling cloth at Rs. 9 per meter, a shopkeeper loses 10%. Find the rate at which it should be sold so as to earn a profit of 15%?
    Solutions
    According to the question:
    By selling cloth at Rs. 9 per metre, a shopkeeper loses 10%
    Therefore,
    SP = 90% of CP
    →CP = (9 × 100)/90
    →CP = 10 Rs per meter
    To earn a profit of 15%, SP = 115% of 10
    → SP = 11.50 Rs per meter
  • Question 10/10
    1 / -0
    A shopkeeper purchases an article at 25% discount and marks its price 40% above its original price. If he sells the article at a discount of 20%, then find the percentage profit of the shopkeeper.
    Solutions
    Short Trick:
    Let the Original Price be Rs.100
    CP = Rs.75
    MP = Rs.140
    SP = Rs.112
    Profit = 112 - 75 = Rs.37
    Profit % = 37*100/75 = 49.33%

    Basic Method:
    Let the original price be x.
    Marked price = =
    C.P. =
    S.P = =
    Required
    Profit % =
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