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Profit And Loss Test - 1

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

    Umesh purchased 360 eggs at the rate of 78 paise each. On this, he paid Rs. 14 as octroi, Rs. 13 as transport and Rs. 5 as additional charges. He kept 7 eggs for himself. At what rate should he sell each of the remaining eggs to get a total profit of Rs. 70?

    Solution

    Total cost = 360 × 0.78 + 14 + 13 + 5 = Rs. 312.80
    He needs to sell 353 eggs for 312.8 + 70 = Rs. 382.8.
    Thus, price of one egg = Rs. 1.08

     

  • Question 2
    1 / -0

    A man sold an article at a profit of 15%. If he had bought it at 15% less and sold it for Rs. 78 less, he would have gained 20%. What was the cost price of the article?

    Solution

    Let the original cost price be Rs. c.
    So, original sales price = Rs. s1 = Rs. 1.15c

    New sales price = Rs. s2 = Rs. (1.15c - 78)
    New cost price = Rs. c2 = Rs. 0.85c

    So, (1.15c - 78) = 1.20(0.85c) = 1.02c
    or, c = 600

    Thus, the cost price of the article is Rs. 600.

     

  • Question 3
    1 / -0

    A businessman makes a profit of 20% by selling 355 books at the same price. Had he sold 570 books of the previous price, then what would have been his loss percent?

    Solution

    SP = 1.2CP
    New SP = 2/3SP

    % Loss = (new SP – CP)/CP x 100 = (2/3SP – CP) x 100/CP = (2/3 x 1.2CP – CP) x 100/CP = - 20%

     

  • Question 4
    1 / -0

    A tradesman marks an article at a price which would give him a profit of 20% on the cost price. To the favoured customers, he makes a deduction of 5% from the marked price. What actual profit does he receive from the sale of an article to a favoured customer for which the latter pays him $28.50?

    Solution

    Let the CP of the article be $x.
    MP = x + 20% of x = $1.2x

    When a discount is given on this MP,
    SP of the article = (95/100) × 1.2x = $1.14x

    But 1.14x = 28.50
    So, x = 25

    CP of the article = $25
    SP = $28.50
    Profit = $3.50

     

  • Question 5
    1 / -0

    A wholesaler is selling 900 gm rice at a cost of a kilogram to the retailer at a price which is 14% more than the cost price at which the wholesaler purchased 1 kg rice. What is the net profit % of the wholesaler?

    Solution

    Let the cost price of 1 kg rice for the wholesaler be Rs. 100.
    Now, selling price of 900 gm of rice for the wholesaler is Rs. 114.
    Selling price of 1 kg of rice for the wholesaler = 114 × 10/9 = Rs. 126.67
    Profit % = 26.67%

     

  • Question 6
    1 / -0

    A manufacturer makes a profit of 15% by selling a colour television for Rs. 6900. If the cost of manufacturing increases by 30% and the price paid by the retailer is increased by 20%, then find the profit percent made by the manufacturer.

    Solution

    Let the original cost to the manufacturer = Rs. c
    So, 6900 = 1.15c

    Or, c = 6000
    New cost to the manufacturer = Rs. (1.30 x 6000) = Rs. 7800

    Price paid by the retailer to the manufacturer = Rs. (1.20 x 6900) = Rs. 8280
    Let the new profit percent earned by the manufacturer = Rs. 8280 - Rs. 7800 = Rs. 480

    profit % = (480/7800) x 100% = 6.15%
    Thus, the manufacturer makes a profit of 6.15%.

     

  • Question 7
    1 / -0

    A woman buys mangoes at Rs. 25 a dozen and buys an equal number at a price of Rs. 30 per 20 mangoes. She sells them at Rs. 1.80 per piece and thus, gains Rs. 25 on her outlay. How many mangoes did she buy?

    Solution

    Suppose, the woman buys 60 mangoes of the first kind and 60 mangoes of the second kind [LCM of 12 mangoes and and 20 mangoes].
    CP of 60 mangoes = Rs. 125

    And CP of another 60 mangoes = Rs. 90
    ∴ CP of 120 mangoes = Rs. 215

    SP of 120 mangoes = 120 × 1.8 = Rs. 216
    Gain = Re 1

    For the gain of Re 1, number of mangoes purchased = 120
    For the gain of Rs. 25, number of mangoes purchased = 3000

     

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