1. #1
    Unregistered

    Solution of this Commercial Mathematics problem?

    A profit of 20% is made on the goods when a discount of 10% is given on the list price. If a discount of 20% is allowed on the list price, the profit to be made will be:a) 6%b) 20/3%c)10/3%d) 14/3%

  2. #2
    bill gates Array
    Join Date
    Dec 2011
    Location
    Kakinada
    Posts
    25

    Re: Solution of this Commercial Mathematics problem?

    ::::::::::Solution for Commercial Mathematics Problem::::::::::

    Dear Aspirant,

    We can very easy to solve these type of questions.

    First of all you have to know some basics before solve this some .

    Question Answer is Option B

    Basics for this problem

    List Price is also called as marked price on that good or product.

    We can only allow discount on Marked price only

    Profit means = Selling Price - Cost Price.

    Cost Price a retailer or a person one who purchased from wholesaler or another person.


    If you have a good grip on this problem you can easy to solve this question


    Solution:

    10% of Discount means that discount allowed on List Price or Marked Price .

    After allow 10% of Discount on list price we can get Selling Price (i.e 90% of List price is equal to Selling Price)


    90% List Price = 120%of Cost Price

    =>> 90/100 List Price = 120/100 of Cost Price

    both sides 100 s are cancelled

    we can get ratio of

    List price : Cost Price = 120: 90

    we can minimize this ratio

    List Price : Cost price = 4:3


    List Price = 4 Parts

    Cost Price = 3 Parts.

    Now we have to assume 4 Parts equal to 100 Rupees.

    List Price = 100 Rupees

    4 Parts value 100 Rupees that indicates 3 Parts value 75 Rupees.


    Our Problem is :

    If discount 20% allowed on list price .

    Actually list price is 100 Rupees if discount is allowed 20% Selling Price equal to Rs 80/-(After allow discount on List Price)

    We know Cost Price value is 75 Rupees and Selling Price is 80 Rupees

    Profit = Selling price-Cost Price = Rs 80 - Rs 75= Rs 5/-

    Profit percentage = [(Selling Price -Cost Price)/ Cost Price] * 1000

    i.e = (5/75)*100

    = 100/15
    =20/3%

  3. #3
    Unregistered

    Re: Solution of this Commercial Mathematics problem?

    if CP of 10 greetings is equal to the SP of 8 greetings find the gain or loss %

  4. #4
    Badshah Array
    Join Date
    Jul 2012
    Posts
    769

    Re: Solution of this Commercial Mathematics problem?

    Quote Originally Posted by Unregistered View Post
    if CP of 10 greetings is equal to the SP of 8 greetings find the gain or loss %
    • The question you asked is very simple and answer to this question is gain of 25%. Solution stated below-
    • Let us assume the total cost price (CP) of 10 greetings is Rs.80.
    • So the cost price of 1 card = 80/10 i.e Rs.8.
    • As stated in the question, selling price of 8 greetings is equal to cost of price of 10 greetings. Therefore selling price of 8 greetings is Rs.80.
    • The selling price of one card= 80/8 i.e Rs.10.
    • Profit (in terms of rupees) for single card= Rs.10- Rs.8= Rs.2.
    • Profit/gain in %- 2*100/8=25%.

  5. #5
    EALPmember Array
    Join Date
    Oct 2012
    Posts
    208

    Re: Solution of this Commercial Mathematics problem?

    Dear,

    In such mathematical questions, question is solved easily if we assume some price of the product.

    Suppose Cost price of goods is Rs.150.
    Overall profit made is - 20%
    So Selling price -> 180
    Now selling price comes after giving 10% of discount of list price.
    => List price- 10% of list price = Selling price
    => 90% of LP = SP
    => (90/100)*LP = 180
    => LP = 200

    2nd case says that discount offered is 20%, and we need to find profit on selling price.
    =>SP = LP-20% of LP
    =>SP = 200 - (20%) of 200
    => SP = 160

    So profit in second case will be (SP-Cost Price)= (160-150)
    = Rs.10
    So profit percentage= (10/150)*100
    = 10/3%

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