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Comparing Quantities Test - 26

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Comparing Quantities Test - 26
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  • Question 1
    1 / -0
    Marked price of a Saree is Rs. 600 and is available on Rs. 450. Rate of discount is :
    Solution
    $$MP=600, SP=450$$

    $$Disc=\dfrac{600-450}{600}=\dfrac {150}{600}\times 100=25$$%
  • Question 2
    1 / -0

    Directions For Questions

    Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.

    ...view full instructions

    What was the cost price of the suitcase purchased by Samir?
    (1) Samir got 20 per cent concession on the labelled price.
    (2) Samir sold the suitcase for Rs. 2000 with 25 per cent profit on the labelled price.
    Solution
    (2) $$\Rightarrow$$ Labelled price $$=\frac {2000}{125}\times 100=Rs. 1600$$
    (1) $$\Rightarrow$$ C.P. of suitcase $$=1600(1-\frac {20}{100})=Rs. 1280$$
    Hence, both the statements together are necessary to answer the question.
  • Question 3
    1 / -0
    The marked price of a dining table is Rs. 23,600 and is available at a discount of 8%. Find its selling price.
    Solution
    Marked Price of a dinning table is Rs $$23600$$
    Discount=$$ 8$$%
    Selling Price=Marked Price-Discount
                         $$=23600-\cfrac { 8 }{ 100 } \times 23600$$
                         $$=$$ Rs $$21712$$
  • Question 4
    1 / -0
    An articles marked for Rs. $$1,300$$ and is sold for Rs. $$1,144$$; find the discount percent.
    Solution
    Discount $$\%$$ $$ =\dfrac {   Marked  Price - Selling  Price  }{Marked   Price } \times 100 $$
    $$= \dfrac {1,300 - 1,144}{1,300} \times 100 $$
    $$=  \dfrac {156}{1,300} \times 100 = 12 $$ $$\%$$
  • Question 5
    1 / -0
    A shopkeeper buys an article for Rs. $$450$$. He marks it at $$20\%$$ above the cost price. Find the marked price of the article.
    Solution
    Marked price will be $$ = C.P. + 20 $$ $$\%$$ of $$ C.P. $$
    $$= \dfrac {120}{100} \times C.P.$$
    $$ = \dfrac {120}{100} \times 450 $$
    $$=$$ Rs. $$540  $$
  • Question 6
    1 / -0
    A shopkeeper buys an article for Rs. $$450$$. He marks it at $$20\%$$ above the cost price. The percentage discount given by him, if he sells the article for Rs. $$496.80$$, is:
    Solution
    According to the information given, Marked price will be $$ = C.P. + 20 $$ $$\%$$ of $$ C.P. $$
    $$= \dfrac {120}{100} \times C.P.$$

    $$ = \dfrac {120}{100} \times 450$$

    $$ =$$ Rs. $$540  $$

    Discount $$\%$$ $$ =\dfrac {   Marked  Price - Selling  Price  }{Marked   Price } \times 100 $$
    $$= \dfrac {540 - 496.80}{540} \times 100 $$

    $$=  \dfrac {43.2}{540} \times 100 $$
    $$=8 $$ $$\%$$
  • Question 7
    1 / -0
    A wrist-watch is available at a discount of $$9\%$$. If the list-price of the watch is Rs.$$ 1,400$$; find the discount given and the selling price of the watch.
    Solution
    Given: Discount: $$9\%$$

    Discount given on the Marked Price $$ = \dfrac {9}{100} \times 1,400 $$

                                                                  $$=Rs.126 $$

    But discount $$\% =\dfrac {   Marked\ \ Price - Selling\ \ Price  }{Marked\  \ Price } \times 100  $$ 

    $$ \Rightarrow   \dfrac {1,400 - S.P}{1,400} \times 100 =  9 $$

    $$ \Rightarrow  1,400 - S.P. = 126 $$

    $$ \Rightarrow  S.P. =Rs. 1274$$
  • Question 8
    1 / -0
    A shopkeeper buys an article for Rs. $$450$$. He marks it at $$20\%$$ above the cost price. The selling price, if he sells the article at 10% discount, is:
    Solution
    Marked price will be $$ = C.P. + 20 $$ % of $$ C.P. = \dfrac {120}{100} \times C.P. = \dfrac {120}{100} \times 450 =Rs  540  $$
    And Discount $$ = 10 $$ % of Marked Price $$ = \dfrac {10}{100} \times 540 = Rs 54 $$
    And Selling price $$ = $$ Marked Price $$ - $$ Discount $$ = Rs 540 - Rs 54 = Rs 486 $$
  • Question 9
    1 / -0
    The selling price of a pen is $$Rs.\ 13.20$$ if it is sold at $$12\%$$ discount.
    Find the new selling price of the pen, if it is sold at $$5\%$$ discount.
    Solution
    Let the marked price of the pen be $$x.$$

    For the case when discount is $$12\%,$$ $$SP$$ is $$Rs.\ 13.20$$. Then,
    $$\begin{aligned}{}13.20 &= x\left( {1 - \frac{{12}}{{100}}} \right)\\13.20& = x \times \frac{{88}}{{100}}\\x &= \frac{{13.20 \times 100}}{{88}}\\& = Rs.\ 15\end{aligned}$$

    For the case when the discount is $$5\%,$$ $$SP$$ will be, 
    $$\begin{aligned}{}SP& = 15\left( {1 - \frac{5}{{100}}} \right)\\ &= 15 \times \frac{{95}}{{100}}\\ &= Rs.\ 14.25\end{aligned}$$

    Hence, option $$B$$ is correct.
  • Question 10
    1 / -0
    The list price of an article is Rs. 800 and is available at a discount of 15 percent. Find the selling price of the article.
    Solution
    Discount $$ = 15 $$ % of Marked Price 

                   $$ = \dfrac {15}{100} \times 800$$

                   $$= Rs\ 120 $$

    Selling price $$ = $$ Marked Price $$ - $$ Discount 

                          $$ = Rs\ 800 - Rs\ 120$$

                          $$ = Rs\ 680 $$
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