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Comparing Quantities Test - 60

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Comparing Quantities Test - 60
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  • Question 1
    1 / -0
    By selling an article for $$\text{Rs. } 100$$, a man gains $$\text{Rs. } 15$$. Then, his gain $$\% $$ is :
    Solution
    Selling price $$= \text{Rs. } 100$$
    profit $$= \text{Rs. } 15$$
    Cost price $$= S.P. - Profit$$
    $$= 100 - 15=85$$
    Gain $$\%=\dfrac{Profit}{C.P.}\times100$$
    $$=\dfrac{15}{85}\times100$$
    $$=17\dfrac{11}{17}$$%
    Hence, option (c) is correct.
  • Question 2
    1 / -0
    A student buys 3 pencils for Rs.4 and sells all at  for Rs.5. His gain or loss % is       
    Solution
    $$Profit \% = \dfrac{selling \, price - buying \, price}{buying \, price} \times 100$$
    $$= \dfrac{5 - 4}{4} \times 100$$
    $$= 25\%$$
  • Question 3
    1 / -0
    A shopkeeper purchased $$20$$ dozen bananas for $$\text{Rs }\,208$$, Four dozen of the bananas were rotten. At what price per dozen must he sell the remaining bananas so that he is neither at a loss nor at a profit?
    Solution
    Cost of $$20$$ dozen bananas $$=\text{Rs }208$$
    Remaining bananas $$=$$ Total bananas $$-$$ rotten bananas
    $$=20-4=16$$ dozens
    let the selling price of 1 dozen bananas be $$x$$
    as per the question, $$16$$ dozen bananas are required to be sold at $$\text{Rs }208$$
    $$\implies 16x=208$$
    $$\implies x=13$$
    Hence, the remaining bananas are to be sold at $$\text{Rs 13}$$ per dozen 
  • Question 4
    1 / -0
    The marked  price of a book is Rs. $$100$$. The shopkeeper gave $$25\%$$ discount on it. Then the sale price of the book is
    Solution

  • Question 5
    1 / -0
    A shopkeeper purchases 60$$ \mathrm { kg } $$ of acommodity at the rate of Rs. 5 per kg and 150 kg of the same commodity at the rate of Rs.6 per kg. He mixes the two and sells the mixture at the rate of $$7$$Rs-per kg. What is the overall gain?
    Solution

    The cost of $$60Kg$$ commodity is $$5\times 60=300Rs.$$

    The cost of $$150$$ Kg commodity is $$6\times 150=900Rs.$$

    The overall cost is $$300+900=1200$$

    The total selling price is $$210\times 7=1470$$

    The net profit is $$1470-1200=270$$


  • Question 6
    1 / -0
    If a quarter kg of potato costs $$60$$ paise, how many paise does $$200$$ gm cost?
    Solution
    Given,

    Let the Required cost be $$x$$ paise.  

    Therefore, $$250 : 200 :: 60 : x$$

    $$\Rightarrow  (250 \times  x) = (200 \times 60)$$

    $$\Rightarrow x= 48$$
  • Question 7
    1 / -0
    Convert the following ratios into percentage:
    $$(A)~15 : 25$$
    $$(B)~47 : 50$$
    $$(C)~\dfrac { 7 }{ 10 } $$
    Solution

  • Question 8
    1 / -0
    Express the given fractions as percentages: -
    • $$\dfrac{2}{3}$$
    • $$\dfrac{5}{6}$$
    • $$\dfrac{4}{7}$$
    Solution

  • Question 9
    1 / -0
    On selling an article for Rs. 42, there is a percent profit of 5%. If the same article is sold for Rs. 50. What is the percent profit?
    Solution

  • Question 10
    1 / -0
    On selling a watch by 15% profit, there is a profit of Rs. 75. Then what is the cost price of watch.
    Solution

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