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Comparing Quantities Test - 14

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Comparing Quantities Test - 14
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  • Question 1
    1 / -0
    The price at which an article is purchased is called its
    Solution
    The price/cost at which an article is purchased is called its Cost Price, or CP.
    Hence, option B is correct.
  • Question 2
    1 / -0
    Sam invested a certain amount of money and got back an amount of Rs. $$5000$$. If the bank paid an interest of Rs. $$1700$$, find the amount Sam invested.
    Solution
    Amount $$=$$ Rs. $$5000$$
    Simple interest $$=$$ Rs. $$1700$$
    Principal $$=$$ Amount $$-$$ simple interest
    $$= 5000 - 1700 $$
    Principal $$= 3300$$
    Therefore, Sam invested Rs. $$3300$$.
  • Question 3
    1 / -0
    ________ is most commonly used to refer to the amount borrowed or the amount still owed on a loan, separate from interest.
    Solution
    Principal is most commonly used to refer to the amount borrowed or the amount still owed on a loan, separate from interest.
  • Question 4
    1 / -0
    What is $$45\%$$ in decimal?
    Solution
    Converting a given fraction into decimal:

    $$45\% =$$ $$\dfrac{45}{100}$$

    On dividing, we get

    $$\dfrac{45}{100} = 0.45$$
  • Question 5
    1 / -0
    The cost price of $$20$$ articles is the same as the selling price of x articles. If the profit is $$25$$%, then the value of is:
    Solution
    Let C.P. of each article be $$Re. 1$$ C.P. of x articles $$= Rs. x$$.
    S.P. of x articles $$= Rs. 20$$.
    $$Profit = Rs. (20 - x)$$.
    $$\therefore \left (\dfrac {20 - x}{x}\times 100 = 25\right )$$
    $$\Rightarrow 2000 - 100x = 25x$$
    $$125x = 2000$$
    $$\Rightarrow x = 16$$
  • Question 6
    1 / -0
    If the selling price is less than the cost price, the difference of the prices is the _____.
    Solution
    If Selling Price $$>$$ Cost Price $$;$$ then you have a Profit and the difference between the prices is called the profit.

    If Selling Price $$<$$ Cost Price $$;$$ then you have a loss and the difference between the prices is called the loss.
  • Question 7
    1 / -0
    $$60\%$$ of what number if $$45$$?
    Solution
    Let the number be $$ x $$
    So, $$ 60 $$ $$\%$$ of $$ x = 45 $$
    $$ \Rightarrow  \dfrac {60}{100} \times x = 45 $$
    $$\Rightarrow 60 \times x=45 \times 100$$
    $$ \Rightarrow  x =75 $$
  • Question 8
    1 / -0
    The _______ is the percentage of a sum of money charged for its use.
    Solution
    The $$\underline{\text{rate of interest}}$$ is the percentage of a sum of money charged for its use.
  • Question 9
    1 / -0
    Rename the following fraction as percents.
    $$\cfrac { 44 }{ 400 } $$
    Solution
    When we talk about percents, we should multiply the number with $$100$$

    So, the given fraction in percents is $$\dfrac{44}{400} \times 100 = \dfrac{4400}{400} = 11$$ $$\%$$
  • Question 10
    1 / -0
    $$84\% =$$ ______ in vulgar fraction.
    Solution
    Converting Given percent into simple fraction as :
    $$84\% =$$ $$\dfrac{84}{100}$$
    Reduce the fraction, we get
    $$\dfrac{84}{100}=\dfrac{21}{25}$$
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