Tag: comparing quantities using proportion

Questions Related to comparing quantities using proportion

By selling 32 clips for a rupee, a man loses 40%. How many a rupee must he sell to gain 20%?

maths comparing quantities using proportion overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. 64

  2. 30

  3. 24

  4. 16

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Correct Option: D
Explanation:

b'S.P. of 1 clip $\displaystyle=\frac{1}{32}$ of a rupee

$\implies$ 60% of CP $\displaystyle=\frac{1}{32}$ of a rupee

$\therefore$ 120% of CP $\displaystyle=\frac{1}{32}\times\frac{120}{60}$ i.e. $\displaystyle\frac{1}{16}$ of a rupee

$\implies$ he should sell 16 clips for a rupee.'

Reshma sells an article to Rekha at $37.5\%$ profit, Rekha sells it to Madhu at $9\dfrac{1}{11}\%$ profit. Again Madhu sells it to Mitu at $25\%$ loss. If Mitu pays $Rs\ 342$ for the article, then what is the cost price of the article to Reshma?

maths comparing quantities using proportion overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. $Rs\ 304$

  2. $Rs\ 266.50$

  3. $Rs\ 380$

  4. $Rs\ 384.75$

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Correct Option: A

By selling a watch for Rs 480, a man gains 25%. How much per cent would he gain by selling it for Rs 432?

maths comparing quantities using proportion overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. $15\%$

  2. $\displaystyle6\frac{1}{4}\%$

  3. $\displaystyle12\frac{1}{2}\%$

  4. $25\%$

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Correct Option: C

Choose the correct answer from the alternatives given :
Mr. Ram runs a clothing store. His overhead expenses are 32% and his profits are 12% of his sale. At what price should he sell a raincoat which costs him Rs. 10.50 ?

maths comparing quantities using proportion overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. Rs. 13

  2. Rs. 15.52

  3. Rs. 12

  4. Rs. 19

Show answer
Correct Option: B
Explanation:
Cost price of umbrella $=Rs.10.50$
    overhead expenses $=32$% $=0.32$
            Required profit $=12$% $=0.12$
So, Selling price of umbrella $=Rs.10.50\times 1.32\times 1.12$
                                                $=Rs.15.52$
So, selling price $=Rs.10.50\times 1.32\times 1.12$
                           $=Rs.15.52$.