Tag: comparing quantities using proportion

Quizzes (13) Questions (4)

Questions Related to comparing quantities using proportion

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

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

  1. 64

  2. 30

  3. 24

  4. 16
Reveal answer Fill a bubble to check yourself
D Correct answer
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.'

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

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?

  1. $Rs\ 304$
  2. $Rs\ 266.50$
  3. $Rs\ 380$
  4. $Rs\ 384.75$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP be x. Reshma sells at 37.5% profit (1.375x). Rekha sells at 9 1/11% profit (1/11 fraction, so 12/11 * 1.375x). Madhu sells at 25% loss (0.75 * 12/11 * 1.375x = 342). Solving for x: 0.75 * 1.0909 * 1.375x = 342 -> 1.125x = 342 -> x = 304.

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

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

  1. $15\%$
  2. $\displaystyle6\frac{1}{4}\%$
  3. $\displaystyle12\frac{1}{2}\%$
  4. $25\%$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Selling at 480 with 25% gain means CP = 480 / 1.25 = 384. Selling at 432 gives a gain of 432 - 384 = 48. Percentage gain = (48 / 384) * 100 = 12.5%.

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

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 ?

  1. Rs. 13

  2. Rs. 15.52

  3. Rs. 12

  4. Rs. 19
Reveal answer Fill a bubble to check yourself
B Correct answer
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 $=Rs.10.50\times 1.32\times 1.12$
                           $=Rs.15.52$.