Quantitative Aptitude

Profit, Loss and Discount

2,604 Questions
All Basic CP/SP Percentage Relationship 874 Marked Price, Markup, and Discount 786 Partial Sales and Multiple Transactions 338 Successive Discounts 218 Cost Price of X = Selling Price of Y 180 Faulty Weight or Measure 126 Equal Profit and Loss Rates 57 Free-item Offers 23 Price and Consumption Variation 1

Profit, Loss and Discount Questions

Multiple choice introduction of business laws business law and contract act business studies

A purchased an old computer costing Rs. 10,000 and incurred Rs. 1,000 on its repairs and Rs. 500 on its packing. He sold the computer at 20% margin on selling price. The sales value will be:

  1. Rs. 12,500

  2. Rs. 11,000

  3. Rs. 14,375

  4. Rs. 13,800
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total cost = 10,000 + 1,000 + 500 = 11,500. If the margin is 20% on the selling price (S), then Cost = 80% of S. So, 11,500 = 0.8 * S. S = 11,500 / 0.8 = 14,375.

Multiple choice business maths commission,brokerage and discount advantages of bill of exchange definition, characteristics and parties of bills of exchange simple transactions related to bills of exchange

A businessman marks his goods in such a way that even after allowing $12.5 \%$ discount on a cash purchase he gains $20 \%$. If the cost price is Rs. $140$, the marked price is

  1. Rs. $162$
  2. Rs. $172$
  3. Rs. $193$
  4. Rs. $192$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Business man gains $20\%$ on his cost price, that means, he has sold his goods,
$140 + \dfrac{140\times20}{100} =$ Rs. $168$
Selling price $= 168$

Now, let marked price was Rs. $x$
According to question,
$x - \dfrac{12.5 x}{100} = 168$
$\Rightarrow\dfrac{100x - 12.5 x}{100} = 168$
$\Rightarrow 100x - 12.5 x = 16800$
$\Rightarrow 87.5 x = 16800$
$\Rightarrow x = \dfrac{16800}{87.5}$
$\Rightarrow x = 192$
So, marked price was Rs. $192$

Multiple choice maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

Maya bought a television for $14,500$ rupees and spent $500$ rupees on transportation. she sold that television for $12,000$ rupees. Calculate her loss percent.

  1. $12.22\%$
  2. $32.23\%$
  3. $22.22\%$
  4. $20\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Price paid for buying a TV $=14,500$
Amount spent on transportation $= 500$
Total cost of the TV $=$ cost price $= 14,500 + 500 = 15,000$
Selling price $ = 12,000$
Loss $=$ C.P. $-$ S.P. $= 15,000 - 12,000=  3000$
Loss $\%$ $= \dfrac{loss}{C.P.}\times 100$ $\% =$ $\dfrac{3000}{15000}\times 100$ $\%$ 
$= 20$ $\%$

Multiple choice maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

A company buy a machine for $7000$ rupees and spends $2000$ for electricity and labour charges. If he sells these machine at $5000$ rupees. Find his loss percent.

  1. $12.22\%$
  2. $32.23\%$
  3. $22.22\%$
  4. $44.44\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Price paid for buying a machine $= 7000$
Amount spent on electricity and labout $= 2000$
Total cost of the machine $=$ cost price $= 7000 + 2000 = 9000$
Selling price $= 5000$
Gain $=$ C.P. $-$ S.P. $= 9000 - 5000 = 4000$
Gain $\% =$ $\dfrac{Gain}{C.P.}\times 100$ $\% =$ $\dfrac{4000}{9000}\times 100$ $\%$ 
$= 44.44\%$

Multiple choice maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

A mechanic bought an old car for 2300 rupees and spent 1200 rupees on its repair, denting and painting. He sold that car for 4500 rupees. Calculate his profit percent.

  1. 12.22%

  2. 32.23%

  3. 28.57%

  4. 12.45%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Price paid for buying a car =C.P= $Rs. 2300$
Amount spent on repair =$Rs. 1200$
Total cost of the cycle = cost price =$Rs. 2300 + Rs.1200 = Rs.3500$
selling price = S.P = $ Rs. 4500$

Gain percentage = $ \dfrac{S.P - C.P }{C.P} \times {100}$
=$\dfrac{1000}{3500} \times {100}$

=$ 28.57 $ %

Multiple choice maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

Mike bought an old cycle for $500$ rupees and spent $100$ rupees on its repair. He sold that cycle for $1200$ rupees. Calculate his profit percent.

  1. $12.22\%$
  2. $32.23\%$
  3. $22.22\%$
  4. $100\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Price paid for buying a cycle $=$ C.P. $=$ Rs. $500$
Amount spent on repair $=$ Rs. $100$
Total cost of the cycle $=$ cost price $=$ Rs. $500 +$ Rs. $100 = $ Rs. $600$
Selling price $=$ S.P $=$ Rs. $1200$
Gain percentage $=$ $ \dfrac{S.P - C.P }{C.P} \times {100}$
$=$$\dfrac{600}{600} \times {100}$
$=$$ 100$ $\%$

Multiple choice maths profit - loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

A trader buys some goods for Rs $150$. If the overhead expenses be $12\%$ of cost price, then at what price should it be sold to earn $10\%$ profit?

  1. Rs $184.80$
  2. Rs $185.80$
  3. Rs $187.80$
  4. Rs $188.80$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Total CP = (CP + Overhead expenses) 
Total CP $= 150 + 12\%\, of\, 150 $
Total CP $=150 + \dfrac{12}{100}\times 150= Rs.168$
Given that, gain $= 10\%$
Therefore, $SP = \dfrac{110}{100}\times 168 = Rs.184.80$
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

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 $=Rs.10.50\times 1.32\times 1.12$
                           $=Rs.15.52$.
Multiple choice introduction to ratio and percentages comparing quantities maths

A shopkeeper offers a discount of 25% on a T.V and sells it for Rs.8400. What is the cost price of the T.V?

  1. Rs.8570

  2. Rs.11200

  3. Rs.9040

  4. Rs.8960
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost price of the T.V.$ = x$


After give $25\%$ discount 


$x - \dfrac{25}{100} \times x =$ selling price 
                        $= 8400$

$\dfrac{75}{100} \times x = 8400$

$\dfrac{3}{4} x = 8,400$

$x = \dfrac{8,400 \times 4}{3}$

$x = 11,200$