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

A man purchases two watches at Rs. 630. He sells one at 20% profit and other at 15% loss. He neither gains nor loses. Find the cost price of each watches.

  1. Rs. 260, Rs. 370

  2. Rs. 200, Rs. 300

  3. Rs. 270, Rs. 360

  4. Rs. 200, Rs. 360

  5. Rs. 250, Rs. 370
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In the whole transaction, there is neither gain nor loss. Therefore, Amount of gain in one watch=Amount of loss in other watch. 0.20* CP1=0.15*CP2 CP1/CP2=0.15/0.20=3/4 Also CP1+CP2=560 Hence, CP1=3/(3+4) * 630
CP1=270 And CP2=630-270=360 Therefore, cost is Rs. 270 and Rs. 360 It is the correct answer.

Multiple choice

Naruto buys rice worth Rs. 1,34,650. On the way, 60% of the rice gets damaged. He is forced to sell it at a loss of 20%. At what profit percentage should he sell the remaining rice to have an average overall profit of 20%?

  1. 95% profit

  2. 80% profit

  3. 330% profit

  4. 20% profit

  5. 170% profit
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Worth of rice which is damaged = 60/100*134650 = 80790. Its selling price is 80790*.8 = 64632. Total selling price should be 134650*1.2 = 161580. Remaining rice is sold at 161850 - 64632 = Rs. 97218 to get overall 20% profit. So, profit is (96948 - 53860)/53860*100 = 80% (approximately).

Multiple choice

A firm dealing in furniture allows 4% discount on the marked price of each item. What price must be marked on a dining table that costs Rs. 400 to assemble, so as to make a profit of 20%?

  1. Rs. 550

  2. Rs. 560

  3. Rs. 620

  4. Rs. 500

  5. Rs. 650
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

We know that profit is counted on the cost price and discount is counted on the marked price. Now, the cost of assembling is Rs 400. So, the selling price has to have a 20% profit after 4% discount on the marked price. Then, SP (selling price) after discount = 400 * 120/100 = 480 Now, let us assume the marked price is X and is discounted at 4%. So, X * 96/100 = 480, i.e. X = 500. Option 4 is correct.

Multiple choice

In a certain medicine store, the profit is 120% of the cost price of the medicine. If the cost price of the medicine is increased by 5%, but the selling price remains same, then find the new profit percent?

  1. 120%

  2. 109.52%

  3. 100%

  4. 150%

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP of medicine = Rs. 100.

Then, profit = Rs. 120,

SP of medicine = Rs.100 + Rs.120 = Rs. 220,

New C.P. = 100 + 5% of Rs. 100 = Rs. 105,

New S.P. = Rs. 220,

Profit = Rs. (220 - 105) = Rs. 115,

Required profit percentage = (115/105)*100 = 109.52%

Multiple choice

A man got a discount of 40% on the marked price of an article and sold it for Rs. 7020 with 30% profit on the price he bought. What was the marked price?

  1. Rs. 9000

  2. Rs. 10000

  3. Rs. 12000

  4. Rs. 8000

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the MP of the article = Rs. x 

So, CP of the article = x – (x*40)/100 = Rs. 60x/100 

Now, SP of the article = Rs. 7020

[(60x/100)*130]/100 = 7020 

x = (7020*100*100)/(60*130) 

x = 9000 

So, the MP of the article = Rs. 9000

Multiple choice

Suppose a person buys a radio set for Rs. 360. He spent Rs. 60 on its repair and spent Rs. 40 on changing the batteries. Now if he sells the radio set again for Rs. 500, what is his gain or loss percent?

  1. 8%, Gain

  2. 8.69%, Gain

  3. 21.73%, Gain

  4. 17.39%, Gain

  5. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total C.P. for the person = Rs. ( 360 + 60 + 40 ) = Rs. 460 S.P. for the person = Rs. 500 Therefore, gain = Rs. ( 500 - 460 ) = Rs. 40 Gain % = (40/460) x 100 = 8.69%