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Quantitative Aptitude

PROFIT AND LOSS MCQs

Profit & Loss

Total Questions : 2016 | Page 9 of 202 pages
Question 81.

The cash difference between the selling price of an article at a profit of 4% and 6% is Rs 3 the ratio of the two selling price is:

  1.    51 : 52
  2.    52 : 53
  3.    51 : 53
  4.    52 : 55
  5.    None of these
 Discuss Question
Answer: Option B. -> 52 : 53
 -    Let the C.P of the article be Rs. x
  Then required ratio = 104% of x  / 106% of x
  = 104/106
  = 52/ 53
Question 82.

A man sells two flats at the rate of Rs. 1.995 lakhs each. On one he gains 5% and on the other, he loses 5%. His gain or loss % in the whole transaction is:

  1.    0.25% loss
  2.    0.25% gain
  3.    2.5% loss
  4.    25% loss
  5.    None of these
 Discuss Question
Answer: Option A. -> 0.25% loss
 -    Loss% = (5/10)² % = (0.5)²% =0.25%
Question 83.

A man sells two commodities for Rs. 4000 each. neither loosing nor gaining in the deal. If he sold one commodity at a gain of 25%, the other commodity sold at a loss of:

  1.    16 2/3 %
  2.    18 2/3%
  3.    25%
  4.    32%
  5.    None of these
 Discuss Question
Answer: Option A. -> 16 2/3 %
 -    Total S.P = 8000 Rs. and Total C.P = 8000 Rs.
  S.P. of Ist commodity = Rs. 4000. Gain on it = 25%
  C.P of Ist commodity = Rs. (100/125 x 4000) = Rs.3200
  C.P of 2nd commodity = Rs, (8000 – 3200) = Rs. 4800.
  S.P of 2nd commodity = 4000.
  ∴loss on 2nd commodity = (800/4800 x 100)% = 16 2/3%
Question 84.

A house and shop were sold for Rs. 1 lakh each. In this transaction the house sell resulted into 20% loss whereas the shop sell resulted into 20% of profit. The entire transaction resulted in:

  1.    no loss no gain
  2.    loss of Rs. 1/12 lakh
  3.    loss of Rs. 1/18 lakh
  4.    gain of Rs.1/24 lakh
  5.    None of these
 Discuss Question
Answer: Option B. -> loss of Rs. 1/12 lakh
 -    Total S.P = Rs. 2 lakh.
  C.P of house = Rs. (100/80 x 1)lakh = Rs 5/4 lakh
  C.P of shop = Rs. (100/120 x 1)lakh = Rs. 5/6 lakh
  Total C.P = Rs. (5/4 + 5/6)lakh = Rs. 25/12 lakh
 
   ∴ loss = Rs.(25/12 – 2)lakh = Rs. 1/12 lakh.
Question 85.

Ranjan purchased 120 tables at price of Rs. 110 per table. He sold 30 tables at a profit of Rs. 12 per table and 75 tables at profit of Rs. 14 per tables. The remaining tables were sold at a loss of Rs. 7 per table. What is the average profit per table?

  1.    Rs 10.04
  2.    Rs 10.875
  3.    Rs 12.80
  4.    Rs 12.875
  5.    None of these
 Discuss Question
Answer: Option B. -> Rs 10.875
 -    Total C.P = Rs. (120 x  110) =Rs. 13200.
  Total S.P = Rs.[(30 x 110 + 30 x 12) + (75 x 110 + 75 x 14) + (15 x 110 - 15 x 7)
                  =Rs..14505
 
  Average profit = Rs. (14505 – 13200) /120
  = Rs. 1305/120
  = 10.875
Question 86.

Hemant sold 10 sarees for a total profit of Rs. 460 and 12 sarees for a total profit of Rs. 144. At what profit per saree should he sell the remaining 20 sarees so that he gets an average profit of Rs. 18 per sarees?

  1.    Rs 7.40
  2.    Rs 7.60
  3.    Rs 7.80
  4.    Rs 8.00
  5.    None of these
 Discuss Question
Answer: Option B. -> Rs 7.60
 -    Total profit required = Rs.(42 x 18) = Rs.756
  Profit on 22 sarees = Rs. (460 + 144) = Rs. 604
  Profit on 20 sarees = Rs. (756 – 604) = Rs. 152
 
  Average profit on these sarees = Rs.(152/20) = Rs. 7.60
Question 87.

Sanket purchased 20 dozen notebook at Rs. 48 per dozen. He sold 8 dozen at 10% profit and remaining 12 dozen with 20% profit. What is his profit percentage in the transaction?

  1.    7.68
  2.    15
  3.    16
  4.    19.2
  5.    None of these
 Discuss Question
Answer: Option C. -> 16

 -    C.P of 20 dozen = Rs.(48 x 20) = Rs.960
  C.P of 8 dozen = Rs. (48 x8) = Rs. 384.
  C.P of 12 dozen =Rs. (960 – 384) = Rs. 576
  Total S.P = Rs. (110/100 x 384 +120/100 x 576) = Rs.1113.60
      ∴ Profit % = (153.60/960 x 100)% =16%

Explanation:

To calculate Sanket's profit percentage in this transaction, we need to determine the total cost and total revenue from the sale of the notebooks.

Let's consider the cost price (C.P) of 1 notebook is Rs. 4. Then, the cost price of a dozen notebooks will be 12 * 4 = Rs. 48.

The cost price of 20 dozen notebooks is 20 * 48 = Rs. 960.

Now, let's calculate the selling price (S.P) of 8 dozen notebooks sold at 10% profit:

  • The profit on 1 notebook is 4 * 10/100 = Rs. 0.40
  • The selling price of 1 notebook will be 4 + 0.40 = Rs. 4.40
  • The selling price of 1 dozen notebooks will be 12 * 4.40 = Rs. 52.80
  • The selling price of 8 dozen notebooks will be 8 * 52.80 = Rs. 422.40

Let's calculate the selling price of 12 dozen notebooks sold at 20% profit:

  • The profit on 1 notebook is 4 * 20/100 = Rs. 0.80
  • The selling price of 1 notebook will be 4 + 0.80 = Rs. 4.80
  • The selling price of 1 dozen notebooks will be 12 * 4.80 = Rs. 57.60
  • The selling price of 12 dozen notebooks will be 12 * 57.60 = Rs. 691.20

Finally, let's calculate the total revenue from the sale of 20 dozen notebooks:

  • Total revenue = revenue from 8 dozen notebooks + revenue from 12 dozen notebooks = 422.40 + 691.20 = Rs. 1113.60

Now, let's calculate the profit percentage:

  • Profit = Total revenue - Cost price = 1113.60 - 960 = 153.60
  • Profit Percentage = (Profit / Cost price) * 100 = (153.60 / 960) * 100 = 16%

Hence, the correct answer is C) 16.

Question 88.

A man purchased sugar worth Rs. 400. He sold 3/4 at a loss of 10% and the reminder at a gain of 10%. On the whole he gets:

  1.    loss of 5%
  2.    a gain of 5.5%
  3.    a loss of 5 1/19%
  4.    a loss of 5 5/19%
  5.    None of these
 Discuss Question
Answer: Option A. -> loss of 5%

 -    C.P of 3/4th = Rs. (3/4 x 400) = Rs. 300,
  C.P of 1/4th = Rs. 100
  ∴ Total S.P = (90% of Rs. 300 + 110% of Rs. 100) = Rs. 380
 
                    Loss = (20/400 x 100)% = 5%


Let's assume the quantity of sugar purchased by the man to be 1 unit and its cost price to be Rs. 400. Then,

Cost price of 1 unit of sugar = Rs. 400

Total cost price of sugar = Rs. 400 x 1 = Rs. 400

The man sold 3/4 of the sugar at a loss of 10%. So, the selling price of 3/4 unit of sugar can be calculated as:

Selling price of 3/4 unit of sugar = (1 - 10/100) x (3/4) x 400 = Rs. 270

The man sold the remaining 1/4 unit of sugar at a gain of 10%. So, the selling price of 1/4 unit of sugar can be calculated as:

Selling price of 1/4 unit of sugar = (1 + 10/100) x (1/4) x 400 = Rs. 110

The total selling price of sugar = Rs. 270 + Rs. 110 = Rs. 380

Therefore, the man incurred a loss of Rs. 400 - Rs. 380 = Rs. 20.

Now, the profit or loss percentage can be calculated as:

Profit or loss percentage = (Amount of profit or loss / Cost price) x 100%

= (20 / 400) x 100%

= 5%

Therefore, the man gets a loss of 5% on the whole (Option A).

Explanation:

  • Cost price is the price at which a product is purchased by the seller.
  • Selling price is the price at which a product is sold by the seller.
  • Profit or loss is the difference between the selling price and the cost price.
  • Profit or loss percentage is the percentage of the profit or loss with respect to the cost price.
  • If a product is sold at a higher price than its cost price, the seller gets a profit, and if it is sold at a lower price than its cost price, the seller incurs a loss.
  • To calculate the profit or loss percentage, we divide the amount of profit or loss by the cost price and multiply the result by 100%.
Question 89.

A property dealer sells a house for Rs.6,30,000 and in the bargain makes a profit of 5% .Had he sold it for Rs.5,00,000 then what percentage of loss or gain he would have made?

  1.    2 1/4% gain
  2.    10% loss
  3.    12 1/2% loss
  4.    16 2/3% loss
  5.    None of these
 Discuss Question
Answer: Option D. -> 16 2/3% loss
 -    C.P. = Rs(100/105 x 630000) = Rs. 6,00,000
  Required loss% = (100000/600000 x 100)%  = 16 (2/3)%
Question 90.

The ratio of the cost price and the selling price is 4:5. The profit percent is:

  1.    10%
  2.    20%
  3.    25%
  4.    30%
  5.    None of these
 Discuss Question
Answer: Option C. -> 25%
 -    Let C.P. = Rs. 4x Then, S.P. = Rs. 5x
 
  Gain = Rs. (5x - 4x) = Rs.x
  Gain% = (x/4x) 100% =25%

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