Quiz

Question:

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?

Options:
A.2 1/4% gain
B.10% loss
C.12 1/2% loss
D.16 2/3% loss
E.None of these
Answer: Option D
 -    C.P. = Rs(100/105 x 630000) = Rs. 6,00,000

  Required loss% = (100000/600000 x 100)%  = 16 (2/3)%

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Question 1.

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:

Options:
  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
Answer: Option A
 -    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%
Question 2.

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?

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

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?

Options:
  1.    Rs 7.40
  2.    Rs 7.60
  3.    Rs 7.80
  4.    Rs 8.00
  5.    None of these
Answer: Option B
 -    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 4.

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

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

  Gain% = (x/4x) 100% =25%
Question 5.

A trade mixes 26 kg of rice at Rs.20 per kg with 30 kg of  other of variety at Rs. 36 per kg and sell the mixture at Rs.30 per kg. His profit percent is:

Options:
  1.    No profit, no loss
  2.    5%
  3.    8%
  4.    10%
  5.    None of these
Answer: Option B
 -    C.P. of 56 kg rice = Rs(26 x 20 + 30 x 36) = Rs.(520+1080) = Rs. 1600

  S.P. of 56 kg. rice = Rs (56 x 30) = Rs.  (56 x 30)  = Rs.1680

  Gain= (80/1600 x 100)% =5%
Question 6.

The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of the article?

Options:
  1.    2 : 7
  2.    5 : 2
  3.    7 : 2
  4.    Data inadequate
  5.    None of these
Answer: Option D
 -    Let C.P.- Rs.5x and S.P. = Rs. 7x  Then, gain = Rs. 2x

  Required ratio = 2x:5x= 2:5