Lakshya Education MCQs

Question:

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:
A.2 : 7
B.5 : 2
C.7 : 2
D.Data inadequate
E.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

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More Questions on This Topic :

Question 1.

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 2.

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 3.

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:
  1.    2 1/4% gain
  2.    10% loss
  3.    12 1/2% loss
  4.    16 2/3% loss
  5.    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)%
Question 4.

A man gain 20% by selling  an article for a certain price. If he sells It he sells it at double the price the percentage of profit will be :

Options:
  1.    40
  2.    100
  3.    120
  4.    140
  5.    None of these
Answer: Option D
 -    Let C.P. = Rs.a Then , S.P. = Rs.(120%of a) = Rs. 6a/5
     
  New S.P. = Rs (2x 6a/5) = Rs.12a/5, Profit = Rs (12a/5 - a)

  = Rs. 7a/5

  Profit % = (7a/5 x 1/a x100)% = 140%
Question 5.

A trade man sold an article at a loss of 20 % . If the selling price had been increased by Rs.100, there would have been a gain of 5%. What was the cost price of the article?

Options:
  1.    200
  2.    300
  3.    400
  4.    500
  5.    None of these
Answer: Option C
 -    Let C.P.be Rs.x. Then, (150%of x) –(80% of x) = 100

  or 25% of x = 100

  x/4 = 100  or  x = 400

  So, C.P.=Rs.400

Question 6.

When a producer allows 36% commission on the retail price of his product, he earns of 8.8%. What would be his profit percent if the commission is reduced by 24%?

Options:
  1.    48.6%
  2.    49.6%
  3.    50.6%
  4.    52.6%
  5.    None of these
Answer: Option B
 -    Let retail price = Rs. 100 Then, commission = Rs.36

  S.P. = Rs. (100-36) = Rs. 64

  But, profit =8.8%

  C.P. = Rs.(100/108.8 x 64) = Rs 1000/17

  Now commission = Rs.12 New S.P.= Rs. (100-12) = Rs.88.

  Gain = Rs.(88-1000/17) = Rs. 496/17

  Gain% = (496/17 x 17/1000 x 100)% = 49.6%