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 Multiple Choice QuestionsMultiple Choice Questions

101.

A sells an article to B for Rs. 45000 losing 10% in the transaction. B sells it to C to a price which would have given a profit of 10% to A. By what percent does B gain?

  • 75 over 2
  • 100 over 3
  • 200 over 9
  • 150 over 7

C.

200 over 9

A'S C.P.
 equals space 45000 space cross times space 100 over 90 space space equals space ₹ space 50 comma 000
As B sells  to C at 10% profit on A's CP
∴  B'S S.P.

   equals space 50000 space cross times space 110 over 100 space equals space ₹ space 55000
B's C.P. = A'S S.P. = ₹ 45000
∴  B'S Profit per cent
     equals space 10000 over 45000 space cross times space 100 space equals space 200 over 9


189 Views

102.

A man had a certain amount with him. He spent 20% of that to buy an article and 5% of the remaining on transport. Then he gifted ₹ 120. If he is left with ₹ 1,400, the amount he spent on transport is

  • ₹ 76

  • ₹ 61

  • ₹ 95

  • ₹ 80


D.

₹ 80

Let a man had ₹ x in the initial.
Now, according to the question,
rightwards double arrow space space space straight x space cross times space 80 over 100 space cross times space 95 over 100 space minus space 120 space equals space 1400
rightwards double arrow space space fraction numerator 4 straight x over denominator 5 end fraction space cross times space 95 over 100 space equals space 1520
rightwards double arrow space space fraction numerator 19 straight x over denominator 25 end fraction space equals space 1520
rightwards double arrow space space space straight x space space equals space 2000
∴  Expenditure on transport
   rightwards double arrow space space 2000 space cross times space 80 over 100 space cross times space 5 over 100 space equals space ₹ space 80

 

262 Views

103.

Tarun bought a T.V. with 20% discount on the labelled price. Had he bought it with 25% discount, he would have saved ₹ 500. At what price did he buy the T.V.?

  • ₹ 7,500

  • ₹ 8,500

  • ₹ 8,000

  • ₹ 7,400


C.

₹ 8,000

Shortcut Method:
(25% - 20%) x Labelled Price = ₹ 500
rightwards double arrow space space 5 over 100 space cross times space straight L. straight P. space equals space 500
rightwards double arrow space space space straight L. straight P. space equals space 10000

therefore space space straight C. straight P. space equals space 10000 space cross times space 80 over 100 space equals space ₹ 8000
151 Views

104.

A shopkeeper sells sugar in such a way that the selling price of 950g of sugar is the same as the cost price of 1 kg of sugar. What is his gain percent?

  • 5 5 over 19
  • 5 1 fifth
  • 5

  • 4 1 over 19

A.

5 5 over 19

Required profit per cent
   equals space fraction numerator True space weight space minus space False space weight over denominator False space weight end fraction
equals space fraction numerator 1000 space minus space 950 over denominator 950 end fraction space cross times space 100
equals space 100 over 19 space equals space 5 5 over 19

137 Views

105.

A sells an article to B making a profit of 1 fifth of his outlay, B sells it to C, gaining 20%. If C sells it for ₹ 600 and incurs a loss of 1 over 6 of his outlay, the cost price of A is

  • ₹ 600

  • ₹ 500

  • ₹ 720

  • ₹ 800


B.

₹ 500

Selling for C = ₹ 600
Cost price for C
CP - S.P. = 1 over 6 straight C. straight P.

rightwards double arrow space space straight C. straight P. space minus space 1 over 6 straight C. straight P. space equals space straight S. straight P.
rightwards double arrow space space 5 over 6 straight C. straight P. space equals space 600
rightwards double arrow space space straight C. straight P. space equals space ₹ space 720

Cost price for C equals to selling price for B.
∴  Selling price for B = ₹ 720
  Gain  = 20%
Cost price for B
   rightwards double arrow space space open parentheses fraction numerator 720 space cross times space 100 over denominator 120 end fraction close parentheses space equals space ₹ space 600
Cost price for B equals to the Selling price for A.
∴  Selling price for A = ₹ 600
 Cost price for A
S.P. - C.P. = 1 fifth straight C. straight P.
rightwards double arrow space space 600 space equals space 6 over 5 straight C. straight P.
rightwards double arrow space space straight C. straight P. space equals space ₹ space 500
 

132 Views

106.

A sells an article to B at 15% profit. B sells it to C at 10% loss. If C pays Rs. 517.50 for it then A purchased it at

  • Rs. 500

  • Rs. 750

  • Rs. 1000

  • Rs. 1250


A.

Rs. 500

Shortcut Method:
If an article is old to B at x% profit/loss and B sells the same to C at y% profit loss. then A's CP.equals
 fraction numerator straight C apostrophe straight s space CP space cross times space 100 space cross times space 100 over denominator left parenthesis 100 plus-or-minus straight x right parenthesis thin space left parenthesis 100 plus-or-minus straight y right parenthesis end fraction
∴ Required solution
equals space open parentheses fraction numerator 517.50 space cross times space 100 space cross times space 100 over denominator 90 space cross times space 115 end fraction close parentheses
equals space Rs. space 500


125 Views

107.

A trader allows a trade discount of 20% and a cash discount of 6 1 fourth percent sign on the marked price of the goods and gets a net gain of 20% of the cost. By how much above the cost should the goods be marked for the sale?

  • 40%

  • 50%

  • 60%

  • 70%


C.

60%

Let the C.P. of article  = ₹ 100
 Marked price  = ₹ x.
Single equivalent discount
equals space open parentheses 20 plus space 25 over 4 minus fraction numerator 20 space cross times space 25 over denominator 400 end fraction close parentheses percent sign
equals space 25 percent sign
therefore space space space space space straight x space cross times space 75 over 100 space equals space 100 space cross times space 120 over 100
rightwards double arrow space space space space space space straight x space equals space ₹ space 160
Required percentage
space equals space fraction numerator 160 minus 100 over denominator 100 end fraction cross times space 100
equals space 60 percent sign

301 Views

108.

A fan in a shop is offered at a discount of 10%. It is sold during clearance sale at 6% discount over the already discounted price at ₹ 846. The original marked price of the fan is

  • ₹ 1000

  • ₹ 946

  • ₹ 850

  • ₹ 896


A.

₹ 1000

Required M.P.
equals space open parentheses fraction numerator 846 space cross times space 100 space cross times space 100 over denominator left parenthesis 100 minus 10 right parenthesis space cross times space left parenthesis 100 minus 6 right parenthesis end fraction close parentheses
equals space open parentheses fraction numerator 846 space cross times space 100 space cross times space 100 over denominator 90 space cross times space 94 end fraction close parentheses space equals space ₹ space 1000

131 Views

109.

A person bought a horse and a carriage for Rs. 20000. Later, he sold the horse at 20% profit and the carriage at 10% loss. Thus, he gained 2% in the whole transaction. The cost price of the horse was

  • Rs. 7200

  • Rs. 7500

  • Rs. 8000

  • Rs. 9000


C.

Rs. 8000

Overall gain - 2% 
Profit percent on horse  = 20%
Loss percent on carriage  = 10%
Required ratio  = (2-(-10)) : (20 - 2) = 12 : 18 = 2 : 3
∴  The cost price of the horse was
   equals space open parentheses 2 over 5 space cross times space 20000 close parentheses space equals space ₹ space 8000

188 Views

110.

The cost price of an article is 80% of its marked price for sale. How much per cent does the tradesman gain after allowing a discount of 12%?

  • 20

  • 12

  • 10

  • 8


C.

10

Let the marked price of the article  = Rs. 100
∴   C.P. of an article  =  Rs. 80
Discount  = 12%
∴  S.P. of an article  = (100 - 12% of 100) = 100 - 12 = Rs. 88
Gain%= open parentheses fraction numerator 88 minus 80 over denominator 80 end fraction cross times space 100 close parentheses space equals space 8 over 80 cross times space 100 space equals space 10 percent sign


267 Views