A man buys a chair and a table for Rs. 6000. He sells the chair

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11.

A man buys a chair and a table for Rs. 6000. He sells the chair at a loss of 10% and the table at a gain of 10%. He still gains Rs. 100 on the whole. The cost price of the chair is

  • Rs. 2500

  • Rs. 2850

  • Rs. 3050

  • Rs. 3050


A.

Rs. 2500

Let the C.P. of the chair be Rs. x 
∴  C.P. of the table be Rs. (6000 - x)
then,
Total S.P.
equals space straight x space cross times space 90 over 100 space plus space left parenthesis 6000 minus straight x right parenthesis space cross times space 110 over 100
rightwards double arrow space space space space fraction numerator 9 straight x over denominator 10 end fraction space plus space fraction numerator left parenthesis 6000 minus straight x right parenthesis 11 over denominator 10 end fraction space equals space 6100
rightwards double arrow space space space fraction numerator 9 straight x over denominator 10 end fraction space plus space fraction numerator left parenthesis 6000 minus straight x right parenthesis space 11 over denominator 10 end fraction space equals space 6100
rightwards double arrow space space space 9 straight x space plus space 66000 space minus space 11 straight x space equals space 61000
rightwards double arrow space space space 2 straight x space equals space 66000 space minus space 61000 space equals space 5000
rightwards double arrow space space space straight x space equals space Rs. space 2500

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12.

What percentage of profit on cost price equals 30% of profit on selling price?

  • 33 1 third
  • 36

  • 38 4 over 7
  • 38 4 over 7
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13.

A dealer allows his customers a discount of 25% and still gains 25%. If an article costs Rs.1,440 to the dealer; then its marked price is

  • Rs.1,850

  • Rs.2,400

  • Rs.2560

  • Rs.2560

103 Views

14.

The difference between a discount of 30% and two successive discounts of 20% and 10% on the marked price of an article is Rs. 144. The marked price of the article is

  • Rs. 7,200

  • Rs.7,400

  • Rs. 7,500

  • Rs. 7,500

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15.

A tradesman marks his goods at 20% above the cost price. He allows his customers a discount of 8% on the marked price. Then his profit per cent is 

  • 10.4%

  • 11%

  • 12.2%

  • 12.2%

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16.

If a man reduces the selling price of a fan from Rs. 1,250 to Rs. 1,000, his loss increases by 10%. The cost price of the fan is

  • Rs. 2,400

  • Rs. 2,450

  • Rs. 2,500

  • Rs. 2,500

231 Views

17.

A man sold an article at a gain of 5%. Had he sold it for Rs. 240 more, he would have gained 8%. The cost price of the article is 

  • Rs. 6,000

  • Rs. 10,000

  • Rs. 12,000

  • Rs. 12,000

177 Views

18.

The profit obtained by selling an article for Rs. 625 is same as the loss incurred if it is sold for Rs. 545. The price at which it is to be sold to realize a profit of Rs. 65 on the cost price is

  • Rs.640

  • Rs. 630

  • Rs. 650

  • Rs. 650

135 Views

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19.

Rahul sells a machine for ₹ 50 lakh at a loss. Had he sold it for ₹ 60 lakh, his gain would have 7 times the earlier loss. What is the cost price of the machine?

  • ₹ 51.25 lakh

  • ₹ 58.75 lakh

  • ₹ 67.14 lakh

  • ₹ 43.75 lakh


20.

If a merchant offers a discount of 20% on the list price, then she makes a loss of 16%. What percent profit or percent loss will she make if she sells goods at a discount of 10% of the list price?

  • 14% profit

  • 20% profit

  • 50% profit

  • 5.5% loss


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