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Profit and Loss

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If 20% of the goods are sold at 50% profit, 40% of the goods at 20% loss, 20% of the goods at 5% loss and the remaining at no loss or no profit, then the overall profit percentage is:
(a) 5% (b) 8% (c) 4% (d) 1%

Neraj (TG) 05/06/2024 12:09 pm
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A shopkeeper earns the same percent of profit as well as loss by selling two similar pieces of furniture for Rs 18000 and Rs 10000, respectively. At what price should he sell it to earn a profit of 50%?
(a) Rs 21,000 (b) Rs 20,250 (c) Rs 21,750 (d) Rs 19,500

Neraj (TG) 05/06/2024 12:12 pm
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Anu fixes the selling price of an article at 25% above its cost of production. If the cost of production goes up by 20% and she raises the selling price by 10% then her percentage profit is (correct to one decimal place):

  1. 14.6%
  2. 13.8%
  3. 15.2%
  4. 16.4%
Neraj (TG) 05/06/2024 11:59 am

@neha-singh 

Let cost price of the article be Rs. 100

Selling price of the article = 100 x 125/100 = Rs. 125

Profit = 125-100 = Rs. 25

New cost price of the article = 100 × (120/100) = Rs. 120

New selling price of the article = 125 x (110/100) = Rs. 137.5

New profit = 137.5 - 120 = 17.5

.. Profit percentage = (17.5/120) x 100 = 14.6%

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A person sells an article at a profit of 12%. If he had purchased it for 12% less and sold it for Rs. 9 less, he would have gained 27%. What is the original cost price of the article?

  1. Rs. 4,500
  2. Rs. 4,000
  3. Rs. 4,250
  4. Rs. 3,750
Neraj (TG) 05/06/2024 11:58 am

@neha-singh 

Let the cost price of the article be Rs. 100.

Selling price would be Rs. 112.

New cost price (12% less) = Rs 88

New selling price (27% profit) = 127% of 88 = Rs. 111.76

Now, the difference between both selling prices = 112-111.76 = Rs. 0.24

When the difference is 0.24, CP = Rs. 100

When the difference is 9, CP = 100 × 9/0.24 = Rs. 3750

Hence the cost price of the article is Rs. 3750.

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Radha bought a fridge and a washing machine together for Rs. 57300. She sold the fridge at a profit of 15% and washing machine at a loss of 24% and both are sold at the same price. The cost price of washing machine (in Rs.) is:

  1. 22800
  2. 34500
  3. 28650
  4. 24500
Neraj (TG) 05/06/2024 11:57 am
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A shopkeeper gives two successive discounts of 20 % and 10 % on surplus stock. Further, he also gives a 5 % extra discount on cash payments. If a person buys a shirt from the surplus stock and pays in cash, what overall discount percent will he get on the shirt?

Neraj (TG) 23/07/2024 5:28 pm

@neha-singh 

Let the marked price of the shirt be Rs. 1000 => Price after first discount = Rs. 1000 – 20 % of Rs. 1000 = Rs. 1000 – 200 = Rs. 800 => Price after second discount = Rs. 800 – 10 % of Rs. 800 = Rs. 800 – 80 = Rs. 720 => Price after cash discount = Rs. 720 – 5 % of Rs. 720 = Rs. 720 – 36 = Rs. 684 Therefore, total discount = Rs. 1000 – 684 = Rs. 316 => Overall discount percent = (316 / 1000) x 100 = 31.60 % 

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Vijay bought a fridge and a washing machine together for Rs. 38,200. He sold the fridge at a profit of 15% and washing machine at a loss of 24% and both are sold at the same price. The cost price of the washing machine is:

1.Rs.24,000

2.Rs.22,000

3.Rs.23,000

4.Rs.26,000

Neraj (TG) 03/08/2024 6:59 pm
Neraj (TG) 11/08/2024 6:58 pm
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A dishonest shopkeeper used a faulty balance that balances when 11kg is one pan and 10kg is in the other. He sells after hiking the cost price of the product by 10%. If he cheats the farmer while buying and the buyer while selling through his faulty balance, find his actual gain percent in the whole transaction.

a. 33.1%                  b. 22%                                  c. 22.22%                d. 30%

Neraj (TG) 11/08/2024 6:54 pm
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Neraj (TG) 11/08/2024 6:54 pm
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