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Question

An item is sold at two successive gains of 30% and 20%. If the final selling price is Rs. 31200, then what is the cost price (in Rs.)?

This question was previously asked in
SSC CGL 2017 (Tier 1) Previous Year Paper (16-Aug-2017) (Shift 1)
The correct answer is

20000

Successive gains multiply: \(SP = CP\times 1.30\times 1.20 = 1.56\,CP\).

\[CP = \frac{31200}{1.56} = 20000\]

Therefore the cost price is Rs. 20000.

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Similar Questions

  1. 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:

  2. A trader sells an article at 16% below its cost price. Had he sold it for Rs. 192.20 more, he would have gained 15%. The cost price (in Rs.) of the article is:

  3. A shopkeeper by selling 5 items, earns a profit equal to the selling price of 1 item. What is his profit percentage?

  4. By what fraction selling price (S. P.) must be multiplied to get the cost price (C. P.) if the loss is 20%?

  5. Remi earns a profit of 20% on selling an article at a certain price If she sells the articles for Rs. 8 more, she will gain 30% What is the original cost price of 16 such articles?

  6. On selling an article for Rs 123.40, the gain is 20% more than the amount of loss incurred on selling it for Rs.108. If the article is sold for Rs. 120.75, then what is the gain/loss per cent?

  7. An article is listed at Rs. 7,600 and the discount offered for the unit is 10%. What additional discount must be given to bring the net selling price to Rs. 5,814?

  8. A man sells two articles at Rs. 9,975 each. He gains 5% on one article and loses 5% on the other. Find his overall gain or loss.

  9. The marked price of an article is Rs. 740. After two successive discounts of 15% and x%, it is sold for Rs. 566.10. What is the value of x?

  10. A dealer sold 6 sewing machines for Rs. 63,000 with a profit of 5%. For how much should be sell 8 machines if he intends to earn 15% profit?


Important Questions from Successive Selling

  1. The increase in the price of a certain item was 25%. Then the price was decreased by 20% and then again increased by 10%. What is the resultant increase in the price?

  2. The selling price of 24 articles is equal to the cost price of 26 articles. If, due to a change in market conditions, the selling price of each article decreases by $10\%$ and the cost price of each article increases by $5\%$, what will be the new gain or loss percentage (correct to two decimal places)?
  3. Anil bought some articles at 6 for Rs. 8 and sold them at 10 for Rs. 12. His percentage loss or gain is:

  4. The price of an article becomes Rs. 63 after a decrease of 30 percent. Find the original price. (in Rs.)

  5. A man buys an article for 10 percent less than its value and sells it for 10 percent more than its value. His profit or loss percent is:

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