CTET Maths - Algebra

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21. A camera is sold for 4600Rs. If it was sold at a profit of 15%, what was its CP?

  • Option : C
  • Explanation : CP = ( 100/(100 + profit %) ) x SP = 100/115 x 4600 = 4OOO
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22. A farmer sell his two cows. On one, he gains 25% and on the other, he losses 25%. Find his gain or loss percent in the whole transaction.

  • Option : B
  • Explanation : In such cases, loss is incurred always.
    Thus, the farmer occurs the loss.
    Loss percentage =(25)2 /100 % = (625/100)%= 6.25%
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23. A dishonest dealer professes to sell his goods at cost price but he uses a weight of 900 gm in place of 1 kg. Find his gain per cent.

  • Option : B
  • Explanation : According to the formula, Gain percentage = Error / (True Error -Error) X 100% . = [100/ (1000-100)] x 100% = (100/900) X 100% = 100/9 %
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24. If the cost price is 95% of the selling price, what is the profit percent?

  • Option : D
  • Explanation : Let SP = 100 Rs. CP = 95 Rs. Profit = (100 - 95)Rs = 5Rs. ProfIt percentage = (profit/ CP) X 100%. = (5/95) X 100% = 5.26%
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25. If a watch is sold for 120Rs , there is a loss of 15%. For a profit of 2%, the watch should be sold for

  • Option : A
  • Explanation : SP = 120 Rs, Loss percent = 15% ∴ cp = (100/ (100 - Loss%) x SP = 100/85 x 120 = 2400/17 Now, gain percent = 2% ∴ Required SP = (100 + gain%)/100 x CP. =(102/100) X 2400/17 = 144 Rs
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