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What is the cost price of a bog of rice containing 30 kg if by selling at Rs 19/kg a loss of 5.%. is made?​

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Answer:

Cost price of a bog of rice containing 30 kg is Rs 542.85

Explanation:

Given:

  • Selling price of 1 kg rice = Rs 19
  • Loss percentage = 5% = 0.05
  • Number of kg of rice = 30

To find:

  • Cost price of the bag of rice

Approach:

  • Calculate the cost price per kg of rice by considering the loss percentage.
  • Multiply the cost price per kg by the number of kg of rice to find the cost price of the bag of rice.

Solution:

The cost price per kg of rice is calculated as follows:


\tt \textsf{Cost price per kg}+\textsf{ Loss \% of Cost price per kg}= \textsf{Selling price per kg}

Also written it as:


\textsf{ Cost price per kg}*\textsf{(1 + Loss \%)} = \textsf{Selling price per kg}


\textsf{ Cost price per kg}= \frac{\textsf{Selling price per kg}}{\textsf{(1 + Loss \%)}}

Substituting value


\tt \textsf{ Cost price per kg}= (19)/(1+0.05) = (19)/(1.05)


\tt \textsf{ Cost price per kg}=Rs \:18.095

The cost price of the bag of rice is calculated as follows:


\textsf{Cost price of the bag = Cost price per kg * Number of kg of rice}


\tt \textsf{Cost price of the bag = Rs } 18.095* 30


\tt \textsf{Cost price of the bag = Rs } 542.85

Therefore, the cost price of the bag of rice containing 30 kg if by selling at Rs 19/kg a loss of 5%. is made is Rs 542.85


\boxed{\textsf{Good Luck! NEPAL}}

User CnativeFreak
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