Tag: percentage of a quantity

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Multiple choice maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

A reduction of 20% in the price of rice enables a person to buy 3.5 kg more for Rs. 77. Then the original price per kg is

  1. Rs. 4.00

  2. Rs. 4.50

  3. Rs. 5.00

  4. Rs. 5.50
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the original price of rice be $Rs. x\ per\ kg$.


New price $=\dfrac{4x}{5}\ per\ kg$

According to the question,
$\dfrac{77}{\dfrac{4x}{5}}-\dfrac{77}{x}=3.5$
$\dfrac{385-308}{4x}=3.5$
$\dfrac{77}{4x}=3.5$
$x=\dfrac{77}{14}$
$x=Rs.5.5\ per\ kg$

Hence, this is the answer.