Percentage Increase in Total Price

CMAT 2021 · Quantitative Techniques & Data Interpretation · Medium · Percentages

The price of an apple is twice that of an orange. The price of an orange is thrice that of a banana. If the price of an apple increases by 10%, price of an orange increases by 30% and the price of a banana increases by 20%. Find the percentage increase in the price of 20 apples, 20 oranges and 20 bananas.

  1. A.

    19%

  2. B.

    17%

  3. C.

    15%

  4. D.

    13%

Answer

B

Explanation

Let price of banana = xx. Price of orange = 3x3x. Price of apple = 6x6x. Original total price of 1 apple + 1 orange + 1 banana = 6x+3x+x=10x6x + 3x + x = 10x. New price of apple = 6x×1.1=6.6x6x \times 1.1 = 6.6x. New price of orange = 3x×1.3=3.9x3x \times 1.3 = 3.9x. New price of banana = x×1.2=1.2xx \times 1.2 = 1.2x. New total price = 6.6x+3.9x+1.2x=11.7x6.6x + 3.9x + 1.2x = 11.7x. Percentage increase = 11.7x−10x10x×100=17%\frac{11.7x - 10x}{10x} \times 100 = 17\%.

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