Calvin Learnt Percentages!

Algebra Level 1

Once Calvin learnt percentages and he was curious about finding percentages of percentages. What is

10 % of 20 % of 30 % of 40 % of 25000 ? 10\% \text{ of } 20\% \text{ of } 30\% \text{ of } 40\% \text{ of } 25000?


The answer is 60.

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5 solutions

Feathery Studio
Jun 18, 2015

By converting the percentage into fractions, we have 10 % = 10 100 , 20 % = 20 100 , 30 % = 30 100 , 40 % = 40 100 . 10\% = \dfrac{10}{100}, 20\% = \dfrac{20}{100}, 30\% = \dfrac{30}{100}, 40\% = \dfrac{40}{100} .

Thus, 10 % 10\% of 20 % 20\% of 30 % 30\% of 40 % 40\% of 25000 25000 is equals to

10 100 × 20 100 × 30 100 × 40 100 × 25000 = 1 0 10 0 × 2 0 10 0 × 3 0 10 0 × 4 0 10 0 × 25000 = 1 10 × 2 10 × 3 10 × 4 10 × 25000 = 1 1 0 × 2 1 0 × 3 1 0 × 4 10 × 25 000 = ( 1 × 2 × 3 × 4 ) × 25 × 1 10 = 60 \begin{aligned} &&\dfrac{10}{100} \times \dfrac{20}{100} \times \dfrac{30}{100} \times\dfrac{40}{100} \times 25000 \\ &=& \dfrac{1\cancel0}{10\cancel0} \times \dfrac{2\cancel0}{10\cancel0} \times \dfrac{3\cancel0}{10\cancel0} \times\dfrac{4\cancel0}{10\cancel0} \times 25000 \\ &=& \dfrac1{10} \times \dfrac2{10} \times \dfrac3{10} \times \dfrac4{10} \times 25000 \\ &=& \dfrac1{1\bcancel0} \times \dfrac2{1\bcancel0} \times \dfrac3{1\bcancel0} \times \dfrac4{10} \times 25\bcancel{000} \\ &=& (1\times2\times3\times4) \times 25 \times \dfrac1{10} \\ &=& \boxed{60} \end{aligned}

Bamlak Terefe
Jun 23, 2015

its easy you always start form the end and work your way to the beginning

Soumya Mondal
Jun 20, 2015

(10/100) * (20/100) * (30/100) * (40/100) * 25000 = 60

Jesus Rodriguez
Feb 28, 2016

25,000 x 0.40 x 0.30 x 0.20 x 0.10 = 60

Achille 'Gilles'
Feb 28, 2016

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