Question

one third of two fifth of three sixth of a number is what percentage of that number

Answer 1

Step-by-step explanation:

let the number be "x" .

According to the question,

1/3 × 2/5 × 3/6× 'X'

= {(X/5)/X} × 100

= 100/5

=20%  

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Answer 2

One third of two fifth of three sixth of a number is 20/3 % of that number

Given :

One third of two fifth of three sixth of a number

To find :

The percentage of the number

Solution :

Solution :Step 1 of 2 :

Find One third of two fifth of three sixth of a number

Let N be the required number

Then one third of two fifth of three sixth of the number

$\displaystyle \sf{ =N \times \frac{1}{3} \times \frac{2}{5} \times \frac{3}{6} }$

$\displaystyle \sf{ =N \times \frac{1}{3} \times \frac{2}{5} \times \frac{1}{2} }$

$\displaystyle \sf{ =N \times \frac{1}{15} }$

$\displaystyle \sf{ = \frac{N}{15} }$

Step 2 of 2 :

Find the required percentage

Hence the required percentage

$\displaystyle \sf{ = \frac{ \frac{N}{15} }{N} \times 100\% }$

$\displaystyle \sf{ = \frac{100}{15} \% }$

$\displaystyle \sf{ = \frac{20}{3} \% }$

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