Question

if the difference between 57% of a number and 23% of the same number is 1734 then find 41% of a number

Answer 1

57/100 x - 23/100 x =1734
so, x=(1734 x 100)/(57-23)
=173400/34
thus 41% of x= (41x)/100
= (41x173400)/(100x34)
=2091

Answer 2

The given question is if the difference between 57% of a number and 23% of the same number is 1734 then find 41% of a number.

The difference between 57 % and 23% is 1734.

we have to find the 41% of the same number.

let the number be x.

let us find the x first then we can find the 41% of that number.

The expression based on the given question is

$\frac{57}{100} x - \frac{23}{100} x = 1734$

The denominator 100 denotes the percentage value.

where

$57pecent \: can \: be \: written \: as \: \frac{57}{100}$

The same concept for 23%/also

taking x as a common term we get,

$x( \frac{57}{100} - \frac{23}{100} ) = 1734$

Taking LCM we get,100 as an lcm, therefore the value in the expression will. be

$x( \frac{57 - 23}{100} ) = 1734$

$x( \frac{34}{100} ) = 1734$

The 34 multiplying and 100 dividing on the left side will change into 34 divisor and 100 multipliers on the right side.

$x = (1734 \times 100) \div 34 \\ \frac{1734 \times 100}{34} = \frac{173400}{34}$

The final answer to the above expression is

$5100$The number is 51.

The 41 per cent of the given number is obtained by

$\frac{5100 \times 41}{100} = 51 \times 41 = 2091$

Therefore, the final answer to the given question is 2091.

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