Question

4% of X + 25% of 80 = 50, what is the value of X?
w
1. 0700
2.0 1000
3. O 500
4.0 750​

Answer 1

Answer:

option 4 (750)

Step-by-step explanation:

4%x+25%of 80=50

4%x+ 1/4(80)= 50

4%x+ 20 = 50

4%x=30

1/25x=30

x=750

Answer 2

★ How to do :-

Here, we are given with some of the value which is written in percent form. We are also given with an other percentage value on LHS in which those two are to be added. The sum of those two percentage values are also given on the RHS. But, we aren't given with the value of a whole quantity on the LHS. It's written by a variable x. We are asked to find the value of that variable x. So, first we will find the value of the second percentage given at LHS. Then, we shift that value from LHS to RHS. Later, we find the value of x. So, let's solve!!

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➤ Solution :-

${\sf \leadsto 4 \% \: of \: x + 25 \% \: of \: 80 = 50}$

Write the percentage as fractional form and 'of' as multiplication sign.

${\tt \leadsto \bigg( \dfrac{4}{100} \times x \bigg) + \bigg( \dfrac{25}{100} \times 80 \bigg) = 50}$

Multiply the second bracket on LHS.

${\tt \leadsto \cancel \dfrac{25}{100} \times 80 = \dfrac{1}{4} \times 80}$

Multiply the remaining numbers.

${\tt \leadsto \dfrac{1 \times 80}{4} = \dfrac{80}{4}}$

Write the fraction in lowest form by cancellation method.

${\tt \leadsto \cancel \dfrac{80}{4} = 20}$

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Now, replace the answer in it's place.

${\sf \leadsto 4 \% \: of \: x + 20 = 50}$

Shift the number 20 from LHS to RHS, changing it's sign.

${\tt \leadsto 4 \% \: of \: x = 50 - 20}$

Subtract the values on RHS.

${\tt \leadsto 4 \% \: of \: x = 30}$

Write the percentage as fraction and 'of' as multiplication sign.

${\tt \leadsto \dfrac{4}{100} \times x = 30}$

Shift the number 30 from RHS to LHS, changing it's sign.

${\tt \leadsto x = \dfrac{30 \times 100}{4}}$

Write the numerator and denominator in lowest form by cancellation method.

${\tt \leadsto x = \dfrac{30 \times \cancel{100}}{\cancel{4}} = \dfrac{30 \times 25}{1}}$

Multiply the numbers to get the answer.

${\tt \leadsto \dfrac{750}{1} = 750}$

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${\red{\underline{\boxed{\bf So, \: the \: value \: of \: x = 750}}}}$