What is the value of x, if 25 \% of 480+30 \% of 500+x \% of 90=35 \% of 900 ?

SSC CHSL 12 Apr 2021 Shift 2 Paper

Section: Quantitative Aptitude

Question : 51 of 100

Marks: +1, -0

What is the value of

x

, if

25 \%

480+30 \%

500+x \%

90=35 \%

of 900 ?

Solution:

Given,

25 \%

480+30 \%

500+x \%

90=35 \%

of 900

⇒ \;{25}/{100} × 480+\;{30}/{100}\;× 500+\;{x}/{100} × 90

\;\; =\;{35}/{100} × 900

⇒ \;\; 120+150+\;{9 x}/{10} \;\; =315

⇒ \;\; \;{9 x}/{10}=315-270 \;\; =45

∴ \;\; x=\;{45 × 10}/{9} \;\; =50 \%

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