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Basic Math MCQ 2 (Percent of a number added to other number ,result is same, what is the number?)

MCQ2 : 85% of a number is added to 24, the result is the same number. Find the number?

a) 150            b) 130        c) 140            d) 160

Solution:

 

Let the number is ‘x’

85% of the number ​\( = \frac{85}{100}\times x \)

By given condition if 85% of ‘x’ is added to 24 then result is again the same number i-e ‘x’

Mathematically,

\[  \frac{85}{100}\times x + 24 = x \]

This gives;

\[ \frac{85}{100}\times x=x-24 \]

\[ 85x=100(x-24) \]

\[ 85x=100x-2400 \]

\[ 100x-85x=2400 \]

\[ 15x=2400 \]

\[ x= \frac{2400}{15}=160 \]

So the number is 160

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