A company divided a bonus among its employees A, B, and C in the ratio 2 : 3 : 7. C's bonus was X% more than the combined bonus of A and B. Find X.

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Worked solution

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1. Find the ratio parts for the combined bonus of A and B and for C

A : B : C =2:3:7=2:3:7

Combined bonus of A and B =2+3=5=2+3=5 parts.

C's bonus =7=7 parts.

2. Find how much more C received than A and B combined

Excess of C's bonus over the combined bonus of A and B

=7−5=2=7-5=2 parts.

3. Express the excess as a percentage of the combined bonus of A and B

X=25×100%X=\dfrac{2}{5}\times 100\%

=40%=40\%

Answer

X=40X=40

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