A's salary is 20% more than B but 10% less than C Find how much % B's salary is less or more than C's?

Answer 1

As A > B and C > A, it follows that B < C (unless they live under different tax regimes in different countries, eg B is a writer resident in Ireland who pays no tax, and you are comparing take-home salaries!)

BUT BY HOW MUCH?

This is trickier than it looks.

Compare

(1) B earns 80 zlotys or drachmas or whatever and A earns 96 zlotys.
(2) B earns 80 zlotys and A earns 100 zlotys.

It is in fact the former that is A earning 20% more than B (120% x B's salary) as the latter would be A earning 25% more than B (125% x B's salary).

i.e. paradoxically-sounding it may be but when A earns 20% more than B, B's percentage of A's salary is NOT 80% but (80/96) x 100% = 5/6 x 100% = 83.33333 % of A's salary.

Similarly let us note that: When A earns 10% less than C (i.e. 90% of C's salary), C's salary exceeds A's by NOT 10% but 11.1111%.

So B earns 83.333% of A's salary which is in turn 90% of C's salary.

Therefore we multiply the two percentages together to arrive at B's salary as a percentage of C's salary = 75% (5/6ths of 90)

Answer 2

A= B+20%
A= C-10%
By substitution to the first equation:
C-10%=20%+B

B=C-30%

The Answer is B is 30% less than C.

Answer 3

Assume that A's salary is the base then A's salary is 1 or 100%; B's salary is 0.8 (100% - 20%); C's salary is 1.1 (100% + 10%).

B's salary in relation to C is less by:
0.3 or 30% (1.1 - 0.8)

Answer 4

A salary = x
B salary = y
C salary = z

A salary = 1.2 y
A salary = 0.9 z

1.2 y = 0.9 z
y = (0.9 / 1.2) z
y = (3/4).z
y = 75% of C
B salary is 75% of C salary
i.e. B salary is 25% less than C salary.

Answer 5

c should show 30% more than b

Answer 6

A=1.2B=0.9C
so : 1.2B=0.9C
B=.75C
so B is 25% less than C

Answer 7

A = B + .2B
A = 1.2B

A = C - .1C
A = .9C


1.2B = .9C
B = .75C

B is 25% less the C

Answer 8

A = 1.2 B
A= .9 C
.9C = 1.2B
B = .75 C

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