Question

If A's income is 50% less than of B then B's income is what percent more than that of A?

Answer 1

Given,

a=b-50.%ofb-(i)

Sol,

B=a+x%of a

Now,putting value of a from eqn i

B=B-50B/100+X%(B-50B/100)

B =(100B-50B)/100 +Bx/100-

50Bx/10000

B =50B/100+(100Bx-50Bx)/1000

B =50B/100+50Bx/10000

B=B(1/2 +x/200)

B/B=1/2+x/200

x/200=B/B-1/2

x/200=1-1/2

X/200=1/2

X=200/2

So,x=100

By,x% ,B is greater to A.

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Answer 2

Answer:

Now,putting value of a from eqn i

B=B-50B/100+X%(B-50B/100)

B =(100B-50B)/100 +Bx/100-

50Bx/10000

B =50B/100+(100Bx-50Bx)/1000

B =50B/100+50Bx/10000

B=B(1/2 +x/200)

B/B=1/2+x/200

x/200=B/B-1/2

x/200=1-1/2

X/200=1/2

X=200/2

So,x=100

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