Question

A is 33 1/3% less than B and B is 14 2/7% less then C. If C=105 then A=?

Answer 1

A is 30% more than B.

So, A = B + 30% of B = B + 30/100 *B = B + 3/10 *B = 13/10 *B

B is 60% less than C.

So, B = C - 60% of C = C - 60/100 *C = C - 3/5 *C = 2/5 *C

So, A = (13/10)*(2/5)*C = 13/25 *C.

So, we get C > A.

The difference: C - A = C - 13/25 *C = 12/25 *C

Hence, the percentage by which A is less than C = (C-A)/C *100 = 12/25 *100 = 48%.