Question

A is 30% more than B, and B is 20% less than C. D is 20% less than A. Which of the following is true?

1. D is 4% more than B

2. C is 16.8% more than D

3. C is 4% less than A

4. B is 4% less than D​

Answer 1

Step-by-step explanation:

Answered 3 years ago

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%.