Question

The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits. The American size of a suit jacket is 2.5P centimeters, where 2.5P is twice the linear distance between the armpits. If, for a particular jacket, N = P + 10, which of the following is closest to the value of N?

A. 36
B. 47
C. 58
D. 65
E. 72

Answer 1

B) 47

Explanation:

Given:

N = linear distance between the armpits in cm

2.5P = 2N

or

P = (2 ÷ 2.5)N

or

P = 0.8N ................(1)

also,

N = P + 10,

substituting the value of P from (1) we get

N = 0.8N + 10

or

N - 0.8N = 10

or

0.2N = 10

or

N = 10 ÷ 0.2

or

N = 50

Hence

the value is closest to option (B) 47