Question

Before noon on Tuesday, there was a certain number of hex nuts in a bin. After a delivery at noon that day, the number of hex nuts in the bin increased by 30%. Which of the following could be the number of hex nuts in the bin after that delivery?a. 5100

b. 5200
c. 5400
d. 5500
e. 5600

Answer 1

(B)5200

Explanation:

Since the value was increased by 30%, the new value in the options is 130% of the initial Value.

Let x be the number of hex nuts in the bin before that delivery.

130% of x = New Value

`(130)/(100) \: of\: x =New \: Value`

1.3 of x = New Value

x= New Value ÷ 1.3

Since the number of hex nuts in the bin is a whole number, we test the options to see which satisfies this condition.

• 5100 ÷ 1.3 =3923.08
• 5200 ÷ 1.3=4000
• 5400÷ 1.3=4153.85
• 5500÷ 1.3=4230.77
• 5600÷ 1.3=4307.69

5200 is the only option which satisfies our stated condition.