What’s the Error? An analysis showed that 0.06 per cent of the T-shirts made by one company were defective. A student says this is 6 out of every 100. What is the student’s error

Solution:

An analysis showed that 0.06 percent of the T-shirts made by one company were defective.

A student says this is 6 out of every 100.

We have to find the student’s error.

According to the question,

Percent of defective T-shirts = 0.06%

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole.

Fraction = Percentage/100

So, 0.06% = 0.06/100

= 0.06/100 × 100/100

= (0.06 × 100)/(100 × 100)

= 6/10000

Therefore, it is clear that 6 out of every 10000 were defective.

✦ Try This: A student used the proportion n/100 = 5/32 to find 5% of 32. What did the student do wrong?

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8

NCERT Exemplar Class 7 Maths Chapter 7 Problem 119

What’s the Error? An analysis showed that 0.06 per cent of the T-shirts made by one company were defective. A student says this is 6 out of every 100. What is the student’s error

Summary:

An analysis showed that 0.06 per cent of the T-shirts made by one company were defective. A student says this is 6 out of every 100. The error made by the student is that defective T-shirts are 6 out of every 10000 not 100.

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