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Consider the following statements:

1. If 48% of a number is 120, then 170% of the number will be 350.
2. The number 3.5 can be expressed in terms of percentage as 350%,
3. 1100 boys and 700 girls appeared in a test, 42% of the boys and 30% of the girls passed. The percentage of total who failed is \(62\frac{2}{3}\)%

How many of the statements given above are correct?

  • A.Only one
  • B.Only two
  • C.All three
  • D.None

Answer: B

Only two statements are correct.

Statement 1: 48% of N is 120, so N = 250, and 170% of 250 is 425, not 350. False.

Statement 2: 3.5 × 100% = 350%. True.

Statement 3: passes are \(0.42 \times 1100 = 462\) boys and \(0.30 \times 700 = 210\) girls, 672 in all out of 1800, so 1128 failed.

\[ \frac{1128}{1800} \times 100 = 62\tfrac{2}{3}\% \]

True. So statements 2 and 3 are correct and statement 1 is not.

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