Skip to content

CA Foundation · Quantitative Aptitude · Statistical Description of Data

A company's sales are ₹40 lakh in 2022 and ₹60 lakh in 2023. A pie chart is drawn for each year, with the area of each circle proportional to total sales. If the 2022 circle has radius 4 cm, what is the radius of the 2023 circle?

The radius is 4√1.5 cm, about 4.9 cm. Since the area of each circle is proportional to sales and area depends on the square of the radius, the radius ratio is the square root of 60/40, which is √1.5. Making the radius proportional would wrongly give 6 cm.

  1. A4√1.5 cmCorrect
  2. B6 cm
  3. C4 × 1.5² cm
  4. D4 × 0.5 cm

Explanation

The area of a circle is proportional to r², so r₂²/r₁² = 60/40 = 1.5. Hence r₂ = 4√1.5 cm, about 4.9 cm. Taking radius directly proportional to sales would give 6 cm, which is wrong because area, not radius, represents the value.

Did you get it right without looking?

One question tells you little. A timed set on Statistical Description of Data shows your real accuracy, how long you take and where you lose marks.

Practise Statistical Description of DataFree diagnostic mock

More Statistical Description of Data questions