If the year 2024 were to show the same percent revenue growth over the year…
2024
If the year 2024 were to show the same percent revenue growth over the year 2023 as the year 2023 showed over the year 2022, then the revenue in the year 2024 will be approximately
Answer: D. ₹177.095 lakh — Concept When a quantity grows by the same percentage in two consecutive periods, its multiplying factor stays constant. If a value rises from A to B, that…
- A.
₹194.063 lakh
- B.
₹187.075 lakh
- C.
₹172.083 lakh
- D.
₹177.095 lakh
Show answer & explanation
Correct answer: D
Concept
When a quantity grows by the same percentage in two consecutive periods, its multiplying factor stays constant. If a value rises from A to B, that factor is r = B/A and the percentage growth is (B - A)/A × 100. Applying the same percentage growth once more to B therefore gives B × r = B2/A.
Application
Total revenue in 2022 = journals 40 + magazines 42 + books 87 = ₹169 lakh.
Total revenue in 2023 = journals 40 + magazines 54 + books 79 = ₹173 lakh.
Growth factor from 2022 to 2023: r = 173/169, so the percentage growth is (173 - 169)/169 × 100 = 400/169 ≈ 2.3669%.
Applying the same factor to the 2023 total: revenue in 2024 = 173 × (173/169) = 1732/169 = 29929/169.
Dividing, 29929/169 ≈ 177.0947, so the revenue in 2024 is approximately ₹177.095 lakh.
Cross-check by computing the rise directly: 2.3669% of 173 ≈ 4.0947, and 173 + 4.0947 ≈ 177.0947 - the same figure. Because the growth rate is small and positive, the 2024 total must sit just above the 2023 total of ₹173 lakh.
A common slip is to repeat the absolute rise of ₹4 lakh instead of the percentage. Equal percentage growth acts on the larger 2023 base, so the rise in 2024 is slightly bigger, about ₹4.09 lakh.