What is the percentage rise in the production of sports shoes by company C…

2024

What is the percentage rise in the production of sports shoes by company C from the year 2022 to 2023 ?

Answer: C. 15.625 %ConceptPercentage rise compares an increase against the value the quantity started from. For a move from an earlier value to a later value, percentage rise =…

  1. A.

    15.375 %

  2. B.

    20.625 %

  3. C.

    15.625 %

  4. D.

    10.625 %

Show answer & explanation

Correct answer: C

Concept

Percentage rise compares an increase against the value the quantity started from. For a move from an earlier value to a later value, percentage rise = (later value − earlier value) ÷ earlier value × 100. The base of that division is always the earlier value — never the later value, and never the sum of the two.

In a table of this kind, production is reported by the "Number (in lakh)" column alone. The "Rejected (%)" and "Sold (%)" columns describe what happened to the shoes after they were produced, so they take no part in a question about production.

Application

  1. Read company C's production for 2022 from the "Number (in lakh)" column: 32 lakh.

  2. Read company C's production for 2023 from the same column: 37 lakh.

  3. Find the increase: 37 − 32 = 5 lakh.

  4. Divide the increase by the earlier year's value, which is the base: 5 ÷ 32 = 0.15625.

  5. Convert the decimal to a percentage: 0.15625 × 100 = 15.625%.

Cross-check

Apply the result back to the base: 32 × 1.15625 = 37 lakh, which is exactly company C's 2023 entry — so the base and the increase were paired correctly.

Two traps are worth naming. Dividing by the later value gives 5 ÷ 37 ≈ 13.51%, which answers a different question — the percentage fall from 2023 back to 2022. And switching to the sales columns changes the quantity being compared: shoes sold in 2022 are 72% of 32 = 23.04 lakh against 30.34 lakh in 2023 (82% of 37), a rise of about 31.7% — a real figure, but not the one asked for.

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