It is correct, but we need to find the % drop for each of them to be sure. Here, it just happened that the largest drop of 15 corresponded to the largest % drop.

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Market shares in four Metropolitan cities.

Period/ Products | Bombay 1993-94 | Calcutta 1993-94 | Delhi 1993-94 | madras 1993-94 |

HD | 20-15 | 35-30 | 20-15 | 20-30 |

CO | 20-25 | 30-15 | 15-10 | 20-15 |

BN | 45-40 | 25-35 | 35-35 |
10-10 |

MT | 15-20 | 10-20 | 10-10 | 50-45 |

The largest percentage drop in market shares is

- 60%
- 50%
- 53.3%
- 20%

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Best answer

Considering only Market drops:

The product $HD$ has experienced a market drop In ${\text{Bombay}}$ $ \{(15 - 20) = -5\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-5}{20}\times100 = \color{lightblue}{25\%}\} $, $\text{Calcutta}$ $ \{(30 - 35) = -5\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-5}{35}\times100 = \color{lightblue}{14.28\%}\} $ & $\text{Delhi}$ $ \{(15 - 20) = -5\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-5}{20}\times100 = \color{lightblue}{25\%}\}$.

The product $CO$ has experienced a market drop In $\text{Calcutta}$ $ \{(15 - 30) = -15\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-15}{30}\times100 =\color{lightblue}{ 50\%}\} $ & $\text{Delhi}$ $ \{(10 - 15) = -5\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-5}{15}\times100 = \color{lightblue}{33.33\%}\} $.

The product $BN$ has experienced a market drop In $\text{Bombay}$ $ \{(40 - 45) = -5\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-5}{45}\times100 = \color{lightblue}{11.11\%}\} $ .

The product $MT$ has experienced a market drop In $\text{Madras}$ $ \{(45 - 40) = -5\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-5}{40}\times100 = \color{lightblue}{12.5\%}\} $ .

So, $\color{green}{\text{the largest percentage drop in market shares was experienced by}}$ $\color{gold}{CO}$ $\color{green}{in}$ $\color{red}{\text{Calcutta}}$ $\color{green}{\text{which was}}$ $\color{blue}{\dfrac{15-30}{30} \times 100 = \dfrac{-1}{2}\times100 = 50\%}$

The product $HD$ has experienced a market drop In ${\text{Bombay}}$ $ \{(15 - 20) = -5\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-5}{20}\times100 = \color{lightblue}{25\%}\} $, $\text{Calcutta}$ $ \{(30 - 35) = -5\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-5}{35}\times100 = \color{lightblue}{14.28\%}\} $ & $\text{Delhi}$ $ \{(15 - 20) = -5\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-5}{20}\times100 = \color{lightblue}{25\%}\}$.

The product $CO$ has experienced a market drop In $\text{Calcutta}$ $ \{(15 - 30) = -15\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-15}{30}\times100 =\color{lightblue}{ 50\%}\} $ & $\text{Delhi}$ $ \{(10 - 15) = -5\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-5}{15}\times100 = \color{lightblue}{33.33\%}\} $.

The product $BN$ has experienced a market drop In $\text{Bombay}$ $ \{(40 - 45) = -5\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-5}{45}\times100 = \color{lightblue}{11.11\%}\} $ .

The product $MT$ has experienced a market drop In $\text{Madras}$ $ \{(45 - 40) = -5\hspace{0.2cm} i.e \hspace{0.2cm}\dfrac{-5}{40}\times100 = \color{lightblue}{12.5\%}\} $ .

So, $\color{green}{\text{the largest percentage drop in market shares was experienced by}}$ $\color{gold}{CO}$ $\color{green}{in}$ $\color{red}{\text{Calcutta}}$ $\color{green}{\text{which was}}$ $\color{blue}{\dfrac{15-30}{30} \times 100 = \dfrac{-1}{2}\times100 = 50\%}$

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