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Find the number of countries with a ratio of expense to gross profit g
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13 May 2025, 15:56
13 May 2025, 15:56
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$P, Q, R, S$, and $T$ are companies, with offices in India, the USA, and Germany.
The following figure gives the percentage distribution of sales of each company through their branches in different countries.
Find the number of countries with a ratio of expense to gross profit greater than 2 .
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
The following figure gives the percentage distribution of sales of each company through their branches in different countries.
Find the number of countries with a ratio of expense to gross profit greater than 2 .
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
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Re: Find the number of countries with a ratio of expense to gross profit g
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17 May 2025, 04:00
17 May 2025, 04:00
Expert Reply
The ratio of expenses to the gross profit of all the companies $P, Q, R$, and $S$ is greater than 2 , whereas for the company $T$, the ratio is equal to 2 .
$$
\(\begin{aligned}
& P \rightarrow \frac{1700}{2500-1700}=\frac{1700}{800}>2 \\
& Q \rightarrow \frac{2400}{3000-2400}=\frac{2400}{600}>2 \\
& R \rightarrow \frac{1100}{1500-1100}=\frac{1100}{400}>2 \\
& S \rightarrow \frac{2700}{3500-2700}=\frac{2700}{800}>2 \\
& T \rightarrow \frac{1600}{2400-1600}=\frac{1600}{800}=2
\end{aligned}\)
$$
i.e., the four companies had a gross profit greater than 2 .
Therefore, the correct answer is $D$.
$$
\(\begin{aligned}
& P \rightarrow \frac{1700}{2500-1700}=\frac{1700}{800}>2 \\
& Q \rightarrow \frac{2400}{3000-2400}=\frac{2400}{600}>2 \\
& R \rightarrow \frac{1100}{1500-1100}=\frac{1100}{400}>2 \\
& S \rightarrow \frac{2700}{3500-2700}=\frac{2700}{800}>2 \\
& T \rightarrow \frac{1600}{2400-1600}=\frac{1600}{800}=2
\end{aligned}\)
$$
i.e., the four companies had a gross profit greater than 2 .
Therefore, the correct answer is $D$.
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