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A Ltd owns 70% of B Ltd and B Ltd owns 60% of C Ltd. A Ltd also directly owns 15% of C Ltd. What is the percentage of shares in C Ltd that is owned by A Ltd?a.15%b.75%c.57%d.60%

Question

A Ltd owns 70% of B Ltd and B Ltd owns 60% of C Ltd. A Ltd also directly owns 15% of C Ltd. What is the percentage of shares in C Ltd that is owned by A Ltd?a.15%b.75%c.57%d.60%

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Solution

The percentage of shares in C Ltd that is owned by A Ltd can be calculated as follows:

First, calculate the indirect ownership of A Ltd in C Ltd through B Ltd. A Ltd owns 70% of B Ltd, and B Ltd owns 60% of C Ltd. Therefore, A Ltd indirectly owns 70% * 60% = 42% of C Ltd.

Next, add the direct ownership of A Ltd in C Ltd. A Ltd directly owns 15% of C Ltd.

Therefore, the total percentage of shares in C Ltd that is owned by A Ltd is 42% + 15% = 57%.

So, the correct answer is c.57%.

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