Arpan cut a cake in two equal parts and one of these two pieces is again cut into equal parts. Each small part is of $20$ grams. If there are seven parts of the whole cake, what was the weight of the original cake?

140

grams

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280

grams

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240

grams

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300

grams

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Solution

The correct option is C $240$ grams
Let the weight of the cake is $x$ grams.
If he cuts it into two equal parts, then the weight of one part will be $\frac{x}{2}$ .
Again he cuts one part into equal parts.
Since total seven parts are there, so he has cut one piece into $6$ equal parts.
The weight of the small part is $\frac{x}{2 \times 6}$ and it is given that the weight of small part is $20$ grams.
$\Rightarrow 20 = \frac{x}{12}$
$\Rightarrow x = 240$
Weight of cake is $240$ grams.

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Arpan cut a cake in two equal parts and one of these two pieces is again cut into equal parts. Each small part is of 20 grams. If there are seven parts of the whole cake, what was the weight of the original cake?

Arpan cut a cake in two equal parts and one of these two pieces is again cut into equal parts. Each small part is of $20$ grams. If there are seven parts of the whole cake, what was the weight of the original cake?