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Question

# 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?

A
140 grams
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B
280 grams
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C
240 grams
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D
300 grams
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Solution

## The correct option is C 240 gramsLet the weight of the cake is x grams.If he cuts it into two equal parts, then the weight of one part will be x2.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 x2×6 and it is given that the weight of small part is 20 grams.⇒20=x12⇒x=240Weight of cake is 240 grams.

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