What is the Weight of cake?

Question

A cake is cut into 3 pieces in the ratio 2:3:4. Weight of the 3rd piece is 360gm more than 2nd piece. What is the weight of the cake? With calculations shown.

Answer 1

If you think about it, the cake is cut into nine 'units' - that's what ratio means in this context. The first piece has two units of cake, the second piece has three, the third piece has four.

So four units are 360g heavier than three units, which means that one unit of cake weighs 360g. Thus, as there are nine units making up the whole cake, it must weigh 9x360g, which is 3240g (or 3.24kg).