Question

50% of cakes were party cakes 1/5 were fruit cakes and remainder were sponge cakes what % were sponge cakes"

Answer 1

the total percentage is 100 %

there are party cakes, fruit cakes and sponge cakes

50 % of the cakes are party cakes

1/5th of the cakes are fruit cakes.

so 1/5th of 100 % is - $\frac{1}{5}* 100 % = \frac{100}{5} = 20$ = 20%

therefore 20 % of the cakes are fruit cakes

remainder of the cakes were sponge cakes

the sum of the party and fruit cakes are - 50 % + 20 % = 70 %

remainder is 100 % - 70 % = 30 %

therefore 30 % of the cakes were sponge cakes

Answer 2

Firtly we need to know how many percents is 1/5:

1/5 * 100% = 1 * 20% = 20%

So we have 50% of party cakes and 20% of fruit cakes. Now we can easily count that sponge cakes are 30%:

100% - 50% - 20% = 30%