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

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 - = 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

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