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GCSE maths percentage reduction question

Hi, I need help on how to answer this question, I have asked my teacher ut she would not explain it to me.

Question:
Vicky needs to insure her car. The premium is £920 per annum. Vicky gets a 15% reduction for agreeing to be the only driver. She then gets a further 12.5% reduction for agreeing to pay the first £500 of any damage to her car. What premium does she have to pay.

My attempt:
0.15x920=138 0.125x920=115
920-(138+115)=667
I only scored 1 mark out of 5.

Is the 12.5% reduction supposed to be taken out of 920 or (920-138)?
Original post by lili4648
Hi, I need help on how to answer this question, I have asked my teacher ut she would not explain it to me.

Question:
Vicky needs to insure her car. The premium is £920 per annum. Vicky gets a 15% reduction for agreeing to be the only driver. She then gets a further 12.5% reduction for agreeing to pay the first £500 of any damage to her car. What premium does she have to pay.

My attempt:
0.15x920=138 0.125x920=115
920-(138+115)=667
I only scored 1 mark out of 5.

Is the 12.5% reduction supposed to be taken out of 920 or (920-138)?


To me the question is a bit ambiguous - it could easily be interpreted as just taking away 15% and 12.5% of the original amount. But I think you're right - it says 'further' so you should take away 15% first, then take 12.5% from that amount.
Reply 2
Avatar for adilbae
adilbae
2
920-138=782 then 0.125x(920-138)=97.75 782-97.75=684.25
Because the way you did it makes it 27.5% discount but because it says further discounts it is a discount that comes afterwards the first discount :smile:

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