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igcse edexcel maths percentage change question

Himari invests 200 000 yen for 3 years in a savings account paying compound interest.

The rate of interest is 1.8% for the first year and x% for each of the second year and the third year.

The value of the investment at the end of the third year is 209 754 yen.

Work out the value of x.
Give your answer correct to one decimal place.



I've already worked out the amount of money after the first year, which I think is 203 600. I then did 209 754 - 203 600 which is 6154. I don't know what to do next.
Reply 1
I did 6154 / 203600 = 0.0302...
But the answer is 0.015 and it's half of 0.0302. Is it because it's for two years? I thought you'd have to square root it?
Reply 2
Original post by Sasuto
I did 6154 / 203600 = 0.0302...
But the answer is 0.015 and it's half of 0.0302. Is it because it's for two years? I thought you'd have to square root it?


I did 209754 / 203600 which gave me 1.0302
Then 1.0302 - 1 which is 0.0302
Then I divided it by 2 which gave me 0.015
Reply 4
Original post by n4yr_4
I did 209754 / 203600 which gave me 1.0302
Then 1.0302 - 1 which is 0.0302
Then I divided it by 2 which gave me 0.015


Ohh ok so I divide it by 2 because it's two years. Thank you so much!
Reply 5
Original post by speed_bird
Screenshot 2022-05-19 164311.png


Oh I see... I'll use take note of this method for my exam. Thank you so much!
Original post by Sasuto
Oh I see... I'll use take note of this method for my exam. Thank you so much!


Incredible! Glad it helped. :smile:

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