Two discounts

The MP4 player cost 960 CZK, the price was twice gradually reduced in the ratio 4: 3: 3/2. How much did the player cost after the second discount?

Correct result:

a3 =  360 Kc

Solution:

a=960 kc k1=4/(4+3+3/2)=8170.4706 a=k1 t  t=a/k1=960/0.4706=2040  k=t/(4+3+3/2)=2040/(4+3+3/2)=240  a2=3 k=3 240=720 kc a3=(3/2) k=(3/2) 240=360 Kca=960 \ \text{kc} \ \\ k_{1}=4 / (4+3+3/2)=\dfrac{ 8 }{ 17 } \doteq 0.4706 \ \\ a=k_{1} \cdot \ t \ \\ \ \\ t=a/k_{1}=960/0.4706=2040 \ \\ \ \\ k=t/(4+3+3/2)=2040/(4+3+3/2)=240 \ \\ \ \\ a_{2}=3 \cdot \ k=3 \cdot \ 240=720 \ \text{kc} \ \\ a_{3}=(3/2) \cdot \ k=(3/2) \cdot \ 240=360 \ \text{Kc}



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