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Bunuel


What I'm saying is that IF the interest were not compounded in every six months (so if interest were not earned on interest) then we would have (2+3+4)=9% simple interest earned on $10,000 in 18 months, which is $900.
Simple interest of 9% on $10,000 for 18 months is \(SI = P*R*T = 10000*0.09*1.5 = 1350\).
Even i failed to understand how could the rate interest on the entire principal be 9 by simply \((2+3+4)\)
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Bunuel help understand if my approach is correct.

Can I use successive change formula ?
X% (change) + Y% (change) = X+ Y + [XY/100]

so in this case x=2, y=3, z=4
2+3+4+ 24/100
->9.24 is the % increased.

there for 9.24% of 10,000 is 924.
in the options the closest value to 924 is 926.24.
so we can go ahead with this option.

Ans 926.24


Bunuel


If interest were not compounded in every six months (so if interest were not earned on interest) then we would have (2+3+4)=9% simple interest earned on $10,000, which is $900. So, you can rule out A, B and C right away.

Interest earned after the first time interval: $10,000*2%=$200;
Interest earned after the second time interval: ($10,000+$200)*3%=$300+$6=$306;
Interest earned after the third time interval: ($10,000+$200+$306)*4%=$400+$8+(~$12)=~$420;

Total: 200+306+(~420)=~$926.

Answer: E.
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