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  • Divide rs. 6600 into 2 parts so dat simple interest on the first part for 5yrs at 6% p.a is equal to the simple interest on the second part for 3 yrs at 12% p.a

Divide rs. 6600 into 2 parts so dat simple interest on the first part for 5yrs at 6% p.a is equal to the simple interest on the second part for 3 yrs at 12% p.a

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eginarrayl extLet the two parts be x extand 6000-x\ \ Simple interest=fracPRT100\ \ Rightarrow fracxleft(6 ight)left(2 ight)100=fracleft(6000-x ight)left(8 ight)left(3 ight)100\ \ Rightarrow x=12000-2x\ \ Rightarrow 3x=12000\ \ Rightarrow x=4000\ \ extHence two parts are Rs.4000; Rs 2000 endarray

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Deependra Verma

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