Abhinav purchased a certain number of apples on
15th August, 2018. He donated these apples to
three orphanages - P, Q and R on that day. In P.
he gave two apples more than one-third of the
apples that he purchased. In Q, he gave three more
than one-fourth of the remaining apples. In R, he
gave four more than one-fifth of the apples left with
him after donating to Q. Finally he is left with
32 apples. Find the number of apples that Abhinav
purchased
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Answer:
let Abhinav brought x apples .
HE GAVE APPLES TO P :-(1/3×x)+2=6+x/3
Remaining Apples =x-(6+x/3)=2x-6/3
Q:
Out of remaining Apples he Gave 3 more apple than 1/4th of the remaining apples to Q.
i.e.
1/4×(2x-6/3)+3 =x+15/6
Remaining Apples =(2x-6/3)-(x+15/6) =x-9/2
R:
He gave 4 more than 1/5 th of the apples left with him after donating Q.
i.e.
1/5×(x-9/2)+4=x+31/10
Finally he is left with 32 apples.
HENCE THE NUMBER OF APPLES THAT ABHINAV PURCHASED :-
=> x-(6+x/3)-(x+15/6)-(x+31/10)=32
=>(30x-60-10x-5x-75-3x-93)/30=32
=>12x-228=32×30
=> 12x =960+228
=> x=1188/12 =99
SO ABHINAV PURCHASED 99 APPLES.
PROVED.....
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