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05 Dec 2022, 10:30
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A box initially contains 300 balls of which 40% are red and the rest are green. 50% more red balls are then added to the box. By what percent should the number of red balls be increased further to decrease the percent of green balls to 40%?
A. 20
B. 30
C. 40
D. 50
E. 100
A. 20
B. 30
C. 40
D. 50
E. 100
05 Dec 2022, 10:41
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A box initially contains 300 balls of which 40% are red and the rest are green. 50% more red balls are then added to the box. By what percent should the number of red balls be increased further to decrease the percent of green balls to 40%?
A. 20
B. 30
C. 40
D. 50
E. 100
Solution:-
Total balls =300
Red balls=120
Green balls=180
Now 60 more red balls are added to bag
Now red ball is =180
Let suppose x more red balls are added
Now 180+x is red ball which is 60%
=180+x=6/10(360+x)
=1800+10x=2160+6x
=360=4x
=x=90
so now the 90 balls are added to make it 60% of the total balls.
so 90/180 is 50% of more red balls are further need to added in order to make 40% of the total balls
A. 20
B. 30
C. 40
D. 50
E. 100
Solution:-
Total balls =300
Red balls=120
Green balls=180
Now 60 more red balls are added to bag
Now red ball is =180
Let suppose x more red balls are added
Now 180+x is red ball which is 60%
=180+x=6/10(360+x)
=1800+10x=2160+6x
=360=4x
=x=90
so now the 90 balls are added to make it 60% of the total balls.
so 90/180 is 50% of more red balls are further need to added in order to make 40% of the total balls
05 Dec 2024, 10:33
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