Jack made a withdrawal from his savings account to fund a medical

Question

Jack made a withdrawal from his savings account to fund a medical emergency. What was the percent decrease in his savings fund, if his savings fund post withdrawal will need to be increased by 25 percent to be restored to its initial amount?

A 10%

B 20%

C 25%

D 40%

E 50%

A 10%

B 20%

C 25%

D 40%

E 50%

chetan2u · Answer

Let the amount after withdrawal be a, before withdrawal it was 125% of a or 1.25a
The decrease is 1.25a-a or 0.25a from 1.25a.
Therefore decrease % =100* 0.25a/1.25a=100/5=20%

B

Archit3110 · Answer

let amount be 100
so 
25% increase = 125
and amount which was withdrawn was 100-x
so
1.25*(100-x)= 100
x=20
% = 20/100 = 20%
IMO B

rheam25 · Answer

Could you please explain how you did this?

Archit3110 · Answer

rheam25 
I solved it word by word which was given
lets assume that the initial amount was 100$
and Jack withdrew x $
now question says What was the percent decrease in his savings fund, if his savings fund post withdrawal will need to be increased by 25 percent to be restored to its initial amount
25% increase of $( 100-x) or say 1.25*(100-x) which would be same as intial amount i.e $100
solve for x = 20$ i.e the amount being withdrawn
% decrease ; 20/100 ; 20%
option B

Lowpoint · Answer

We can also use estimation to solve this very quickly based on the principle that if a quantity decreases by x percent, it has to increase by a greater percent greater than x to reach the initial quantity.

Hence we can eliminated C,D, and E.

So A and B are contenders.

If something decreases 10%, you certainly wouldn't need increase it by 25% to get it back to the initial quantity. So we can eliminate A.

Hence, answer is B.

bumpbot · Answer

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Jack made a withdrawal from his savings account to fund a medical

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Jack made a withdrawal from his savings account to fund a medical

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