Marta received a one time cash bonus from her employer. She paid part

Question

Marta received a one time cash bonus from her employer. She paid part of the bonus in taxes, spent 28,000 euros, and saved the rest. What was the total amount of Marta’s bonus?

(1) Marta saved 24 percent of the bonus.

(2) Marta paid 1/5 of the bonus in taxes and after paying the taxes, she saved 3/10 of the money that remained.

Bunuel · Accepted Answer

GMAT Club Official Solution:

Marta received a one time cash bonus from her employer. She paid part of the bonus in taxes, spent 28,000 euros, and saved the rest. What was the total amount of Marta’s bonus?

(1) Marta saved 24 percent of the bonus.

If Marta saved 24 percent of the bonus, then the remaining 76 percent covers both taxes and the 28,000 euros she spent. Since we are not told how that 76 percent is split between taxes and spending, the total bonus is not determined. Not sufficient.

(2) Marta paid 1/5 of the bonus in taxes and after paying the taxes, she saved 3/10 of the money that remained.

Let the bonus be T.
Taxes = (1/5)T, so the amount remaining after taxes is (4/5)T.
She then saved (3/10) * (4/5)T = (6/25)T.
So the amount she spent is T - (1/5)T - (6/25)T = (14/25)T.
Given that she spent 28,000 euros, we have (14/25)T = 28,000, so T = 28,000 * 25/14 = 50,000. Sufficient.

Answer: B.

Adit_ · Answer

Statement 1:
Clearly Insufficient.

Statement 2:
She saved 3/10 of remaining meaning she spent 28000 which is 4/5*7/10x is the amount she spent.
This is because 4/5 is the total remaining after taxes and she saved 3/10 of remaining or spent 7/10 off of remaining.
Value of x leads to total amount.
SUFFICIENT.

Answer:  Option B

Amalgum23 · Answer

Statement 1 has incomplete information hence not enough 
Statement 2 specifies that 28000 = (1-1/5 - (4/5*3/10))*x hence it gives me the total amount

pappal · Answer

given B=28k+t+s (where B=bonus, t-tax ,s-savings) B=?
1. B=28k+t+0.24B insufficient to find B
2. this gives t and s in terms of B, as B=28k+B/5+3/10*(B-B/5),so the equation comes to one variable hence can be solved for B.
sufficient.
so B

FluidChess · Answer

Statement (1):
Does not give enough information to find the total amount.

❌ Insufficient

Statement (2):
After taxes, she keeps 80% of her total income.
From this remaining amount, she saves 30%, so she spends 70%.

So overall, the amount she spends = 80% × 70% = 56% of her total income.

We are told she spent 28,000, which is 56% of her total income.
This lets us find the total income uniquely.

✅ Sufficient

Final Answer:

Option B (Statement 2 alone is sufficient)

Marta received a one time cash bonus from her employer. She paid part

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GMAT Data Sufficiency (DS) Questions

Marta received a one time cash bonus from her employer. She paid part

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