A woman allocated 35 of her weekly income for rent and then used 14 of what was left for groceries, resulting in 60 left for other costs. What is the woman's weekly income?

A woman allocated 35 of her weekly income for… | GMAT Sprint

Free Practice Question

PS · Problem Solving

505-555

Fractions/Ratios/Decimals

A woman allocated $\frac{3}{5}$ of her weekly income for rent and then used $\frac{1}{4}$ of what was left for groceries, resulting in $60 left for other costs. What is the woman's weekly income?

Answer Choices

Correct answer marked below

$180

$200

Correct

$300

$360

$420

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Comments

ArunFeb 9, 2025

Love how you solved this

willeOct 7, 2024

thanks a lot

HarshaAug 10

thanks, this one was pretty quick once I set up the leftover fractions properly

SugamAug 22

same, the key is remembering the groceries come out of what's LEFT, not the original income

DharunSep 9

wait why isn't it just 3/5 + 1/4 added together? I keep getting an answer that's not even a choice lol

SamidhaAug 11

got 200, feels good to nail these medium ones

SaurabhAug 21

nice. i second-guessed myself between two of the choices for a sec

SaeedMay 11

the $60 left is after BOTH deductions right? just want to make sure im reading "other costs" correctly

What this question tests

What it tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Common trap

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.

A woman allocated 35\frac{3}{5}53​ of her weekly income for rent and then used 14\frac{1}{4}41​ of what was left for groceries, resulting in $60 left for other costs. What is the woman's weekly income?