Betty left home with $60 in her wallet. She spent 1/3 of that amount at the supermarket, and she spent 1/2 of what remained at the drugstore. If Betty had no other expenditures, how much money did she have when she returned home?

(A) $10

(B) $15

(C) $20

(D) $40

(E) $50
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Solution

• Initial Amount with Betty \(= $60\)

• Amount spent at the supermarket \(= \frac{1}{3} *\) Initial Amount \(= \frac{1}{3}* 60 = $20\)


o Amount Left \(= $ (60-20) = $40\)

• Amount Spent at the drugstore \(= \frac{1}{2} *\) Amount Left \(= \frac{1}{2} * 40 = $20\)

• Since she did not do any other shopping. The amount she had when she returned home = Amount Left after spending in supermarket – Amount Spent at Drugstore \(= $ (40 – 20) = $20\).

Correct Answer : Option C.


Regards,
Saquib
Quant Expert
e-GMAT
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After spending 1/3 of her money at the supermarket, Betty has 2/3 x 60 = 40 dollars left. After spending half of the 40 remaining dollars, she has 20 dollars left.

Answer: C
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