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15 Jan 2025, 01:30
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
84% (01:43) correct
16%
(01:58)
wrong
based on 88
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The average American spends y dollars on food per month, except during January, when food purchases are x percent lower than they are in other months. Which of the following represents food purchases, in dollars, for the first 9 months of a year?
A. 9y – xy/100
B. 9y + xy
C. 9y – xy
D. (9y - xy)/9
E. y - xy/6
A. 9y – xy/100
B. 9y + xy
C. 9y – xy
D. (9y - xy)/9
E. y - xy/6
15 Jan 2025, 02:42
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In January, food prices reduced by \(x\%\) = \(y \times x \%\) reduction. Therefore, \(Price_{Jan} = y - \dfrac{xy}{100}\)
Rest of 8 months price \( = 8y\)
Total price \(= 8y + y - \dfrac{xy}{100} = 9y - \dfrac{xy}{100}\)
ANS A
Rest of 8 months price \( = 8y\)
Total price \(= 8y + y - \dfrac{xy}{100} = 9y - \dfrac{xy}{100}\)
ANS A
15 Jan 2025, 09:12
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IMO Ans A
Average spend per month = y $
Spend in January= y*(1-x/100) (as total cost is quantity*price and only quantity decreases by x% Therefore y decreases by x%)
Total spend in 9 months = 8*y + y(1-x/100)
= 8*y +y -(x*y/100)
= 9y-x*y/100
Average spend per month = y $
Spend in January= y*(1-x/100) (as total cost is quantity*price and only quantity decreases by x% Therefore y decreases by x%)
Total spend in 9 months = 8*y + y(1-x/100)
= 8*y +y -(x*y/100)
= 9y-x*y/100
