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Bunuel

Tough and Tricky questions: Word Problems.



A lady sold two small investment properties, A and B, for $24,000 each. If she sold property A for 20 percent more than she paid for it, and sold property B for 20 percent less than she paid for it, then, in terms of the net financial effect of these two investments (excluding taxes and expenses), we can conclude that the lady

A) broke even
B) had an overall gain of $1,200
C) had an overall loss of $1,200
D) had an overall gain of $2,000
E) had an overall loss of $2,000

Kudos for a correct solution.

Source: Chili Hot GMAT


When two items are sold at the same selling price, one at a profit of x% and other at a loss of x%, we get an overall loss of (x^2/100)%
This is explained here in detail: https://anaprep.com/arithmetic-profit-o ... e-formula/

So with a 20% profit and 20% loss, and same selling price of $24000, we will get a loss of (20^2/100) % = 4%

Her overall selling price = 2 * 24000 and overall loss % is 4%.

Cost Price - 4% of Cost Price = 48,000
Cost Price = 50,000

Overall Loss = Cost price - Selling price = 50,000 - 48,000 = 2000
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Bunuel
A lady sold two small investment properties, A and B, for $24,000 each. If she sold property A for 20 percent more than she paid for it, and sold property B for 20 percent less than she paid for it, then, in terms of the net financial effect of these two investments (excluding taxes and expenses), we can conclude that the lady

A) broke even
B) had an overall gain of $1,200
C) had an overall loss of $1,200
D) had an overall gain of $2,000
E) had an overall loss of $2,000

Source: Chili Hot GMAT
CP of Property 1 is \(\frac{24000}{120}*100 = 20000\)
CP of Property 2 is \(\frac{24000}{80}*100 = 30000\)

Total CP = 50000 ; Total SP = 48000

Thus the lady had a loss of 2000, Answer must be (E)
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