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Data Sufficiency (DS) | Re: Samantha invests i1 dollars in bond X, which pays r1

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nandini11 wrote:

Samantha invests i1 dollars in bond X, which pays r1 percent simple interest annually, and she invests i2 dollars in bond Y, which pays r2 percent simple interest annually. After one year, will she have earned more interest, in dollars, from bond X than from bond Y ?

(1)\((r1)^2 > (r2)^2\)
(2) The ratio of i1 to i2 is larger than the ratio of r1 to r2 .


[Reveal] Spoiler:
Why cant 1 be sufficient .
We know that interest cannot be negative , therefore (1) eventually leads to r1> r2 .
The values of i1 and I2 don’t matter , because even when i2 is greater than i1 , the interest would be less .Eg. i1 : 100 r1: 5% , i2: 150 , r2: 3% , i1r1 > i2r2 giving the required result .


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