If r is greater than 120 percent of s, is r 70? (1) 60

Question

If r is greater than 120 percent of s, is r > 70?

(1) 60 < s < 80
(2) r - s = 40

D3N0 · Answer

And: D 
Both statement alone sufficient to ans the question..

given r > 120% of s

from 1: minimum value of s is 60 so r must be greater than 120 % of 60 which is = 72 (Sufficient)
from 2: given r-s= 40 means 1.20s-s=40 so .2s=40: so s=200 thus r>70 (sufficient)

Both alone sufficient to ans.

chetna14 · Answer

Given that r > \frac{120}{100} s ; r > 70 ? Statement 1 60 < s < 80 For min value of s = 60, \frac{120}{100}* 60 => r > 72 Sufficient Statement 2 r - s = 40 => s = r- 40 => r > \frac{120}{100}* (r-40) => r > \frac{6}{5} r - 48 => r < 48 * 5 But we don't know if r > 70, hence Insufficient IMO A

RohitGoyal1123 · Answer

St1 : 60 < s < 80

Since r>1.2s, considering the lowest value of s,
r>1.2*60 or r >72
is r>70 with 60 < s < 80 => Yes
Sufficient

St2 : r - s = 40

Now r>1.2s
or r-s>0.2s
or 40>.2s
or s<200

Since there is no lower limit, and s can be zero also, r can take values on both side of 70

Hence insufficient

Correct Option A

push12345 · Answer

Given r>6s/5

I) for s=60
r>6*60/5
r>72 
So for other values r is surely greater than 70
Sufficient

II) r-s=40

R can be 30 s can be -10
Or
R can be 80 and s be 40
Many possibilities
So insufficient

A is answer

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If r is greater than 120 percent of s, is r > 70? (1) 60 < s < 80 (2)

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