Last year, in Crossia, 25% of all babies were delivered in a private

Question

Last year, in Crossia, 25% of all babies were delivered in a private hospital, while 40% of all cesarean births occurred in a private hospital. Last year, in Crossia, what percentage of all births that took place in a private hospital were cesarean births?

(1) Last year, in Crossia, a total of 72,000 babies were delivered in a private hospital. 
(2) Last year, in Crossia, 20% of all births were caesareans.

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Dereno · Answer

Last year, Crossia 25% of all babies were delivered in a private hospital.

40% of ALL cesarean births occured in private hospital.

We need to find  : % of Cesarean births in Private hospitals

= number of cesarean births in private hospitals / Total number of Births in private hospitals

Total number of Births in private hospital = 25%* Total.

Ceaseran Births in private hospital = 40% * All caesarean births.

% of Cesarean births in Private hospitals = (40% * All caesarean births. )/(25%* Total).

Statement 1:

Last year, in Crossia, a total of 72,000 babies were delivered in a private hospital.

Total Babies delivered in Private hospitals = 72,000.

72000 = 25%* Total babies delievered in Crossia.

But, we need the number of Caesarean births in private hospitals.

Hence,  Insufficient. 
 
Statement 2:

Last year, in Crossia, 20% of all births were caesareans.

20% of all births were caesareans, which means 20% of Total births = Caesarean.

we know that:

% of Cesarean births in Private hospitals = (40% * All caesarean births. )/(25%* Total).

= (40% * 20% of Total birth) / (25% of Total Birth)

= 8/25

= 32%

Hence,  Sufficient .

Option B

ExpertsGlobal5 · Answer

Explanation:  
   
Let the total number of babies delivered be A.
Let the total number of babies delivered in a private hospital be P.
Let the total number of cesarean births be C.
Let the number of cesarean births in private hospitals be B.
Since 25% of all babies were delivered in a private hospital: P = 0.25A (Equation I)
Since 40% of all cesarean births occurred in a private hospital: B = 0.4C (Equation II)
We have to find the percentage of all births that took place in a private hospital were cesarean births, which can be expressed as: 
What percentage of P is B?
  We need to find whether the value of 100 x (B/P) can be determined.  
 
 Statement (1) 
 
A = 72,000
 
Using the value of A, from Equation I we can determine the value of P, however,   no information is provided regarding the value of B  . 
 
It is NOT possible to determine with certainty the value of 100 x (B/P).   Hence, Statement (1) is insufficient.  
 
 Statement (2) 
 
0.2A = C 
From Equation II, we get: B = 0.4C = 0.4(0.2)A (Equation III)
 
Dividing Equation III by Equation I, we get: B/P = 0.4(0.2)A/0.25A = (0.4)(0.2)/0.25
 
It is possible to determine with certainty the value of 100 x (B/P).   Hence, Statement (2) is sufficient.  
 
  B is the correct answer choice.

Last year, in Crossia, 25% of all babies were delivered in a private

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GMAT Data Sufficiency (DS) Questions

Last year, in Crossia, 25% of all babies were delivered in a private

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

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From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

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