In a class, each of the students received a single grade of A, B, or C

Question

In a class, each of the students received a single grade of A, B, or C.What percent of the students in the class were internationals?

(1) Of those who received a B, 40 percent were international.
(1) Of those who received either an A or C, 60 percent were domestic.

chetan2u · Answer

So, the students are divided into two categories - D and I
Let A, B and C be the numbers of the students who received a single grade of A, B, and C respectively.

We are finding  \frac{I}{A+B+C}

(1) Of those who received a B, 40 percent were international.
So 0.4B are I.

(2) Of those who received either an A or C, 60 percent were domestic.
so 0.6(A+C) are domestic, and, therefore, remaining or (1-0.6)(A+C) or 0.4(A+C) are I.

Combined
Total I = 0.4B+0.4(A+C)=0.4(A+B+C)
Total students = A+B+C

% of I =  \frac{0.4(A+B+C)}{A+B+C}*100=40 
Suff

C

Pranjal3107 · Answer

Hi, Can you explain this statement ?
so 0.6(A+C) are domestic, and, therefore, remaining or (1-0.6)(A+C) or 0.4(A+B+C) are I.

Hoozan · Answer

In a class, each student received grade A, B, or C. What percentage of students in the class were females?

(1) Of those who received grade B, 40% were females
(2) Of those who received grade A or C, 60% were males

Similar Question: https://gmatclub.com/forum/in-a-class-e ... l#p2512170

Hoozan · Answer

Similar Question: https://gmatclub.com/forum/in-a-class-e ... 49428.html

chetan2u · Answer

The questions are not only similar but exactly the same. Just changing 'international-domestic' to 'females-male's does not change anything as far as quant is concerned.

Question is being merged.

hk111 · Answer

taking the statements directly

(1) Of those who received a B, 40 percent were international.

so International students who got B grade = 40% but no data for grade A and C students.
 
 -Insufficient

(2) Of those who received either an A or C, 60 percent were domestic.

International students who got wither A or C = 40% (100%-60%) as domestic are 60%, but no data about grade B

- Insufficient

(1)+(2) = tells us about the international students for grade A,B,C as 40%, so  Sufficient

poorvi125 · Answer

chetan2u  please correct the highlighted part.

bumpbot · Answer

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In a class, each of the students received a single grade of A, B, or C

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