Question

college b has 32% less student Q. if 1120 mode student join college P the two college will have the same number of students what is the sum of the number of student in college p and college Q initially?
1)6720
2)8400
3)5040
4)5800​

Answer 1

Step-by-step explanation:

college b has 32% less student Q. if 1120 mode student join college P the two college will have the same number of students what is the sum of the number of student in college p and college Q initially?

1)6720

2)8400

3)5040

4)5800

Answer 2

Answer:

The sum of number of students in college P and Q initially is equal to 5880.

Step-by-step explanation:

Given, the college P has 32% less students than that of college Q.

Given, 1120 students will join the college P, then both colleges can have same number of students.

Here, we need to calculate initially the number of students in college P and Q.

Assume that, x number of students are in the college Q.

The number of students in college P $=x-\frac{32x}{100} =\frac{100x-32x}{100}=\frac{17x}{25}$

When 1120 more students  join P college, then the number of students in P college will equal to Q college.

$\frac{17x}{25} + 1120 = x$

$\frac{[17x + 25(1120) ]}{ 25} = x\\\\17x + 28000 = 25x\\ 8x = 28000\\x = 3500$

The number of students in college Q = 3500

the number of students in college P $=\frac{17}{25}\times 3500 =2380$

So, the number of students in both colleges initially will be

= number of students in P + number of students in Q

$=3500 + 2380$

$=5880$

Therefore, the sum of number of students in college P and college Q initially is 5880.

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