App Logo

No.1 PSC Learning App

1M+ Downloads

The ratio of the number of boys in schools A and of B is 5 ∶ 7 and the ratio of the total number of students in A and B is 3 ∶ 4. If the number of girls in B is equal to 6623\frac{2}{3} % of the total students in B, then what is the ratio of the number of girls in A and B?

A43 ∶ 46

B8 ∶ 11

C43 ∶ 56

D33 ∶ 56

Answer:

A. 43 ∶ 46

Read Explanation:

Given:

The ratio of the number of boys in schools A and of B is 5 ∶ 7 and the ratio of the total number of students in A and B is 3 ∶ 4.

The number of girls in B is equal to 662323% of the total students in B.

Calculation:

 

Section A

Section B

Boys

5x

7x

Total

Students

3y

4y

Number of girls in B = Total students - Boys

Number of girls in B = (4y - 7x)

Similarly,

Number of girls in A = (3y - 5x)

According to the question,

(4y - 7x) = 4y×2003\times\frac{200}{3} %

⇒ (4y - 7x) = 4y×23\times\frac{2}{3}

⇒ 12y - 21x = 8y

⇒ 4y = 21x

⇒ y = 5.25x      -----(1)

Now, the ratio of the number of girls in A and B

⇒ (3y - 5x) : (4y - 7x)

⇒ (15.75x - 5x) : (21x - 7x)          [From equation (1)]

⇒ 10.75x : 14x

⇒ 43 : 56

∴  The ratio of the number of girls in A and B is 43 : 56.


Related Questions:

രാഹുലിന്റെയും ഭാര്യയുടെയും പ്രായത്തിന്റെ അനുപാതം 7 വർഷത്തിനുശേഷം 7 ∶ 6 ആയിരിക്കും. ഭാര്യ 23 വർഷം മുമ്പ് ജനിച്ചതാണെങ്കിൽ, 2 വർഷത്തിന് ശേഷം രാഹുലിന്റെ പ്രായം കണ്ടെത്തുക?
ഒരു ത്രികോണത്തിലെ കോണുകൾ 5:3:4 എന്ന അംശബന്ധത്തിലായാൽ ത്രികോണത്തിലെ ചെറിയ കോൺ എത്ര?
Sumit, Ravi, and Puneet invest Rs. 45000, Rs. 81000, and Rs. 90000 respectively to start a business. At the end of the year, the total profit earned is Rs. 4800. 30% of the total profit earned is given to charity and the rest is divided among them in the ratio of their profit. What will be the share of Sumit?
The total number of students in a class is 65. If the total number of girls in class 35, then the ratio of the total number of boys to the number of girls is :
3x + 8 : 2x +3 = 5 : 3 എങ്കിൽ x-ന്റെ വില എത്ര?