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In Mathematics / High School | 2025-07-03

3. The hostel charges are Rs. 6300 for 35 students for 24 days. In how many days will the hostel charges be Rs. 3375 for 25 students?

4. Younas left property of Rs. 250000 for his 2 sons and one daughter. If each son gets 2 times the share of the daughter, then find the share of each.

Asked by dfghjghuji9932

Answer (1)

Let's solve each question step-by-step.

Hostel Charges Problem :
Given:

The hostel charges are Rs. 6300 for 35 students for 24 days.
We need to find out how many days the hostel charges will be Rs. 3375 for 25 students.

First, calculate the charge per student per day for the initial condition:
Charge per student per day = 35 × 24 6300 ​ = 840 6300 ​ = 7.5
Now, find the number of days the same rate would charge Rs. 3375 for 25 students:
Let x be the number of days.
The equation becomes:
25 × 7.5 × x = 3375
Solving for x :
187.5 x = 3375 x = 187.5 3375 ​ = 18
So, the hostel charges will be Rs. 3375 for 25 students in 18 days .

Property Distribution Problem :
Given:

Total property = Rs. 250,000
Two sons, each getting twice as much as the daughter.

Let's denote the daughter's share as D . Then each son's share will be 2 D .
The equation becomes:
2 D + 2 D + D = 250 , 000
Simplifying:
5 D = 250 , 000 D = 5 250 , 000 ​ = 50 , 000
So, the daughter's share is Rs. 50,000.
Each son's share is:
2 D = 2 × 50 , 000 = 100 , 000
Therefore,

Daughter's share: Rs. 50,000
Each son's share: Rs. 100,000

Answered by LiamAlexanderSmith | 2025-07-07