Savita from her 100 rupees kept 9 Rupees for her self. From the remaining money, if she distributed it equally among 7 boys, how much money would everyone got?
a) 7 b) 13 c) 19 d) 14.
Share
Savita from her 100 rupees kept 9 Rupees for her self. From the remaining money, if she distributed it equally among 7 boys, how much money would everyone got?
a) 7 b) 13 c) 19 d) 14.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Step-by-step explanation:
total amount of money to be distributed?
Medium
Solution
verified
Verified by Toppr
Let the total number of children =x
Let the money given to each student =Rs.y
So, the total money =x×y
If there are 8 children less, everyone will get Rs. 10 more.
So, everyone will get Rs. 10+y
Total amount of money =(x−8)×(y+10)
⇒(x−8)(y+10)=xy
xy+10x−8y−80=xy
10x−8y−80=0
10x−8y=80 ....................... (1)
If there are 16 children more, everyone will get Rs. 10 less.
So, everyone will get Rs. y−10
Total amount of money =(x+16)×(y−10)
⇒(x+16)(y−10)=xy
xy−10x+16y−160=xy
−10x+16y−160=0
−10x+16y=160 ..................... (2)
By adding (1) and (2),
−8y+16y=80+160
8y=240
y=
8
240
=30
From equation (1),
10x=80+8y
10x=80+240
10x=320
x=
10
320
=32
Total money =xy=32×30
=Rs.960
Was this answer helpful?
Money she kept for herself=₹9
Money she distributed among the 7 boys=100-9=91
Money each boy got=91/7=13
Therefore each boy gets ₹13