Rs 2030 is divided into A,B,C in such a way that after subtracting Rs 15, Rs 10, Rs 5 the ratio becomes 8:7:5
Answers
Step-by-step explanation:
Given:-
Rs 2030 is divided into A,B,C in such a way that after subtracting Rs 15, Rs 10, Rs 5 the ratio becomes 8:7:5.
To find:-
The shares of A ,B and C
Solution:-
Total amount is divided among A,B and C
= Rs.2030
Ratio becomes after Subtracting Rs.15,Rs.10 and Rs.5 =8:7:5
Let they be 8x ,7x and 5x
The shares before subtracting Rs.15,Rs.10 and
Rs.5 =(8x+15),(7x+10) and (5x+5)
The share of A=8x+15
The share of B=7x+10
The share of C=5x+5
Total shares of A,B and C
=>8x+15+7x+10+5x+5
=>20x+30
Total amount = Total share
=>20x+30=2030
=>20x=2030-30
=>20x=2000
=>x=2000/20
=>x=100
Now, 8x+15=8(100)+15=800+15=815
7x+10=7(100)+10=700+10=710
5x+5=5(100)+5=500+5=505
Answer:-
The share of A=Rs.815
The share of B=Rs.710
The share of C=Rs.505
Check:-
Total share =815+710+505=Rs.2030
The amounts after Subtracting Rs.15 ,Rs.10 and Rs.5 from them respectively,
815-15=800
710-10=700
505-5=500
Their ratio is
=>800:700:500
=>8:7:5
Given relations are verified