A, b and c received an amount of rs 8400 and distributed among themselves in the ratio of 6 : 8 : 7 respectively. If they save in the ratio of 3 : 2 : 4 respectively and b saves rs 400, then what is the ratio of the expenditures of a, b and c respectively?
Answers
Ratio of expenditure of A, B , C is 1 : 1.515 : 1.121
Amount of money received by A , B and C = Rs. 8400 and is divided in the ratio 6:8:7.
Let the share of A be x.
Share of B = 8x/6
Share of C = 7x/6
Total = 8400
=> x + 8x/6 + 7x/6 = 8400
=> 21x/7 = 8400
=> x = 2800
Share of A = Rs. 2800
Share of B = Rs. 3733.33
Share of C = Rs. 3266.66
Given , Savings of B = Rs. 400
Savings of A , B, C is in the ratio 3:2:4
Savings of A = 3/2 × 400 = Rs. 600
Savings of B = 2 × 400 = Rs. 800
Expenditure of A = 2800 - 600 = Rs. 2200
Expenditure of B = 3733.33 -400 = Rs. 3333.33
Expenditure of C = 3266.66 - 800 =Rs. 2466.66
Ratio of expenditure - 2200 : 3333.33 : 2466.66
= 1 : 1.515 : 1.121
Answer:
A:B:C=6:8:7
21 unit = 8400, 1 unit =400
They save in the ratio of 3:2:4 and B saves 400
2 unit = 400, 1 unit= 200
A=6×400=2400 save=3×200=600
Expenditure=2400-600=1800
B=8×400=3200 save=2×200=400
Ex=3200-400=2800
C=7×400=2800 save=4×200=800
Ex=2800-800=2000
The ratio of expenditures of A, B and C is 1800:2800:2000=9:14:10
Step-by-step explanation: