Divide Rs. 2890 between A.B and C such that A:B=1:2 and B:C=3:4.
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A:B=1:2 and B:C=3:4
So B is 2 and 3 in the ratios..find lcm of 2 and 3, that is 6. So make B as 6 in both ratios..
A:B= 1:2 = 1×3 : 2×3 = 3:6
B:C = 3:4 = 3×2 : 4×2 = 6:8
So A:B:C = 3:6:8
Now divide 2890 in the ratio 3:6:8
Let A gets 3x, B gets 6x and C gets 8x
3x + 6x + 8x = 2890
=> 17x = 2890
=> x = 2890/17 = 170
A gets = 3x = 3×170 = 510
B gets = 6x = 6×170 = 1020
C gets = 8x = 8×170 = 1360
So B is 2 and 3 in the ratios..find lcm of 2 and 3, that is 6. So make B as 6 in both ratios..
A:B= 1:2 = 1×3 : 2×3 = 3:6
B:C = 3:4 = 3×2 : 4×2 = 6:8
So A:B:C = 3:6:8
Now divide 2890 in the ratio 3:6:8
Let A gets 3x, B gets 6x and C gets 8x
3x + 6x + 8x = 2890
=> 17x = 2890
=> x = 2890/17 = 170
A gets = 3x = 3×170 = 510
B gets = 6x = 6×170 = 1020
C gets = 8x = 8×170 = 1360
Answered by
4
Answer:
Step-by-step explanation:
A B. C
1 : 2
3: 4
A:B:C = 3:6:8
3+6+8=17
17——>2890
1 ———>170
A——> 3 ——> 3*170 =510
B——>6 ———> 6*170=1020
C——->8———>8*170=1360
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