divide Rs 107.50 between A, B and C such a way that A:B=5:4 and B:C=3:4

so, here A:B = 5:4

and,

B:C = 3:4

In both the ratios A:B and B:C the value of B is different so we have to same it .

Take A:B

A:B = 5:4

we can write 5:4 as

(5×3) : (4×3)

15:12

so, A:B = 15:12

Now , B:C

3:4

we can write 4:3 as

(3×4) : (4×4)

12:16

Now ,

A:B = 15:12

B:C = 12:16

Now, the value of B in both the ratios is same so,

A:B:C = 15:12:16

let the part of rs that are given to all are

A = 15x

B = 12x

C = 16x

Total money = 107.50 rs

15x + 12x + 16x = 107.50 rs

43x = 107.50 rs

x = 107.50/43

x = 2.5 rs

So, the money that is distributed in A , B and C are :-

A = 15x

15 × 2.5 rs

37.5 rs

B = 12x

12 × 2.5 rs

30 rs

C = 16x

16 × 2.5

40 rs.

plz like my answer and accepted as best Plz accepted as best bottom click and yes to accepted as best

solution=Hey here is your answer

your question is :-

divide Rs 107.50 between A, B and C such a way that A:B=5:4 and B:C=3:4

so, here A:B = 5:4

and,

B:C = 3:4

In both the ratios A:B and B:C the value of B is different so we have to same it .

Take A:B

A:B = 5:4

we can write 5:4 as

(5×3) : (4×3)

15:12

so, A:B = 15:12

Now , B:C

3:4

we can write 4:3 as

(3×4) : (4×4)

12:16

Now ,

A:B = 15:12

B:C = 12:16

Now, the value of B in both the ratios is same so,

A:B:C = 15:12:16

let the part of rs that are given to all are

A = 15x

B = 12x

C = 16x

Total money = 107.50 rs

15x + 12x + 16x = 107.50 rs

43x = 107.50 rs

x = 107.50/43

x = 2.5 rs

So, the money that is distributed in A , B and C are :-

A = 15x

15 × 2.5 rs

37.5 rs

B = 12x

12 × 2.5 rs

30 rs

C = 16x

16 × 2.5

40 rs.

hope this helps you

#Plz accepted as best