Question

(i) A certain sum was divided among A, B and C in the ratio 7:5: 4. If B got 500 more than C find the total sum divided

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Answer 1

Step-by-step explanation:

(i) It is given that

Ratio between A,B and C = 7:5:4

Consider,

A share = 7x

B share = 5x

C share = 4x

So the total sum =7x+5x+4x=16x

Based on the condition

5x–4x=500

x=500

So the total sum =16x=16×500=Rs 8000

(ii) 1 months investment of A=Rs 50000

6 month investment of A=50000×6=Rs 300000

1 months investment of B=Rs 60000

4 month investment of B=60000×4=Rs 240000

1 months investment of C=Rs 80000

5 month investment of C=80000×5=Rs 400000

Here the ratio between their investments = 300000:240000:400000=30:24:40

Sum of ratio = 30=24+40=94

Total earnings = Rs 18800

So we get share of earning by each as ,

A share =

94

30

×18800=Rs 6000

B share =

94

24

×18800=Rs 4800

C share =

94

40

×18800=Rs 8000