This is an important ques from the Book ML Aggarwal class 10th,, chapter – 7, ratio and proportion.

In first the question we have to apply the sum distribution in given ratio.

And in second ques we have to find the share using application of share distribution.

Ques 18

Solution:(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) 6 months investment of A = Rs 50000

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

4 months investment of B = Rs 60000

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

5 months investment of C = Rs 80000

1 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

A share = 30/94 × 18800 = Rs 6000

B share = 24/94 × 18800 = Rs 4800

C share = 40/94 = 18800 = Rs 8000