Question

a b c are partners sharing in the ratio 4:3:2 .They admitted D 1/9 share it is agreed that a would retain his original share calculate the new ratio and sacrificing ratio​

Answer 1

Answer:

New Ratio = 32:24:16:9

Sacrificing Ratio = 4:3:2

Explanation:

Old ratio = 4:3:2

Let, Total share of profit = 1

D's share of profit = 1/9

Remaining share of profit = 1 - 1/9

= 8/9

Calculation of New Ratio -

A's new share = 8/9 × 4/9 = 32/81

B's new share = 8/9 × 3/9 = 24/81

C's new share = 8/9 × 2/9 = 16/81

D's share(given) = 1/9 × 9/9 = 9/81

Therefore, New ratio = 32:24:16:9

Calculation of sacrificing ratio -

A a/c = 4/9 - 32/81 = 4/81 (sacr)

B a/c = 3/9 - 24/81 = 3/81 (sacr)

C a/c = 2/9 - 16/81 = 2/81 (sacr)

Therefore, Sacrificing ratio = 4:3:2

Answer 2

Answer:

New Ratios=20:12:8:5

Sacrificing Ratios=3:2

Explanation:

old ratio of ABC is 4 : 3 : 2

D's Share is 1/9

remaining share=1-1/9=8/9

A's new share=4/9

Remaining Share=8/9-4/9=4/9

according to the question, A has not sacrificed anything as the new ratio and old ratio of A are equal, all the sacrifices are made by B and C

therefore, the remaining share is to be distributed among B and C their old ratios are 3:2

Hence, the remaining profit is to be distributed between B and C in the ratio 3/5 & 2/5

NR of B=3/5×4/9=12/45

NR of C=4/9×2/5=8/45

Therefore, the new ratios are 4×5/9×5:4×3/15×3:8/45:1×5/9×5

or

20:12:8:5

Sacrificing ratio of a=OR-NR=0

Sacrificing ratio of B=OR-NR=3/9-4/15=3/45

Sacrificing ratio of C=OR-NR=2/9-8/45=2/45

SACRIFICING RATIOS ARE-3/45:2/45 or 3:2