Question

P and Q are partners. P gets 60% and Q gets 40% of profits R is admitted for 20 paise in a rupee. Find out
new ratio and sacrifice ratio.​

Answer 1

Answer:

Ratio of P and Q

60%:40%

=6:4=3:2

R admitted for 20/100 share means 1/5

Calculation of new ratio

Let total share of profit be 1

R share 1/5

Remaining share 1-1/5=4/5

P new share = 4/5×3/5= 12/25

Q new share = 4/5×2/5= 8/25

P:Q:R

12/25:8/25:1/5

12:8:5

sacrifice ratio = old ratio- new ratio

P= 3/5-12/25= 15-12/25=3/25

Q = 2/5-8/25=10-8/25=2/25

sacrifice ratio = 3/25:2/25=3:2

Answer 2

P and Q are partners

THERE SHARE 60% : 40%

≈ 6 : 4

≈ 3 : 2

R is taken with 20 / 100 share.

≈ 1 : 5

So , new ratio ;

let total share of the profit be 1

R's share 1/5

Remaining share = 1 - 1/5

= 4/5

P's new share = 4/5 × 3/5 = 12/25

Q's new share = 4/5 × 2/5 = 8/25

P:Q:R

12/25 : 8/25 : 1/5

≈ 12/25 : 8/25 : 5/25

12 : 8 : 5

Sacrifice ratio = old ratio -new ratio

P = 3/5 - 12/25

= 15 / 25 - 12/25

= 3/25

Q = 2/5 - 8/25

= 10/25 - 8/25

= 2/25

Hence ,

Sacrifice ratio = 3:2