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

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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

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