Question

P and Q are partners sharing profits in the ratio of 9 : 7. R is admitted as a partner with a `9/20`th share in the profits, which he takes `1/5`th from P and `1/4`th from Q. The sacrifice ratio will be ______.

Options

• 5 : 4

• 9 : 7

• 7 : 9

• 4 : 5

Answer 1

P and Q are partners sharing profits in the ratio of 9 : 7. R is admitted as a partner with a `9/20`th share in the profits, which he takes `1/5`th from P and `1/4`th from Q. The sacrifice ratio will be 4 : 5.

Explanation:

The sacrificing ratio is the ratio of the absolute amounts sacrificed by P and Q:

Sacrificing ratio of P and Q = `1/5 : 1/4`

To express this ratio in whole numbers, find a common denominator for 5 and 4.

Sacrificing ratio of P = `1/5`

= `(1 xx 4)/(5 xx 4)`

= `4/20`

Sacrificing ratio of Q = `1/4`

= `(1 xx 5)/(4 xx 5)`

= `5/20`

The sacrificing ratio is P and Q = `4/20 : 5/20` or 4 : 5.