Question

P and Q are partners sharing profits in the ratio of 1 : 2. R was a manager who received a salary of ₹ 10,000 p.m. in addition to a commission of 10% on net profits after charging such commission. Total remuneration to R amounted to ₹ 1,80,000. Profit for the year before charging salary and commission was ______.

पर्याय

• ₹ 7,20,000

• ₹ 6,00,000

• ₹ 7,80,000

• ₹ 6,60,000

Answer 1

P and Q are partners sharing profits in the ratio of 1 : 2. R was a manager who received a salary of ₹ 10,000 p.m. in addition to a commission of 10% on net profits after charging such commission. Total remuneration to R amounted to ₹ 1,80,000. Profit for the year before charging salary and commission was ₹ 7,80,000.

Explanation:

Total remuneration = 1,80,000

Salary = 10,000 × 12 = 1,20,000

Commission = 1,80,000 − 1,20,000

= 60,000

Let the net profit before salary and commission be X.

Commission is 10% after charging such commission, i.e.,

Commission = `10/100 xx "(Profit before salary and commission − Salary)"`

`60,000 = 10/100 xx (X − 1,20,000)`

60,000 × 110 = 10 × (X − 1,20,000)

66,00,000 = 10X − 12,00,000

66,00,000 + 12,00,000 = 10X

10X = 78,00,000

X = `(78,00,000)/10`

X = 7,80,000