Question

Arun, Kamal and Vinay invested Rs.8000, Rs.4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
A)

Answer 1

Step-by-step explanation:

example hope it's helpful

Now as per question, Kamal invested for 12 months and Sameer invested for 7 months.

So Kamal : Sameer = (9000 × 12) : (8000 × 7)

= 108 : 56

= 27 : 14

Sameer Ratio in profit will be

=6970×1441=Rs. 2380

Answer 2

Sᴏʟᴜᴛɪᴏɴ :-

Profit is distributed among partners in the ratio of their (capitals invested * Time).

→ Arun invested = Rs.8000

→ Arun Time = 6 Months.

→ Kamal invested = Rs.4000

→ Kamal Time = 8 Months.

→ Vinay invested = Rs.8000

→ Vinay Time = 8 Months.

Therefore,

→ Ratio of Profit :- (8000 * 6) : (4000*8) : (8000*8) = 48 : 32 : 64 = 6 : 4 : 8 = 3 : 2 : 4 = Arun : Kamal : Vinay.

Lets us Assume That, share of Arun , kamal & vinay in profit is 3x, 2x & 4x.

Than,

→ Total Profit = Rs.4005 (Given.)

→ (3x + 2x + 4x) = 40005

→ 9x = 4005

→ x = 445

→ 2x = kamal share = 2*445 = Rs.890 (Ans.)

Hence, Share of kamal in the Profit is Rs.890.