Question

Rekha started a business with rs.75000.after 2months sulekha jioned her with rs.65000.at the end of the year out of total profits rekha received rs.20600 which includes 20% of the profits as remuneration for managing the business.find the share of sulekha

Answer 1

 Rekha started a business with rs.75000.after 2months sulekha jioned her with ... the end of the year out of total profits rekha received rs.20600 which includes 20% of .

Answer 2

Ans: 10400

Explanation:

Ratio Calculation:

Profit Ratio:

Rekha’s Capital * months invested: Sulekha’s Captial *months invested

= 75000 x 12: 65000 x 10

= 75 x 12: 65 x 10

= 900: 600

= 18: 13 (Profit Ratio)

Total profit calculation:

Let x be the total profit,

Rekha’s Remuneration for managing the business 20x/100 = x/5

Profit remaining = x - x/5 => 4x/5 of 18:13

Total Amount received by Rekha = x/5 + 4x/5 * 18/31 =20600

=>  x + 4x * 18/31 = 103000 ( multiplying 20600 with 5 from the other side)

=>  x (1+ 72/31) = 103000

=>  x * 103/31 = 103000

=>  x * 1/31 = 1000

=>  x = 31000 ( Total Profit)

Sulekha’s Share :

=> Total profit – Rekha’s share

=> 31000 – 20600

=>     10400 (Sulekha’s share)