Azad invested Rs 55000 in a cosmetic shop for the whole year After 4 months of Azad Hind joined him ...........

Quant (SSC) Partnership

Azad invested Rs 55000 in a cosmetic shop for the whole year. After 4 months of Azad, Hind joined him and invested Rs 70000. Next year Azad invested Rs 10000 more and Hind withdrew Rs 10000 and at the end of two years profit earned by Azad is Rs 32375. Find the total profit if they distributed half of the total profit equally and rest in the capital ratio.

Rs 89600

Rs 75600

Rs 52800

Rs 62900

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Explanation:

Azad invested Rs 55000 for a year and Rs 65000 for the next year.
Hind invested Rs 70000 for 8 months and Rs 60000 for the next year.
Capital Ratio = 55000 × 12 + 65000 × 12 : 70000 × 8 + 60000 × 12
= 660000 + 780000 : 560000 + 720000
= 1440000 : 1280000 = 9 : 8
Let total profit = Rs x
Azad's profit = x × 50% × 50% + x × 50% × 9/17
32375 = x /4 + 9x /34
32375 = 35x /68
x = 62900