# X invest part of total investment for of total time duration, Y invest

| X invest part of total investment for of total time duration, Y invest part for of total time duration & Z invest rest of investments for whole time duration. If total profit is Rs. 5700 then find the difference between profit of X & Z.

A. Rs. 3500

B. Rs. 3900

C. Rs. 4300

D. Rs. 4500

### Right Answer is: B

#### SOLUTION

Let total investment = LCM (4,5) = 20

Investment of X = unit

Investment of Y= unit

Investment of Z= 20 – (5+4) = 11 unit

Investment ratio of X, Y & Z = 5 : 4 : 11

Ratio of time duration of X, Y and Z =

Profit earned (Investment Time)

Ratio of Profit earned by X, Y and Z = = 5:8:44

Hence total profit = 57 unit

⇒ 57 unit = 5700

⇒ 1 unit = 100

Difference between profit of X & Z = 44 – 5 = 39 unit = 39×100 = Rs. 3900

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X invest part of total investment for of total time duration, Y invest