Mr. X, Mr. Y and Mr. Z started a business with a capital of Tk. 280. Mr. X Paid Tk.45 more than the amount paid by Mr. Y and Mr. Y paid Tk. 70 less than the amount paid by Mr. Z. If they made a profit of Tk. 56, how will the profit be shared among the partners?

Ashifur August 8, 2023 - 14:57

Problem: Mr. X, Mr. Y and Mr. Z started a business with a capital of Tk. 280. Mr. X Paid Tk.45 more than the amount paid by Mr. Y and Mr. Y paid Tk. 70 less than the amount paid by Mr. Z. If they made a profit of Tk. 56, how will the profit be shared among the partners?

View all: MERCANTILE BANK | WRITTEN QUESTION(MATH) SOLVE | 2004

Correct Answer: Mr. X get profit 20 Taka, Mr. Y get profits 1 1_ Taka & Mr. Z get profits 25 Taka.

Explanation:

Let, Z invests = P Taka

Y invests = (P – 70) Taka

X invests = (P — 70 + 45) Taka

Mr. X, Y and Z invest=(P+P—70+P—70+45)= (3P -140 + 45)= (3P — 95) Taka

According to question,3P — 95 = 2803P = 280 + 953p = 375P = 125

Mr. 2 invests = 125 Taka

Mr. Y invests = (P — 70) Taka= 125 – 70 Taka= 55 Taka

Mr. X invests = P – 70 + 45 Taka= 100 Taka

The investment ratio of Mr. X, Y and Z = 100 : 55 :125= 20 : 11 : 25

Total of their investment = 20 + 11 + 25 = 56

Mr. X get profit = 56 x $\frac{20}{56}$= 20 Taka

Mr.‘Y get profits = 56 x $\frac{11}{56}$

= 11 Taka

Mr. Z get profits = 56 X $\frac{25}{56}$

= 25 Taka.

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