Three workers X, Y and Z, are paid a total of Tk.5,500 for particular jobs. X paid 133.33% of the amount paid to Y and Y is paid 75% amount paid to Z.How much i

Three workers X, Y and Z, are paid a total of Tk.5,500 for particular jobs. X paid 133.33% of the amount paid to Y and Y is paid 75% amount paid to Z.How much is paid to Z?

Three workers X, Y and Z, are paid a total of Tk.5,500 for particular jobs. X paid 133.33% of the amount paid to Y and Y is paid 75% amount paid to Z.How much is paid to Z? ?

Created: 1 year ago | Updated: 2 months ago | Created By:

Ashraful Islam

1780

1890

1975

2000

0 19

Institution: Bangladesh Development Bank Exam: Bangladesh Development Bank Ltd - Senior Officer - 24.11.2017
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To solve the problem, let's denote the amounts paid to X, Y, and Z as \(X\), \(Y\), and \(Z\) respectively.

From the problem, we know:

1. The total payment is \(X + Y + Z = 5500\).
2. X is paid 133.33% of Y, which can be expressed as:
\[
X = 1.3333 Y
\]
This can also be written as:
\[
X = \frac{4}{3} Y
\]

3. Y is paid 75% of Z, which gives:
\[
Y = 0.75 Z
\]

Now, substituting the expression for \(Y\) into the equation for \(X\):
\[
X = \frac{4}{3} (0.75 Z) = \frac{4 \times 0.75 Z}{3} = \frac{3 Z}{3} = Z
\]
Thus, \(X = Z\).

Now we can substitute both \(X\) and \(Y\) in terms of \(Z\) into the total payment equation:
\[
X + Y + Z = Z + 0.75Z + Z = 2.75Z = 5500
\]

Solving for \(Z\):
\[
Z = \frac{5500}{2.75} = 2000
\]

So, the payment to Z is \(2000\). This calculation matches option D, confirming that the correct answer is indeed **2000**.

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Three workers X, Y and Z, are paid a total of Tk.5,500 for particular jobs. X paid 133.33% of the amount paid to Y and Y is paid 75% amount paid to Z.How much is paid to Z? ?

ফাংশন f:R→R.f(x)=x+1 হলে ফাংশনটি হবে-

If the interest of Tk.H of H% in 4years is Tk.H,Then H=?

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