Ashifur September 9, 2023 - 17:37
Problem: Price of 3 tables and 5 chairs is Tk. 2,000. Again, price of 5 tables and 7 chairs is Tk.3,200. What is the price of 1 table and 1 chair?

View all: BANGLADESH KRISHI BANK LTD (OFFICER-CASH) WRITTEN QUESTION (MATH) SOLVE | 2018

Correct Answer: The price of 1 table is 500 Tk. and l chair is 100 tk

Explanation:

Let. the price of one table is x Tk.

and the price of one chair is y Tk.

According to the question3x + 5y = 2,000 ………………………………………(i)

5x + 7y = 3,200…………………………………………(ii)

Now, multiplying equation (i) by 5 & (ii) by 3 & subtracting equation (ii) from equation (i)

15x + 25y = 10,000 ………….(iii)

5x + 7y = 9,600 …………………….(iv) [ বিয়োগ করা হল ]

4y = 400

=> y = $\frac{400}{4}$ = 100

Putting the value of y in equation (i) we get3x + 5y = 2,000

=> 3x + (5 x 100) = 2000

=> 3x + 500 = 2,000

=> 3x = 2,000 – 500

=> 3x = 1,500

so, x = $\frac{1500}{3}$

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