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 = $\frac{1500}{3}$