Question

The cost of 5 chairs and 3 tables is Rs. 3110. Cost of 1 chair is Rs 210 less than the cost of 1 table. What is the cost of 2 tables and 2 chairs?

• A. Rs. 1660
• B. Rs. 1860
• C. Rs. 2600
• D. Cannot be determined
• E. None of the above

Answer 1

The correct option is A Rs. 1660

Let, the cost of one chair = C
and the cost of one table = T
Then, 5C + 3T = 3110 ....... (1)
and,
T - C = 210 or, T = 210 + C ...... (2)
On putting value of T in Equation (1),
5C + 3(210 + C) = 3110
$\Rightarrow$ 5C + 630 + 3C = 3110
$\Rightarrow$ 8C = 3110 - 630
$\Rightarrow C=\frac{2480}{8}=Rs.310$
$\therefore$ Cost of one table (T) = 210 + 310
= 520
Hence, the cost of two tables and two chairs
= 2T + 2C
$=2\times 520+2\times 310$
$=1040+620$
$=Rs.1660$