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Ten chairs and six tables together cost Rs.6200, three chairs and two tables together cost Rs.1900. The cost of 4 chairs and 5 tables is
A) Rs.3000
B) Rs.3300
C) Rs.3500
D) Rs.3800
Correct answer:
A) Rs.3000
Description for Correct answer:
Let the cost of one chair be Rs. x
and cost of one table be y.
By given condition,
10x + 6y = 6200 ...(i)
and 3x + 2y = 1900
= 9x + 6y = 5700 ...(ii)
On subtracting Eq. (ii) from Eq. (i), we get
x = Rs.500
From Eq. (i),
5000 + 6y = 6200
= 6y = 1200
Therefore, y = Rs.200
The cost of 4 chairs and 5 tables
= 4x + 5y
= \( \Large 4 \times 500 + 5 \times 200 \)
= 2000 + 1000 = Rs.3000
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