[Rs. 3900] The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is

For Competitive Exams

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:

Rs. 3500

Rs. 3750

Rs. 3840

Rs. 3900

Explanation:

Let the cost of a chair and that of a table be Rs. $ x $ and Rs. $ y $ respectively.

Then, 10$ x $ = 4$ y $ or $ y $ =$ \dfrac{5}{2} x $.

$\therefore$ 15$ x $ + 2$ y $ = 4000

$\Rightarrow$ 15$ x $ + 2$ \times \dfrac{5}{2} x $ = 4000

$\Rightarrow$ 20$ x $ = 4000

$\therefore x $ = 200.

So, $ y $ =$ \left(\dfrac{5}{2} \times 200\right) $= 500.

Hence, the cost of 12 chairs and 3 tables = 12$ x $ + 3$ y $

= Rs. $\left(2400 + 1500\right)$

= Rs. 3900.

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