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Cost of 7 spoons, 8 glasses and 9 plates is Rs 83. Cost of 8 spoons, 9 glasses and 10 plates is Rs. 93. Cost of 9 spoons, 10 glasses and 11 plates is Rs 103. What is the cost (in Rs.) of 48 spoons, 54 glasses and 60 plates?

Cost of 7 spoons, 8 glasses and 9 plates is Rs 83. Cost of 8 spoons, 9 glasses and 10 plates is Rs. 93. Cost of 9 spoons, 10 glasses and 11 plates is Rs 103. What is the cost (in Rs.) of 48 spoons, 54 glasses and 60 plates? Correct Answer 558

Let cost of 1 spoons, 1 glasses and 1 plates be x, y and z respectively.

7x + 8y + 9z = 83         ---(1)

8x + 9y + 10z = 93         ---(2)

9x + 10y + 11z = 103         ---(3)

Adding all these equations

24x + 27y + 30z = 279         ---(4)

Multiply equation (4) by 2

48x + 54y + 60z = 558

So, cost of 48 spoons, 54 glasses and 60 plates is 558.

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