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Cost of 16 Headphones, 10 Tabs and 6 Smartphones is Rs. 111. Cost of 18 Headphones, 12 Tabs and 10 Smartphones is Rs. 130. Cost of 32 Headphones, 22 Tabs and 6 Smartphones is Rs. 221. What is the cost (in Rs.) of 111 Headphones, 74 Tabs and 37 Smartphones?

Cost of 16 Headphones, 10 Tabs and 6 Smartphones is Rs. 111. Cost of 18 Headphones, 12 Tabs and 10 Smartphones is Rs. 130. Cost of 32 Headphones, 22 Tabs and 6 Smartphones is Rs. 221. What is the cost (in Rs.) of 111 Headphones, 74 Tabs and 37 Smartphones? Correct Answer 777

Let assume price of 1 Headphone = x, price of 1 Tab = y and price of one Smartphone = z

Then, 16x + 10y + 6z = 111      ----(1)

18x + 12y + 10z = 130      ----(2)

32x + 22y + 6z = 221      ----(3)

Adding (1), (2) and (3), we get

66x + 44y + 22z = 462

⇒ 3x + 2y + z = 21      ------ (By Dividing both side by 22)

⇒ 111x + 74y + 37z = 777     ------(multiplying with 37) 

∴ Cost of 111 Headphones, 74 Tabs and 37 Smartphones is Rs. 777.

Do not try to solve for each one of the values. We are asked about the cost of 111 Headphones, 74 Tabs and 37 Smartphones, observe that the given data is multiple of 37 which means there must be something in the question which will make our calculation shorter. 

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