1.

The cost of 4 pairs of socks and 5 mufflers is 5400 and cost of 2 pairs of socks and 7 mufflers is 4500. Find the ratio between the cost price of one muffler and one pair of socks.1. 8 : 172. 17 : 83. 6 : 54. 5 : 65. None of the above.

Answer» Correct Answer - Option 1 : 8 : 17

Given:

(i) Cost of 4 socks and 5 mufflers = 5400

(ii) Cost of 2 socks and 7 mufflers = 4500

Calculations:

⇒ Let the cost price of one pair of socks be x.

⇒ Let the cost price of one muffler be y.

⇒ According to the question

⇒ 4x + 5y = 5400           …………………..(i)

⇒ 2x + 7y = 4500           ……………………(ii)

⇒ After solving equation (i) and (ii),

⇒ y = 400 ; x = 850

Required Ratio:

= 400 : 850

= 40 : 85

= 8 : 17.



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