# The total cost of 8 buckets and 5 mugs is 92 Rs. and the total cost of 5 buckets and 8 mugs is 77 Rs. Find the cost of 2 mugs and 3 buckets.

The total cost of 8 buckets and 5 mugs is 92 Rs. and the total cost of 5 buckets and 8 mugs is 77 Rs. Find the cost of 2 mugs and 3 buckets.

[A]30 Rs.

[B]35 Rs.

[C]38 Rs.

[D]70 Rs.

**35 Rs.**

C.P. of 1 bucket = x

C.P. of 1 mug = y

∴ 8x + 5y = 92 …..(1)

5x + 8y = 77 …..(2)

By using equation (1) 5 – equation (2) 8,

40x + 25y – 40x – 64y = 460 – 616

=> -39y = -156

=> y = 4

From equation (1),

8x + 20 = 92

=> 8x = 92 – 20 = 72

=> x = 9

∴ C.P. of 2 mugs and 3 buckets

= 2 4 + 3 9

= 8 + 27 = 35 Rs.

Hence option [B] is correct answer.

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