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1. In a shop, the cost of 5 shirts, 5 pairs of trousers and 3 hats is Tk. 710. The cost of 11 shirts, 11 pairs of trousers and 8 hats is Tk. 1,590. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?

  • A. Tk. 130
  • B. Tk. 130
  • C. Tk. 130
  • D. Tk. 130

Answer: Option B

Explanation:

5 shirt , 5 pairs of trousers and 3 hats = 710 TK - - - - - (i)

Now, multiplying both sides by 2,

10 shirt , 10 pairs of trousers and 6 hats = 1420 TK  - - - - - - - (ii)

Again, 11 shirt , 11 pairs of trousers and 8 hats = 1590 TK  - - - - - - (iii)

Now,  {(iii) - (ii)}>> 1 shirt , 1 pair of trousers and 2 hats = 170 TK - - - - - (iv)

{(iii)×5}>>   5 shirt , 5 pairs of trousers and 10 hats = 850 TK - - - - - - (v)

Now,  {(v) - (i)}>>  7 hats = 140 TK

So,  1 hat = 140/7 = 20 TK

From (iv),   1 shirt , 1 pair of trousers and 1 hat = 170 - 20 =  150 TK 

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