Question

A shopkeeper sold 64 kettles of two different capacities. The smaller kettle costs a rupee less than the larger one. The shop made 100 rupees from the sale of large kettles and 36 rupees from the sale of small ones. How many kettles of either capacity did the shop sell and what was the price of each kettle?

• A. 20 kettles for 2.5 rupees each and 14 kettles for 1.5 rupees each
  
• B. 40 kettles for 4.5 rupees each and 24 kettles for 2.5 rupees each
  
• C. 40 kettles for 2.5 rupees each and 24 kettles for 1.5 rupees each
  
• D. Either a or b

Answer 1

The correct option is C 40 kettles for 2.5 rupees each and 24 kettles for 1.5 rupees each


Let "s" and "l" be the number of small & large kettles respectively. Let x be the price of the small kettle. Hence, large kettle's price would be = x + 1.
Given,
s + l = 64 --------1)
l*(x + 1) = 100 ----- 2)
s*x = 36 -------- 3)
Solving 1), 2) & 3), we get
s = 24 , l = 40 , x = Rs. 1.5