Puzzle: 211                                                                                                                 13.07.2018

A box in the shape of a perfect cube with a volume of 1 lit is placed inside a cylinder. The dimensions of the cylinder is such that the box fits exactly inside it. The cylinder is then placed inside a larger cubical box. Again it is perfectly fit. What is the volume of the larger box? (Ignore the thicknesses of walls of small box and cylinder)

The answer for puzzle-210: 220 kg

Solution for puzzle-210:

               Let x be the weight of sugar sold with 6% profit.

Then (550-x) is the weight of sugar sold with 4% loss

Let y be the cost of sugar per kg

xy (1.06) + (550-x) 0.96y = 550y(1.02)

1.06 xy + ( 550 * 0.96y) – 0.96xy = 550(1.02)y

Cancelling y throughout,

1.06x + 528- 0.96x = 561

0.1x = 561-528= 33

X=330

The weight of sugar sold at 6% profit is 330kg

The weight of sugar sold at 4% loss is (550-330) = 220kg