A mysorepak in venus bakery is of length 6 centimetres, breadth 4 centimetres and height 2 centimetres. The price of each is 4 rupees. When demand increased, the dimensions were all halved as was the price. Appu went to buy a mysorepak. He exclaimed: You should reduce the price to 50 paise!

Is Appu right? Check it out.

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Solution

Initial length of the mysorepak = 6 cm

Initial breadth of the mysorepak = 4 cm

Initial height of the mysorepak = 2 cm

Initial volume of the mysorepak = Length × Breadth × Height

= 6 cm × 4 cm × 2 cm

= 48 cm³

New dimensions of mysorepak due to increase in price = Half of the initial dimensions

∴ New length of the mysorepak =3 cm

New breadth of the mysorepak =2 cm

New height of the mysorepak = 1 cm

New volume of the mysorepak = Length × Breadth × Height

= 3 cm × 2 cm × 1 cm

= 6 cm³

Initial price of the mysorepak = Rs.4

New price of the mysorepak as fixed by the shopkeeper =Initial price of the mysorepak

= Rs.2

Price of the mysorepak according to Appu = Rs.0.5

Ratio of price = New price : Initial price = 0.5 : 4 = 1 : 8

Ratio of volumes = New volume : Initial volume = 6 : 48 = 1 : 8

According to Appu, price must be reduced in the ratio of volume.

Yes, Appu is absolutely right.

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