Question 1 - Figure it out - Page 93, 94, 95 - Chapter 4 Class 7 - Another Peek beyond the Point (Ganita Prakash II)

Transcript

How could we fix this? To get rid of those 3 extra days, future humans might decide on a new rule. For example: The " 3200 Rule": If we skip the leap year every 3,200 years (years that are normally leap years like 3200,6400 , and 9600 ), we would subtract those 3 days and be almost perfectly back on track! To find out which is cheaper, we need to find the cost per gram Peanut Chikki Given that 210 gram packet of peanut chikki costs ₹70.5 Cost per gram = (𝑇𝑜𝑡𝑎𝑙 𝑐𝑜𝑠𝑡)/(𝑇𝑜𝑡𝑎𝑙 𝑤𝑒𝑖𝑔ℎ𝑡) = (𝟕𝟎.𝟓)/𝟐𝟏𝟎 Converting into fractions = 70.5 × 1/210 = 705/10 × 1/210 = 705/10 × 1/(21 × 10) = 705/21 × 1/(10 × 10) = 235/7 × 1/100 = 𝟐𝟑𝟓/𝟕𝟎𝟎 We find decimal till 3 decimal places, and then compare Thus, cost per gram of Peanut Chikki is around ₹ 0.335 per gram Potato Chips Given that 110 gram packet of potato chips costs ₹33.25 Cost per gram = (𝑇𝑜𝑡𝑎𝑙 𝑐𝑜𝑠𝑡)/(𝑇𝑜𝑡𝑎𝑙 𝑤𝑒𝑖𝑔ℎ𝑡) = (𝟑𝟑.𝟐𝟓)/𝟏𝟏𝟎 Converting into fractions = 33.25 × 1/110 = 3325/100 × 1/110 = 𝟑𝟑𝟐𝟓/𝟏𝟏𝟎𝟎𝟎 Thus, cost per gram of Potato Chips is around ₹ 0.302 per gram Since 0.302 < 0.335, the Potato Chips are cheaper.