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Shanti sweets stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. If the cost of the cardboard is rs 4 for 1000cm^2 .The bigger of dimensions `25cm xx 20cm xx 5 cm` and the smaller of dimensions `15cm xx 12cm xx 5cm`. For all the overlaps, 5% of the total surface area is required for supplying 250 boxes of each kind.

Text Solution

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Surface area of one bigger box `=2(25xx20+20xx5+5xx25)`
`=1450 cm^(2)`
By adding 5% for overlaps `= 1450+72.5=1522.5 cm^(2)`
Area for 250 bigger boxes `= 1522.5xx250 cm^(2)`
Cost for 250 bigger boxes `=1522.5xx250xx(4)/(1000)=Rs. 1522.5`
Surface area of smaller box `=2(15xx12+12xx5+5xx15)=630 cm^(2)`
By adding 5% for overlaps `=630+31.5=661.5 cm^(2)`
Area for 250 small boxes `=661.5xx250xx(4)/(1000)=Rs. 661.5`
Total cost `=1522.5+661.5=Rs. 2184`.
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