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Question
A shopkeeper in a Nuts and Spices shop makes gift packs of cashew nuts, raisins and almonds. Pack I contains 100 gm of cashew nuts, 100 gm of raisins and 50 gm of almonds. Pack-II contains 200 gm of cashew nuts, 100 gm of raisins and 100 gm of almonds. Pack-III contains 250 gm of cashew nuts, 250 gm of raisins and 150 gm of almonds. The cost of 50 gm of cashew nuts is ₹ 50, 50 gm of raisins is ₹ 10, and 50 gm of almonds is ₹ 60. What is the cost of each gift pack?
Solution
| Cashew nuts | Raisins | Almonds | |
| Pack - I | 100 gm | 100 gm | 50 gm |
| Pack - II | 200 gm | 100 gm | 100 gm |
| Pack - III | 250 gm | 250 gm | 150 gm |
Cashew 50 gm ₹ 50
Raisins 50 gm ₹ 10
Almonds 50 gm ₹ 60
∴ Cost per gram:
Cashew 1 gm ₹ 1
Raisins 1 gm ₹ `1/5`
Almonds 1 gm ₹ `6/5`
∴ Cost of each pack:
`[(100, 100, 50),(200, 100, 100),(250, 250, 150)] [(1),(1/5),(6/5)]`
= `[(100 + 20 + 60),(200 + 20 + 120),(250 + 50 + 180)] = [(180),(340),(480)]`
∴ Cost of pack I = ₹ 180
Cost of pack II = ₹ 340
Cost of pack III = ₹ 480
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