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?

Answer 1

	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