Advertisements
Advertisements
प्रश्न
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?
उत्तर
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
APPEARS IN
संबंधित प्रश्न
Construct a 3 × 3 matrix whose elements are given by aij = |i – 2j|
If A = `[(sqrt(7), - 3),(- sqrt(5), 2),(sqrt(3), -5)]` then find the transpose of – A
If A = `[(1, 9),(3, 4),(8, -3)]`, B = `[(5, 7),(3, 3),(1, 0)]` then verify that A + (– A) = (– A) + A = 0
If A = `[(0, 4, 9),(8, 3, 7)]`, B = `[(7, 3, 8),(1, 4, 9)]` find the value of 3A – 9B
Let A = `[(1, 2),(1, 3)]`, B = `[(4, 0),(1, 5)]`, C = `[(2, 0),(1, 2)]` Show that A(BC) = (AB)C
Let A = `[(1, 2),(1, 3)]`, B = `[(4, 0),(1, 5)]`, C = `[(2, 0),(1, 2)]` Show that (A – B)C = AC – BC
Transpose of a column matrix is
Consider the matrix Aα = `[(cos alpha, - sin alpha),(sin alpha, cos alpha)]` Find all possible real values of α satisfying the condition `"A"_alpha + "A"_alpha^"T"` = I
If A = `[(4, 2),(-1, x)]` and such that (A – 2I)(A – 3I) = 0, find the value of x
Give your own examples of matrices satisfying the following conditions:
A and B such that AB = 0 = BA, A ≠ 0 and B ≠ 0
If AT = `[(4, 5),(-1, 0),(2, 3)]` and B = `[(2, -1, 1),(7, 5, -2)]`, veriy the following
(A + B)T = AT + BT = BT + AT
If A is a 3 × 4 matrix and B is a matrix such that both ATB and BAT are defined, what is the order of the matrix B?
If A and B are symmetric matrices of same order, prove that AB – BA is a skew-symmetric matrix
Choose the correct alternative:
If A and B are symmetric matrices of order n, where (A ≠ B), then
Choose the correct alternative:
A root of the equation `|(3 - x, -6, 3),(-6, 3 - x, 3),(3, 3, -6 - x)|` = 0 is
A matrix is an ordered:-
If the matrix 'A' is both symmetric and strew symmetric then.
Let A = `[(cosα, -sinα),(sinα, cosα)]`, α ∈ R such that A32 = `[(0, -1),(1, 0)]`. Then a value of α is ______.
If A = `[(1, 2),(2, 3)]` and A2 – kA – I2 = 0, then value of k is ______.