Question

A coffee shop blends 2 kinds of coffee, grade A and grade B, by putting in 2 parts of a grade A to 1 part of grade B. If the mixture is changed to 1 part of grade A to 2 parts of grade B, how much will the shop save in blending 100 gms, if grade A costs 33 PKR. per gram and grade B costs 24 PKR. per gram?​

Answer 1

Step-by-step explanation:

COMPLETE QUESTION:

A coffee shop blends 2 kinds of coffee, putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm. If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade. How much will the shop save in blending 100 gms?

SOLUTION:

Cost of 3 gms of coffee by putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm = 90 paisa

cost of 1 gms of coffee by putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm = 30 paisa

cost of 3 gms of mixture changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade = 81 paisa

cost of 1 gms of mixture changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade = 27 paisa

Diff in cost for 1 gm mixture = 3 paisa

diff in cost for 100 gm mixture = 300 paisa = 3 Rs.

Answer 2

Concept

First we need to understand the concept of ratio of mixtures and aligation and the profit and loss to solve this proGiveno

Given

Grade A coffee in ratio = $2$

Grade B coffee in ratio = $1$

Changed Grade A coffee present in ratio = $1$

Changed Grade B coffee present in ratio = $2$

Grade A Coffee cost = $33$ PKR/gram

Grade B Coffee cost = $24$ PKR/gram

To Find

Saving of blending in $100gm$ after changed in Grade A and Grade ratio

Explanation

Grade A and B coffee ratio = $2:1$

Cost of Grade A and B per gram = $33$ and $24$

Total cost of Grade A and B mixture = $33\cdot2+24\cdot1$ = $90$

Changed Grade A and B coffee ratio = $1:2$

Total cost of changed Grade A and B mixture = $1\cdot33+2\cdot24$ = $81$

Total Saving of Grade A and B coffee per gram = $90-81=9$

Saving of $100gram$ of Grade A and B coffee = $100\cdot9$ = $900$

The Total Saving of Grade A and B coffee after blending $100gram$ = $900$ PKR

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