A coffee shop blends 2 kinds of coffee, putting in 2 parts of a 33paisa/gm.…
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A coffee shop blends 2 kinds of coffee, putting in 2 parts of a 33paisa/gm. grade to 1 part of a 24paisa/gm. If the mixture is changed to 1 part of the 33paisa/gm. to 2 parts of the less expensive grade, how much will the shop save in blending 100 gms.
- A.
Rs.90
- B.
Rs.1.00
- C.
Rs.3.00
- D.
Rs.8.00
Attempted by 8 students.
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Correct answer: C
Answer: Rs. 3
Compute the cost for 100 g in each blending method (prices are in paise per gram).
Original blend: 2 parts of 33 paise/g and 1 part of 24 paise/g → total 3 parts. Quantity of 33 paise/g = (2/3)×100 g, quantity of 24 paise/g = (1/3)×100 g. Cost = (2/3)×100×33 + (1/3)×100×24 = 2200 paise + 800 paise = 3000 paise.
Changed blend: 1 part of 33 paise/g and 2 parts of 24 paise/g → total 3 parts. Quantity of 33 paise/g = (1/3)×100 g, quantity of 24 paise/g = (2/3)×100 g. Cost = (1/3)×100×33 + (2/3)×100×24 = 1100 paise + 1600 paise = 2700 paise.
Saving = 3000 paise − 2700 paise = 300 paise = Rs. 3 (since 100 paise = Rs.1).