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Two types of tea, A and B, are mixed | Quantitative Aptitude - Arithmetic – Profit and Loss

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Profit and Loss: Two types of tea, A and B, are mixed. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

CAT 2018 - Slot-1 - Profit and Loss - Question-4 - Two types of tea, A and B, are mixed

Q. 4: Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices, per kg, of A and B are in the ratio

1. 18 : 25

2. 19 : 24

3. 21 : 25

4. 17 : 25

When A and B are mixed in the ratio 3:2, CP = (3A+2B)/(5 )=40/1.1

 

3A +2B = 2000/11 ——-1)

 

When A and B are mixed in the ratio 2:3, CP = (2A+3B)/(5 )=40/1.05

 

2A +3B = 20000/105 = 4000/21 ———–2)

 

By solving eq 1) & 2)

 

A = 7600/21*11 and B = 9600/21*11

 

Thus A:B = 19:24

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