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

Slot -1 – Quantitative Aptitude – Arithmetic – Profit and Loss – Two types of tea, A and B, are mixed

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?

a) 19:24
b) 18:25
c) 21:25
d) 17:25

Solution:
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
Option a) 19:24 is correct.

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