5 kg of tea and 8 kg of sugar together cost Rs. 172. The price of tea has risen by 20% and that of sugar by 10%. Hence the same quantities of tea and sugar now cost Rs. 199.20. What is the original price of tea per kg ?

A. Rs. 16

B. Rs. 18

C. Rs. 19

D. Rs. 20

Answer: Option D

Solution(By Examveda Team)

Let the original price of tea be Rs. x per kg and that of sugar be Rs. y per kg
Then,
5x + 8y = 172
⇒ 15x + 24y = 516.....(i)
And, 120% of 5x + 110% of 8y = 199.20
⇒ 600x + 880y = 19920
⇒ 15x + 22y = 498 .....(ii)
Subtracting (ii) from (i), we get 2y = 18 or y = 9
Putting y = 9 in (i), we get: x = 20