Concept of “Percentage”-10

Question: A reduction of 25% in the price of tea enables a person to buy 5 kg more for Rs 120. Find the original price of tea per kg [Ans. (d) 8 Rs/kg]                                 

(a) 6 Rs/kg (b) 4 Rs/kg (c) 12 Rs/kg (d) 8 Rs/kg (e) None of these         

Solution:

Detailed Explanation:

Reduction in the price = 25% of Rs 120 = Rs 30

5 kg ≡ Rs 30 implies that 1 kg ≡ Rs 6

So, the reduced price = 6 Rs/kg; which is 75% of the original price [as the reduction is 25%]

Therefore, original price = 100% ≡ (6 + 2) = 8 Rs/kg Ans.

[Since, 1/3^rd of 75% is 25%, so 1/3^rd of 6 = 2 and 100% = 75% + 25% ≡ 6 + 2 = 8]