A reduction of 20% in the price of bananas enables a customer to buy 6 more bananas for ₹80. What is the reduced price of bananas per dozen (in ₹)?

32

Reduction in price = 20%

Ratio of               old   :   new

price                    5    :      4

quantity                4    :      5

(We know , Price is inversely proportional to quantity bought .)

ATQ ,

( 5 - 4 ) R = 1R

1R = 6

New quantity bought = 6 × 5 = 30 bananas

= 2.5 dozen      ( 12 banana = 1 dozen )

Price of 2.5 dozen = 80

Price per dozen = \(\frac{80}{2.5}\) = 32 Rs/dozen