Due to a 25% reduction in the price of oranges, a customer can buy 4 more oranges for Rs 16. Find the original price per orange.

Introduction:
Again, a fixed budget with a price cut increases quantity. We form equations using unit prices before and after a 25% reduction and equate the difference in quantities to 4.

Given Data / Assumptions:

• Budget = Rs 16
• Original price = p rupees/orange
• New price after 25% cut = 0.75p
• Increase in count = 4 oranges

Concept / Approach:
Original count = 16/p; new count = 16/(0.75p) = 64/(3p). The difference equals 4; solve for p.

Step-by-Step Solution:
64/(3p) − 16/p = 4(64 − 48)/(3p) = 4 ⇒ 16/(3p) = 4 ⇒ 16 = 12p ⇒ p = 4/3Original price = Rs 1.333... = Re. 1.33 (rounded)

Verification / Alternative check:
At p = 4/3, old count = 12; new price = 1; new count = 16; increase = 4, consistent.

Why Other Options Are Wrong:
1.0/1.5/1.6 do not satisfy the exact difference of 4 at Rs 16.

Common Pitfalls:
Using 25% of Rs 16 (budget) incorrectly; rounding too early.

Final Answer:
Re. 1.33