Shortcut Trick
Total cost of 3 pens = 3 × ₹12 = ₹36.
Remaining amount for 2 notebooks = ₹76 − ₹36 = ₹40.
Cost of 1 notebook = ₹40 ÷ 2 = ₹20.
∴ The correct answer is ₹20.
Alternate Method
Given:
Number of pens = 3
Cost of one pen = ₹12
Number of notebooks = 2
Total bill amount = ₹76
Formula Used:
Total Cost = (Number of pens × Price per pen) + (Number of notebooks × Price per notebook)
Calculations:
⇒ Cost of 3 pens = 3 × 12 = ₹36
⇒ Let the cost of one notebook be ₹x
⇒ 36 + 2x = 76
⇒ 2x = 76 − 36
⇒ 2x = 40
⇒ x = 40 ÷ 2
⇒ x = ₹20
∴ The correct answer is ₹20.
Additional Information
Linear Equations
Problems involving fixed prices and quantities are solved using linear equations in the form ax + by = Total, where x and y are the unit prices.
Unitary Method
This method involves finding the value of a single unit (unit rate) to find the value of any number of units.
Verification Rule
Always check the result by substituting the values back: (3 × 12) + (2 × 20) = 36 + 40 = 76, which confirms the answer is correct.