Mixed Labeled

 Q. Sonam’s Exam Puzzle (Algebra)

Sonam scored 5 marks more than twice what Pema scored in an exam. If their total score is 95, what did each score?

Solution:
Let Pema's marks = x
Then Sonam's marks = 2x + 5
x + 2x + 5 = 95
3x + 5 = 95 → 3x = 90 → x = 30
Sonam = 2(30) + 5 = 65

Pema: 30 marks, Sonam: 65 marks

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Q. Tashi's Farm (Profit & Loss)

Tashi bought 100 kg of potatoes at Nu. 25/kg and sold 60 kg at 30/kg, but the rest spoiled. What is his profit/loss %?

Solution:

• Cost price = 100 × 25 = Nu. 2500

• Selling price = 60 × 30 = Nu. 1800

• Loss = 2500 − 1800 = 700
  Loss % = (700 ÷ 2500) × 100 = 28%

Answer: 28% loss

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Q.Leki’s Number Riddle

The sum of two numbers is 45, and their difference is 13. What are the numbers?

Solution:
Let the numbers be x and y
x + y = 45
x − y = 13
Add: 2x = 58 → x = 29 → y = 16

Numbers: 29 and 16

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Q.Jigme’s Time and Work

Jigme can finish a project in 15 days, and Pema in 20 days. How long will they take if they work together?

Solution:
Work/day: Jigme = 1/15, Pema = 1/20
Together = 1/15 + 1/20 = (4 + 3)/60 = 7/60
Time = 60/7 ≈ 8.57 days

Answer: ~8.57 days