Linked price ratio with difference: The prices of a scooter and a television are in the ratio 8 : 7. A scooter costs ₹ 2000 more than a television. Find the price of the television.

Introduction / Context:When two prices are in a ratio and their difference is given, you can treat each price as a multiple of a common unit value. The difference equals the difference of ratio parts multiplied by that unit value.

Given Data / Assumptions:

• Scooter : Television = 8 : 7.
• Scooter − Television = ₹ 2000.

Concept / Approach:Let Scooter = 8k and Television = 7k. Then (8k − 7k) = k = 2000. Hence Television = 7k = 7 × 2000.

Step-by-Step Solution:k = ₹ 2000.Television price = 7k = ₹ 14,000.

Verification / Alternative check:Compute scooter price: 8k = ₹ 16,000; difference is ₹ 2000 and ratio 16000 : 14000 reduces to 8 : 7, confirming the setup.

Why Other Options Are Wrong:

• ₹ 10000 and ₹ 18000 don’t maintain an 8 : 7 ratio with a ₹ 2000 gap.
• ₹ 28000 doubles the correct television price.

Common Pitfalls:

• Forgetting that the difference corresponds to exactly one ratio part (8 − 7 = 1).

Final Answer:₹ 14000