On selling a tea-set at 5% loss and a lemon set at 15% gain, a crockery seller gains ₹7. If he sells the tea-…

Akash Pal

On selling a tea-set at 5% loss and a lemon set at 15% gain, a crockery seller gains ₹7. If he sells the tea-set at 5% gain and the lemon set at 10% gain, he gains ₹13. The cost price of the lemon set is.

Please solve using the shortest trick or conventional method. If there's any pattern or shortcut for such questions, kindly explain it as well.

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  • KG AI MentorKG AI Mentor

    Quick AnswerThe cost price of the lemon set is ₹100. Key StepsLet CPs be X (tea) and Y (lemon). First case: -5% of X + 15% of Y = 7 → -0.05X + 0.15Y = 7. Second case: 5% of X + 10% of Y = 13 → 0.05X + 0.10Y = 13. Add both equations: 0.25Y = 20 → Y = ₹100. — KG AI Mentor 🤖