Multiple choice

A man buys two chandelier for Rs.1800. By selling lower priced at 4/5 of its cost price and the other at 5/4 of its cost price he makes a profit of Rs.360 on the whole transaction. Find the cost of the lower priced chandelier. एक आदमी ने 1800 रुपये में दो झूमर खरीदे । कम मूल्य वाले को इसकी लागत कीमत के 4/5 पर बेचकर और दूसरी को लागत कीमत के 5/4 पर बेचकर वह पूरे लेनदेन पर 360 रुपये का लाभ कमाता है। कम मूल्य वाले झूमर की कीमत ज्ञात कीजिये ।

  1. Rs.160

  2. Rs.200

  3. Rs.220

  4. Rs.230
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B Correct answer
Explanation

Let the lower priced chandelier cost x and higher priced cost y. Then x + y = 1800. Selling lower at 4/5 gives revenue 0.8x (20% loss), selling higher at 5/4 gives revenue 1.25y (25% profit). Total revenue = 0.8x + 1.25y = 1800 + 360 = 2160. Substituting y = 1800 - x: 0.8x + 1.25(1800 - x) = 2160. Solving: 0.8x + 2250 - 1.25x = 2160, so -0.45x = -90, giving x = 200.

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