Multiple choice

In a shop, articles are usually sold at 40% above the cost price. During a sale, the shopkeeper offers a discount of 10% off of the usual selling price. If he manages to sell 36 articles for Rs. 6804, then his cost price per article. (In Rs.) is- एक दुकान में, वस्तुएँ प्रायः क्रय मूल्य से 40% अधिक मूल्य पर बेची जाती हैं। एक बिक्री में, दुकानदार 10% की छूट सामान्य विक्रय मूल्य पर देता है। यदि वह 36 वस्तुएं 6804 रू. की बेचता है तो उसके लिए प्रति वस्तु क्रय मूल्य है- (रू. में)

  1. 210

  2. 150

  3. 180

  4. 125
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = x. Usual SP = 1.4x. Sale price = 0.9 × 1.4x = 1.26x. For 36 articles: 36 × 1.26x = 6804, so x = 6804/(36×1.26) = 6804/45.36 = 150. Thus cost price per article is Rs. 150, which is option B. Note: Selling at 40% above CP means SP=1.4×CP, then 10% discount means final price = 0.9×1.4×CP = 1.26×CP.

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