A department store receives a shipment of 1,000 shirts, for which it pay Tk. 9,000. The store sells the shirts at a price 80% above cost for one month, after which it reduces the price of the shirts to 20% above cost. The store sells 75% of the shirts during the first month and 50% of the remaining shirts afterward. How much gross income did sales of the shirts generate? (profit & loss)

Shohan

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2025-01-04 04:42

1 Answers

Shohan

প্রশ্নে বলা হচ্ছে যে, একটি ডিপার্টমেন্ট স্টোর 9,000 টাকা ব্যয়ে 1,000 টি শার্ট গ্রহণ করল। প্রথম মাসের জন্য ডিমার্টমেন্ট স্টোরটি শার্টের খরচের উপর ৪০% লাভ এবং পরবর্তীতে শার্টের বিক্রয়মূল্য খরচের উপর 20% লাভে নির্ধারণ করল। স্টোরটি প্রথম মাসে 75% এবং অবশিষ্ট শার্টের 50% পরবর্তীতে বিক্রয় করল । এই বিক্রয়ে মোটের উপর কত লাভ হল?

The cost price of 1,000 shirt is 9,000 Tk.

∴ The cost price of 1 shirt is $\frac{9000}{1000} = 9 T k .$

Sales in 1^st month = (75% of 1,000) = 750 Shirts

∴ Selling price of 750 shirt in 1^st month $= (750 \times 9) + (750 \times 9) o f 80 %$

$= 6, 750 + \frac{750 \times 9 \times 80}{100} = 6, 750 + 5, 400 = 12, 150 T k .$

∴ Remaining shirt = 1,000-750 = 250

∴ 50% of remaining shirt after 1^st month's sale $= 250 o f 50 % = \frac{250}{2} = 125 S h i r t s$

Then selling price is $(125 \times 9) + (125 \times 9) o f 20 %$

$= (125 \times 9) + \frac{125 \times 9 \times 20}{100} = 1, 125 + 225 = 1, 350 .$

∴ Total sales = 12,150+ 1,350 = 13,500 Tk.

∴ Gross Income = 13,500 Tk.

9 views Answered 2024-12-14 13:31

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