A shopkeeper lost 7.5% by selling an article. If he had bought it at 10% less and sold it for taka 31 more he would have gained 20%. Find the cost price of the

A shopkeeper lost 7.5% by selling an article. If he had bought it at 10% less and sold it for taka 31 more he would have gained 20%. Find the cost price of the article.

A shopkeeper lost 7.5% by selling an article. If he had bought it at 10% less and sold it for taka 31 more he would have gained 20%. Find the cost price of the article. ?

Created: 1 year ago | Updated: 1 week ago | Created By:

Jannatul Ferdush

50 tk

125 tk

200 tk

300 tk

0 19

Institution: Bangladesh Bank Exam: সমন্বিত ৬ ব্যাংক ও আর্থিক প্রতিষ্ঠান - সহকারী প্রোগ্রামার - 18.03.2021 ||
Topic: Mathematics (সাধারণ গণিত) Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

The right answer is option (c) 200 taka. Let's solve this step-by-step to find the cost price of the article:

Selling Price with Loss:
- The shopkeeper lost 7.5%, so the selling price (SP) is 92.5% of the cost price (CP). We can represent this as SP = 0.925 * CP.
New Buying Price:
- If the shopkeeper bought the article at 10% less, the new buying price would be 90% of the original CP. This is New CP = 0.9 * CP.
New Selling Price with Gain:
- With the new buying price and selling for 31 taka more, the new selling price (New SP) would be 120% (20% gain) of the new CP. This translates to New SP = 1.2 * New CP = 1.2 * (0.9 * CP) = 1.08 * CP.
Relating Prices:
- The difference between the new selling price with gain and the original selling price with loss is 31 taka. We can express this as: New SP - SP = 31
Solving for CP:
- Substitute the equations from steps 1 and 3 into the difference equation: 1.08 * CP - 0.925 * CP = 31
- Simplify and solve for CP: 0.155 * CP = 31 CP = 31 / 0.155 CP ≈ 200 taka (approximately)

Therefore, the cost price of the math is approximately 200 taka. So the answer is option (c) 200 taka.

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A shopkeeper lost 7.5% by selling an article. If he had bought it at 10% less and sold it for taka 31 more he would have gained 20%. Find the cost price of the article. ?

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