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. Correct Answer 200 tk

7.5 % ক্ষতিতে দ্রব্যটির বিক্রয়মূল্য  = 100 - 7.5 = 92.5 টাকা 10% কমে দ্রব্যটির ক্রয়মূল্য = 100 - 10 = 90 টাকা আবার, 20% লাবে দ্রব্যটির বিক্রয়মূল্য  = 90 + 90 এর 20% = 90 + ( 90 × 20)/100 = 108 টাকা  ∴ বিক্রয়মূল্য বেশি হয় = 108 - 92.5 = 15.5 টাকা অর্থাৎ বিক্রয়মূল্য 15.5 টাকা বেশি হয় ক্রয়মূল্য = 100 টাকা ∴বিক্রয়মূল্য 31 টাকা বেশি হয় ক্রয়মূল্য
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