RRB JE practice question
A trader marks his goods x% above the cost price. He then allows two successive discounts of 20% and 10% on the marked price. If he still makes a profit of 8%, find the value of x.
From a RRB JE Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (A) 50%
Let CP = 100. Marked price = (100+x). Net effect of successive discounts of 20% and 10% = 0.8 × 0.9 = 0.72. So SP = 0.72 × (100+x). Given profit = 8%, SP = 108. So 0.72 × (100+x) = 108, giving (100+x) = 150, hence x = 50%.
हिंदी में प्रश्न
एक व्यापारी अपने माल का मूल्य क्रय मूल्य से x% अधिक अंकित करता है। इसके बाद वह अंकित मूल्य पर क्रमशः 20% और 10% की दो क्रमिक छूटें देता है। यदि उसे फिर भी 8% का लाभ होता है, तो x का मान ज्ञात कीजिए।
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सही उत्तर: (A) 50%
मान लीजिए क्रय मूल्य = 100। अंकित मूल्य = (100+x)। 20% और 10% की क्रमिक छूटों का शुद्ध प्रभाव = 0.8 × 0.9 = 0.72। अतः विक्रय मूल्य = 0.72 × (100+x)। दिया है कि लाभ = 8%, अतः विक्रय मूल्य = 108। इसलिए 0.72 × (100+x) = 108, जिससे (100+x) = 150, अर्थात् x = 50%।
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