Verified by Ajay Kumar
By selling a toy at a certain price, a merchant gains 10%. If he increases the price by Rs. 4, his gain becomes 12.5%. Find the cost price of the toy.
₹180
₹140
₹160
₹120
Answer: C
Solution: Let the cost price be x. The original selling price is \(1.10x\), and the increased selling price is \(1.125x\). Their difference is ₹4, so \(1.125x-1.10x=4\Rightarrow0.025x=4\Rightarrow x=160\). The cost price is ₹160. Trick: The increase in profit is 2.5% of the cost price; equate 2.5% of the cost price to ₹4.
एक खिलौने को एक निश्चित मूल्य पर बेचने से व्यापारी को 10% लाभ होता है। यदि वह मूल्य ₹4 बढ़ा देता है, तो उसका लाभ 12.5% हो जाता है। खिलौने का क्रय मूल्य ज्ञात कीजिए।
₹180
₹140
₹160
₹120
उत्तर: C
हल: क्रय मूल्य x मानें। प्रारंभिक विक्रय मूल्य \(1.10x\) और बढ़ा हुआ विक्रय मूल्य \(1.125x\) होगा। इनका अंतर ₹4 है, इसलिए \(1.125x-1.10x=4\Rightarrow0.025x=4\Rightarrow x=160\)। क्रय मूल्य ₹160 है। ट्रिक: लाभ में वृद्धि क्रय मूल्य का 2.5% है; क्रय मूल्य के 2.5% को ₹4 के बराबर रखें।
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