एक विक्रेता 7 नींबू ₹1 में खरीदता है। 40% लाभ प्राप्त करने के लिए उसे ₹1 में कितने नींबू बेचने होंगे?

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  1. 6
  2. 9
  3. 5
  4. 7

Answer (Detailed Solution Below)

Option 3 : 5
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दिया गया है:

7 नींबू का क्रय मूल्य = ₹1

लाभ प्रतिशत = 40%

प्रयुक्त सूत्र:

1 नींबू का क्रय मूल्य (C.P.) = ₹1 ÷ 7

लाभ प्रतिशत के लिए विक्रय मूल्य (S.P.) = C.P. × (1 + लाभ प्रतिशत)

गणनाएँ:

1 नींबू का क्रय मूल्य = \(\dfrac{1}{7}\)

40% लाभ प्राप्त करने के लिए, 1 नींबू का विक्रय मूल्य = \(\dfrac{1}{7} \times (1 + \dfrac{40}{100})\)

⇒ 1 नींबू का विक्रय मूल्य = \(\dfrac{1}{7} \times 1.4 = \dfrac{1.4}{7}\)

⇒ 1 नींबू का विक्रय मूल्य = ₹0.20

यह ज्ञात करने के लिए कि ₹1 में कितने नींबू बेचने होंगे, हम ₹1 को 1 नींबू के विक्रय मूल्य से विभाजित करते हैं:

\(\dfrac{1}{0.20} = 5\)

∴ 40% लाभ प्राप्त करने के लिए विक्रेता को ₹1 में 5 नींबू बेचने होंगे।

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