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राघव दो पेंटिग को ₹ 5600 तथा ₹ 2400 में खरीदता है। वह पहली पेंटिग को \( 15 \% \) लाभ पर तथा दूसरी पेंटिग को \( 5 \% \) हानि पर बेचता है। पूरे लेन-देन पर लाभ या हानि प्रतिशत ज्ञात कीजिए।

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C.P. of first painting = Rs.5600

Gain % = 15%

∴ S.P. = \(\frac{C.P.(100 + gain\%)}{100}\)

\(=Rs. \frac{5600(100 + 15)}{100}\)

\(=Rs. 5600 \times \frac{115}{100}\)

\(=Rs. 6440\)

C.P of second painting = Rs.2400

Loss % = 5%

∴ S.P. = \(\frac{C.P.(100 + loss\%)}{100}\)

\(=Rs. \frac{2400(100 - 5)}{100}\)

\(=Rs. \frac{2400\times 95}{100}\)

\(=Rs. 2280\)

Total S.P. of two paintings = Rs. 6440 + Rs. 2280 = Rs. 8720

Total C.P. = Rs. 5600 + Rs. 2400 = Rs. 8000

∴ Total Gain = S.P. - C.P. = Rs.8720 − Rs.8000 = Rs.720

∴ Percentage of Gain = \(\frac{720}{8000} \times 100\% = 9\%\)

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