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Q.

Ramji sold an article at a loss of 8 percent. Had she bought it at 10% less and sold for Rs. 72 more; she would have gained 20%. Find the cost price of the article.


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a

400

b

450

c

500

d

550

answer is B.

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Detailed Solution

Concept- We will use the formulae of Selling Price and Cost Price.
Case 1:
Let, the cost price be Rs. 100
Given that, loss https://lh3.googleusercontent.com/lbM2Adq0j4VaLorvbUbqwh4hotZ2FY1qbQVVK7NhgMpxvua3tk_z_IPf6XzV0zzx3wd9zuIN8CObpRm42TR7s2RCxe1XCcpXc7KiiD7UeylKKKeuDXpKxM53ZWlnZ9--8v2FH8YaLgRFQbYtLKoDxwQUsing selling price formula,
https://lh4.googleusercontent.com/sZxrPfL0HJPaKh93oI2YgUjB9l3Pm8IyerKyIOvjnZvzH2XnQqTVBpCnSyC0zQmg75ACs1TzPUB_O7Y-Sd6F4oa3qLm65gasrQ3ASYV3WRLHjumtJsH6-k0eDC8HHCcBExZkb58IQqp6iN7GA6X3WF0https://lh4.googleusercontent.com/2b49i8bzC8pZu1-euTdqVw3bUGUSHjnb6jQp9VE_TRHih2k6XZUAOt-cFoCs47yxvSblenNZ8Kb4yTNSNVaD27suPC-DBcwGXuNoRUhq-fITC77zGUfqMxUzJQ_LMvXFSRnHGZExHNzDQ-jEBRVeqmchttps://lh5.googleusercontent.com/xQpcBTngcdmsGE9cI41UCwyBVFtNgfLPZgVCoKzu1A3QwZ4M5yGnm8IKH2oISAbIAiAuNTvsk7SJC3BJ1dGrFpVYPVKuiRzNJuOCQji3Htci8XCeD2cQqmHYmyFCE8yLGU2LIagpMrz52CLUqRQymjQCase 2:
Now, she bought it at https://lh6.googleusercontent.com/ayoVAJ7qVLLG5y09wxkWtnLHw46hIQ8JzheOCmxaLxsL0B0NSVZX31TaMaRoxNOruWa36wOmwvRY11dE3T-Otlm3tipU7g_qKAbCsE2wEbdbX0XRztp0Ph2vBw3oujBTLXaZH_ff3K9-arTFmSnk8w0 less
Therefore, https://lh5.googleusercontent.com/36VAfo8opu2vmBLNU_FbRWsepyZShhPW3s5FRSfUctexCWON7jA65k5I0vowxHoI_a33B-5K8ferK0fdDbSd3J8OsxvahxaOdFy6Jj_OucHl4VCyDcebPyIt9QadsN7YP6UTp-DZ6E-kQw3CJMRHZjIhttps://lh3.googleusercontent.com/vPwq1LxSv5yaUvu2iC91Jb0B7oVQx30vDjsrCUgPI3mEnFHRu-sbRJMimovZFKY2iXaJIv7tyFrcIUnjhoMeuG9gTnqe8BT33LEqIn9SC_MeXHLWQutUbjg6E5BIKpuKacZQcMrMYy72Yppib0NBsB0After selling the product she gain, https://lh3.googleusercontent.com/Ksmvu7pr22e3TD3JpMh1WRGV5L6VL_OSUHJJlSUiNul3I8nYI8MbXczL-J-d_pAfdrkl68N8VD-qOalhF8L-8t5ShMejyQ0hxbiwI7wX-8UeruSuwrqbewMx_kO9zMbursXWGvxpqJB--LiUbPQsUTsSo, https://lh3.googleusercontent.com/xyxh1k8CCslGA7Jb0BuZJc79fXjUgmwf_u0dk_-YXxs-eWPiAAxAHya9VnfGHjB0qFA6CUrk9eFLTSO3yRdjaKuucs8o2uODH7zrArzCDq-59lgK0y6djlsPyAn8m2107ncAgtnLHArnhN2_7RHUju4https://lh3.googleusercontent.com/HZy0Y9MR_D3b3pDWc6po8FPJEuId6OjHYbZu3NabFOwEcT9wFdmRk7LmOL6apONqTC8cxbZmkPdHcGg_if9skWvUhjOrkbWzXJoIAJkA7lrAqPnEN-6lzXOQ-w1Q5IoCWoeg6pe4_H6LnpK3a4-Xudohttps://lh3.googleusercontent.com/SHyyK9Vd4qK1ZC9QXqFTVBjwHhpl-LzjH0qAeOn3l_JPL10Jx2X9Yf9y6gBs2HkPkr79JxFqJoWp_XBQ6Tjmzr1CvnrgdLi1IKoGUvrU3Ht4q02SudFLHOh0peU0YlsNivaQ1RPD8XcsnD3w61YnzMgThe Difference between S.P. of the case 2 and case 1 is https://lh5.googleusercontent.com/LXWBoPnLurS-mzunVXFzv17VNk9rw3crQYJhAR2a3XQ7wQzDlq7V7RqWr9yLMtFDsuXu14h1VkMu2qXyNyLVg8EYC6Vsk2Db7U4OE7lyy2hRwHOJM9sfVUfEWgNfdmXJBu8ANTcg25sIRt-KLfqYKX4But according to the question, it should be https://lh4.googleusercontent.com/Pow7NV3iQYVEXg5VFPcDuXeVPpZBZUjHYos4zJH8rrRgo7mmGdm7UNweUCgPBAWA5Gqgyjuog5QayrvaFzqjnOQ0m-WUXAfl760XyerPr0DCXvaDL5FsnoXoznmaogwVKO5IWJ6CLgtCdU2pIxQp6aENow, let the C.P. be https://lh3.googleusercontent.com/aaqKiRqa02DDBQbKep8BhLM1HpbGMydW-m8YAzBrLeCb6N-28tf7IUotrRGBTu6taLvp6lwk3bPMoZT4xyciusLm_pTuHNsY0yIhkhqY1jTAoT8ic3BNkQlYSUw-pRv5ulD44iXjoymdZgou6TD7JfA for difference https://lh6.googleusercontent.com/GULnS0pGgyyTcF7FZHiTICFmP2506Wx5sDxTtWpaNNAPfgmPwULIfA7HHdKEhQNDNca5XbqYdrx31fv8F42gHVWP256vYbbPNfUvffsjGzzZPSvxbhClx_CXgmP18mSIWF9K1Xmuvar0o1oW8KEGXIY and for C.P. https://lh4.googleusercontent.com/al1uwIIFg531OehxcnlV1DIdMd8qMEAa_a8xLzKxexR2ot8FU7GU0CY_m2Xe2PVAUCs3pK5b4W7b7FOAbHPdOOpJbLaHnrIPGEs4KegroBRPEpkc8eLoacR4jS4XRyjjXU6U6Hb7cOnyJTEVPBSvUvQ, difference is https://lh4.googleusercontent.com/VduEctFvs-GaFOb-TUbOV_iXj_F5Y1zx9Hi-VZURd70oq2J-CqmEbU1kYdOH4OnQfmNR8nc2MuORFJ_AO6_YgH-pFTsqPa8QDBqjxQtc7LdsAGw4DTTv993292-U9yZ20feOb-vzghtHcWLp2lL1ARMSo, https://lh4.googleusercontent.com/lkf9zdZ2y5LOY8MoQeKfl3S87kWhMcGdbX8z66sNzRDBaHlaQ5K2LfjzF1TvnXfU50l44GyAA8QHO77Y3eG5sSQKZV8U9MRwpc3EKvKqiN8VnhsX3q9Rfxo7dhs5AsreGqN89mdRZuLYWBU-U2QTPx8https://lh3.googleusercontent.com/XinUMifXA_TXHv0EjCEvSF8eu6bXn_VBa2pibOIKLn8BrgjL5DwDf1DiVSliZLnzvRikGnBIU8uCMoq_nRKF-EX9h-VUM3cVlsgkon1dlCRBfFZhipIk5RC6gSCtBf6oLh_3jpomr76OSU1VeRuyDfoThe Cost price of the article is https://lh3.googleusercontent.com/mfSav3T35dtsaXmIq3iZlLLKgYlwi_3Zydin9Zr2gvBfkgfDVWNgGiJW0GbqatddWwX_NpnNRm0jumRPeNXeZO44DvLNBrSGwq7wUNFtOMVbkYMGoT_gN-wqWy5n6o7VoAMs8cc6zBm2vHEzdc88Rmc.
Hence, the correct answer is option 2) 450
 
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