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Q.

An article is sold for Rs.250 at a gain of 25% . Find its cost price.


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a

200

b

300

c

400

d

500 

answer is A.

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Detailed Solution

Concept-
Both the selling price and the gain % numbers are provided. Assume that x is the cost price. When the selling price and gain percentage are known, we can apply the following formula to determine the value of the cost price:
https://lh5.googleusercontent.com/7GllxIEhWLuFi5eVyb4WgVYsyLRop4cSgdSBWn-R1IBJ_uZukxXNQRk4VHtjj5VudYX7BYfrkAZT4W3Wj9ps1UsyNqFKcQ1MKA4EzFr2CTwBku7gACE6FH5sgV2U95Dz0AeHOKmErncr-lkICIPdmwGiven that an article's selling price is 250 rupees, 25 % gain
We must determine the article's cost price (C.P.) . Let x be the cost price.
The formula for selling price when gain % and C.P. are provided is as follows:
https://lh5.googleusercontent.com/Xoa8hCsIBztg7VyupGX_MrefFD45zTZdFbHWOsuK9MdFcqflXu19KwQjYeOL8p0Tv7Uaj83M1MKpc_pjBeS3_DButXdlLLgJA9ZKHqz_yFMNL_Nz7T1U5u5WUvrg_Sfeyvlr5IA-NCywVXUsWNGQDQWe now know that S.P. equals 250 Rs. After adding the value of S.P. to the equation above, we obtain,
https://lh6.googleusercontent.com/PfFfRMd9C5VzpzteLBwrwpBUlCKkM-8zWGBcEBqj2bD5ofWz68BesjoLiwC9PXR3HLd5i7IDY5zs47xRbXdzh4H0rrbssj1QInynZ_griwpMZUlzHlGe6VkODMfn3Fu5JQcF0Ez7u7CXPBNvOWHfygHence, the correct answer is option 1) 200
 
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An article is sold for Rs.250 at a gain of 25% . Find its cost price.