amit sold a mobile at a gain of 31%. Had it been sold at Rs. 249 more then the gain have been 38%. find the cost price mobile
Answers
To find:
Cost price of the mobile phone
Step-by-step explanation:
Let the cost price of the mobile phone be Rs. x and the selling price be Rs. y
Amit sold the mobile at a gain of 31%. Then,
y - x = 31 % of x
or, y - x = 31x/100
or, 100y - 100x = 31x
or, 100y - 131x = 0 ... ... (i)
Had the mobile phone been sold at Rs. 249 more, then the gain have been 38%. Then,
(y + 249) - x = 38% of x
or, y + 249 - x =38x/100
or, 100y + 24900 - 100x = 38x
or, 100y + 24900 - 138x = 0 ... ... (ii)
From (i), we get, 100y = 131x. Substitute it in (ii), we get
131x + 24900 - 138x =0
or, 7x =24900
or, x = 24900/7
Answer:
The cost price of the mobile phone is Rs. 24900/7.
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Given : Amit sold a mobile at a gain of 31%.
Had it been sold at Rs. 249 more then the gain have been 38%.
To find: the cost price mobile
Solution:
Cost price CP = 100x Rs
31 % Gain = (31/100) 100x = 31x Rs
SP = CP + Gain
SP = 100x + 31x = 131x Rs
sold at Rs. 249 more
New SP = 131x + 249 Rs
38% Gain = (38/100)100x = 38x rs
New SP = 100x + 38x = 138x Rs
138x = 131x + 249
=> 7x = 249
=> x = 249/7
=> 100x = 24900/7
=> 100x ≈ 3,557.143
the cost price mobile ≈ 3,557.143 Rs
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