# math

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maria bought two fans for rs. 3605. she sold one at the profit of 15% and the other at the loss of 9%. if maria got same amount for each fan ,find the cost price of each fan ??

• math -

If the two fans cost a and b, then

a+b = 3605
1.15a = 0.91b
a = 1592.50
b = 2012.5

check:
1592.50 + 2012.50 = 3605.00
she sold a for 15% profit, so 1.15*1592.50 = 1831.375
she sold b for a 9% loss, so .91*2012.50 = 1831.375

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