# math

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a an sold a bicycle for an amount which was greater by rs. 988 than half price he paid for it an made a profit of rs. 300 how much did he sell the bicycle for???

• math -

if he paid p for the bike,

p/2 + 988 = p + 300
p/2 = 688
p = 1376

so, he sold it for 1376/2 + 988 = 1676
1676 - 1376 = 300

• math -

let purchase price be x
selling price = (1/2)x + 988

(1/2)x + 988 - x = 300
(-1/2)x = -688
x = 1376

bought at 1376 , sold at 1676

check:
is (1/2)1376 + 988 = 1676 ? , YES!

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