Question
Arun bought an old computer and spent ₹110 on its
repairs. He then sold it to Bhola at a profit of 20%. Bhola sold it to Chandan at a loss of 10%. Chandan finally sold it for ₹1,188 at a profit of 10%. How much did Arun buy the computer for?Solution
Let's assume that Arun bought an old computer at ₹'y'. Arun bought an old computer and spent ₹110 on its repairs. Price of computer for Arun after repairing = ₹(y+110) He then sold it to Bhola at a profit of 20%. Selling price of computer for Arun = Cost price of computer for Bhola = ₹(y+110) of (100+20)% = 1.2(y+110) Bhola sold it to Chandan at a loss of 10%. Selling price of computer for Bhola = Cost price of computer for Chandan = 1.2(y+110) of (100-10)% = 1.2(y+110) of 90% = 1.08(y+110) Chandan finally sold it for ₹1,188 at a profit of 10%. Selling of computer for Chandan = 1.08(y+110) of (100+10)% = ₹1,188 1.08(y+110) of 110% = ₹1,188 1.188(y+110) = ₹1,188 (y+110) = 1000 y = 1000-110 y = 890 Arun bought the computer for = y = ₹890
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