Question

rohit sold a headphone to sumit at a gain of 10% and sumit sold it to mohit at a loss of 10% if mohit paid 1980 for it find the price paid by rohit.

Answer 1

money paid by Mohit= ₹1980
Sumit sold it to Mohit at a loss = 10%
sumit's cost price(cp)= 1980×10/100=198
cp= 1980+198=₹2178
now, Rohit sold it to Sumit at ₹2178
cp for Rohit= 2178×10/100
cp for Rohit =₹217.8
cp for Rohit = 2178+217.8=₹2395.8 ans.

Answer 2

Rohit gained 10% by Sumit

Sumit lost 10% by Mohit

Price which Sumit bought = $\frac{100}{90}$ x 1980

                                           = 2200

Therefore price which Rohit bought = $\frac{100}{110}$ x 2200

                                                            = 2000