Question

rahul sold a watch to sohan at a gain of 10% and sohan sold it to mohan at a loss of 10% if mohan paid rs 990 for it find the price paid by rahul

Answer 1

Let the cost of watch which Rahul paid =x Rs
Rahul sold it at 10% profit =11x/10 Rs
Sohan sold it at 10% loss= 11x*9/10=99x/100
Mohan paid Rs 990
ATQ      99x/100=990
      ⇒    x=1000
Rahul paid Rs 1000

Answer 2

Given :   rahul sold a watch to sohan at a gain of 10% and sohan sold it to mohan at a loss of 10%,  mohan paid rs 990

To find : price paid by rahul

Solution:

Let say Rahul paid for watch  = C    Rs

Cost price for Rahul = C   Rs

10 % Gain when selling to Sohan = (10/100)C = 0.1C  Rs

Selling price to Sohan  = C + 0.1C = 1.1C    Rs

Cost price for sohan = 1.1C  Rs

Sohan sold to mohan at a loss of 10%

loss = (10/100)1.1C =  0.11C  Rs

Selling price to Mohan  = 1.1C - 0.11C  = 0.99C   Rs

Mohan paid = Rs 990

=> 0.99C = 990

=> C = 1000

price paid by rahul = Rs 1000

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