1.a table passes successively through the hands of three dealers A, B ,C each of whom in selling makes profit of 10%of his cost price.what did the first dealer payfor the table if the third dealer C sells it for RS 666.5 ?

2. a man sells two tables at the same price.on one he makes aprofit of 10% & the other he suffers a loss of 10% find his loss or gain% on his whole transaction?

Asked by susantadebnath00 | 15th May, 2014, 09:16: AM

Expert Answer:

Let 'x' be the C.P of A.
If he sells at the profit of 10%, then the S.P. of A is x plus x over 100 cross times 10 equals fraction numerator 11 x over denominator 10 end fraction
Thus, fraction numerator 11 x over denominator 10 end fraction is the C.P of B,
If he sells at the profit of 10%, then the S.P. of B is fraction numerator 11 x over denominator 10 end fraction plus fraction numerator 11 x over denominator 10 end fraction cross times 10 over 100 equals fraction numerator 121 x over denominator 100 end fraction
Thus, fraction numerator 121 x over denominator 100 end fraction is the C.P of C.
If he sells at the profit of 10%, then the S.P. of C is fraction numerator 121 x over denominator 100 end fraction plus fraction numerator 121 x over denominator 100 end fraction cross times 10 over 100 equals fraction numerator 1331 x over denominator 1000 end fraction
Given that the C sells the table for Rs.666.5
That is, fraction numerator 1331 x over denominator 1000 end fraction equals 666.5 rightwards double arrow 1331 x equals 666500 rightwards double arrow x equals 666500 over 1331 rightwards double arrow x asymptotically equal to R s.500.75
Thus, the C.P of A is Rs.500.75
2.
Let 'x' be the C.P of one table and 'y be the C.P of another table.
Then the S.P of one table is fraction numerator 11 x over denominator 10 end fraction space open parentheses 10 % space p r o f i t close parentheses and the S.P of another table is fraction numerator 9 y over denominator 10 end fraction open parentheses 10 % space L o s s close parentheses
Given that SP of two tables are same.
Thus,
fraction numerator 11 x over denominator 10 end fraction equals fraction numerator 9 y over denominator 10 end fraction rightwards double arrow 11 x equals 9 y rightwards double arrow y equals fraction numerator 11 x over denominator 9 end fraction
Thus the loss or gain percentage in his whole transaction is given by:

Answered by Vimala Ramamurthy | 15th May, 2014, 12:33: PM