on selling a tea-set at 5% loss and lemon-set at 15% gain, a crockery seller gains Rs.7. if he sells the tea-set at 5% gain and the lemon-set at 10% gain Rs.13. find the actual price of tea-set and the lemon-set.

Asked by manavmansvi | 21st Jun, 2015, 04:56: PM

Expert Answer:

L e t space t h e space a c t u a l space p r i c e space o f space t e a minus s e t space b e space T space a n d space t h a t space o f space l e m o n minus s e t space b e space L I n space t h e space f i r s t space c a s e space n e t space p r o f i t space i s space R s. space 7. H e n c e comma space 15 over 100 L minus 5 over 100 T equals 7 rightwards double arrow 3 L minus T equals 140... left parenthesis 1 right parenthesis I n space t h e space s e c o n d space c a s e comma space n e t space p r o f i t space i s space R s. space 13. H e n c e comma space 5 over 100 T plus 10 over 100 L equals 13 rightwards double arrow T plus 2 L equals 260... left parenthesis 2 right parenthesis A d d i n g space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis space w e space g e t space 5 L equals 400 rightwards double arrow L equals 80 S u b s t i t u t i n g space t h e space v a l u e space o f space L space i n space left parenthesis 1 right parenthesis comma space w e space g e t space T equals 100. H e n c e comma space t h e space a c t u a l space p r i c e space o f space t e s minus s e t space a n d space l e m o n minus s e t space a r e space 100 space R s space a n d space 80 space R s space r e s p e c t i v e l y.

Answered by satyajit samal | 22nd Jun, 2015, 01:23: AM