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A farmer bought a cow and calf together for Rs 14,000. After sometime , he sold cow at profit of 20% and calf at profit of 13%. On whole he got profit of 17%. find cost price of cow and calf

Asked by Devesh 4th December 2014, 10:00 AM
Answered by Expert
Answer:
 L e t space x space b e space t h e space cos t space p r i c e space o f space c o w space a n d space y space b e space t h e space cos t space p r i c e space o f space c a l f. space space A space f a r m e r space b o u g h t space a space c o w space a n d space c a l f space t o g e t h e r space f o r space R s space 14 comma 000. space space T h e r e f o r e comma space space x space plus space y space space equals space 14 comma 000....................... left parenthesis i right parenthesis space space space  space F a r m e r space s o l d space c o w space a t space p r o f i t space o f space 20 % space S e l l i n g space p r i c e space o f space c o w space equals space C o s t space p r i c e space o f space c o w space plus space p r o f i t space S e l l i n g space p r i c e space o f space c o w space equals space x plus space 20 over 100 x  F a r m e r space s o l d space c a l f space a t space p r o f i t space o f space 13 % space S e l l i n g space p r i c e space o f space c a l f space space equals space C o s t space p r i c e space o f space c a l f space space plus space p r o f i t space S e l l i n g space p r i c e space space o f space c a l f space equals space y plus space 13 over 100 y  O n space w h o l e space f a r m e r space g o t space p r o f i t space o f space 17 % S e l l i n g space p r i c e space o f space b o t h space c o w space a n d space c a l f space t o g e t h e r space t o g e t h e r space equals C o s t space p r i c e space o f space b o t h space c o w space a n d space c a l f space t o g e t h e r space t o g e t h e r space plus space p r o f i t rightwards double arrow S e l l i n g space p r i c e space o f space c o w space plus S e l l i n g space p r i c e space space o f space c a l f space equals space C o s t space p r i c e space o f space b o t h space c o w space a n d space c a l f space t o g e t h e r space t o g e t h e r space plus space p r o f i t rightwards double arrow open parentheses x plus space 20 over 100 x close parentheses plus space open parentheses y plus space 13 over 100 y close parentheses space equals open parentheses space 14 comma 000 space plus space space 17 over 100 14000 close parentheses  rightwards double arrow 1.2 x plus 1.13 y space equals 16380 space.......... left parenthesis i i right parenthesis  M u l t i p l y space e q u a t i o n space left parenthesis i right parenthesis space b y space 1.2 space a n d space s u b t r a c t space i t space f r o m space e q u a t i o n space left parenthesis i i right parenthesis  space bottom enclose space space space 1.2 x space plus space 1.13 y space equals 16380 minus 1.2 x space space minus space 1.2 y space space equals space 16800 end enclose minus 0.07 y space equals space minus 420 rightwards double arrow space y space equals space 6000   S u b s t i t u t e space v a l u e space o f space y equals 6000 space i n space e q u a t i o n space left parenthesis i right parenthesis space w e space g e t  x space plus 6000 space space equals space 14 comma 000 rightwards double arrow x equals 8000  S o space f i n d space cos t space p r i c e space o f space c o w space i s space R S space 8000 space a n d space c a l f space i s space R s space 6000.
Answered by Expert 5th December 2014, 10:24 AM
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