By a reduction of ₹1 per kg in the price of sugar, Mohan can buy one kg sugar more for ₹56. Find the original price of sugar per kg?

Asked by Suyash Sinha | 17th Nov, 2014, 10:13: PM

Expert Answer:

L e t space x space b e space t h e space o r i g i n a l space p r i c e space o f space t h e space s u g a r space p e r space k g. A m o u n t space t h a t space M o h a n space s p e n t equals R s.56 Q u a n t i t y space o f space s u g a r space h e space b o u g h t equals 56 over x N e w space p r i c e equals x minus 1 Q u a n t i t y space o f space s u g a r space w h e n space t h e space p r i c e space i s space r e d u c e d space b y space o n e space r u p e e equals fraction numerator 56 over denominator x minus 1 end fraction G i v e n space t h a t space M o h a n space c a n space b u y space o n e space K g space s u g a r space m o r e space w i t h space t h e space r e d u c e d space p r i c e. T h e r e f r e comma space w e space h a v e comma fraction numerator 56 over denominator x minus 1 end fraction equals 56 over x plus 1 rightwards double arrow fraction numerator 56 over denominator x minus 1 end fraction equals 56 over x plus 1 rightwards double arrow fraction numerator 56 over denominator x minus 1 end fraction equals fraction numerator 56 plus x over denominator x end fraction rightwards double arrow 56 x equals open parentheses 56 plus x close parentheses open parentheses x minus 1 close parentheses rightwards double arrow 56 x equals 56 x minus 56 plus x squared minus x rightwards double arrow x squared minus x minus 56 equals 0 rightwards double arrow x squared minus 8 x plus 7 x minus 56 equals 0 rightwards double arrow x open parentheses x minus 8 close parentheses plus 7 open parentheses x minus 8 close parentheses equals 0 rightwards double arrow open parentheses x minus 8 close parentheses open parentheses x plus 7 close parentheses equals 0 rightwards double arrow x space equals 8 space o r space x equals minus 7 P r i c e space c a n n o t space b e space n e g a t i v e. space T h u s comma space o r i g i n a l space p r i c e space o f space s u g a r space p e r space k g space i s space x equals R s.8

Answered by Vimala Ramamurthy | 18th Nov, 2014, 07:59: AM

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