document.write( "Question 881017: 2kg of tea and 3kg of sugar together costs Rs.39. the price of tea has risen by 25% and that of sugar by 20% hence the same quantities of tea and sugar now cost Rs.48.30. find the original price of tea per kg? \n" ); document.write( "
Algebra.Com's Answer #531867 by dkppathak(439)![]() ![]() You can put this solution on YOUR website! 2kg of tea and 3kg of sugar together costs Rs.39. the price of tea has risen by 25% and that of sugar by 20% hence the same quantities of tea and sugar now cost Rs.48.30. find the original price of tea per kg? \n" ); document.write( "let cost of 1 kg tea is Rs x cost of sugar is Rs y \n" ); document.write( "as per given condition 1 \n" ); document.write( "2X +3Y =39 (1) \n" ); document.write( "as per condition 2 price increase 25% and 20% respectively \n" ); document.write( "1.25(2x) + 1.2(3y) = 48.30 \n" ); document.write( "2.50x + 3.6 Y =48.30 multiply by 10 for simplification of equation \n" ); document.write( "25x + 36Y = 483 (2) multiply (1) by 25 and (2) by 2 for solution \n" ); document.write( "50x +75Y = 975 (3) \n" ); document.write( "50x + 72 Y = 966 (4) subtracting \n" ); document.write( "3y=9 \n" ); document.write( "Y= 3 \n" ); document.write( "substituting value of Y in (1) \n" ); document.write( "2x +3y =39 \n" ); document.write( "2x +9=39 \n" ); document.write( "2x=30 \n" ); document.write( "X=30/2=15 \n" ); document.write( "Answer \n" ); document.write( "cost of 1 kg tea is Rs 15 \n" ); document.write( "cost of 1 kg sugar is Rs 3 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |