On selling a tv at 5% gain and a fridge 10% gain, a shopkeeper gains $2000. B u t i f h e s e l l s t h e a t v a t 10$ 1500 on the transaction. Find the actual price of tv and fridge.

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Solution

To solve these questions, you can form simultaneous equations:

First let price of t.v be x and that of the fridge be y

5% gain on chair= 5/100x= 0.05x

10%gain on fridge= 10/100y =0.1y

Therefore 0.05x + 0.1 y = 2000(total profit). .....(1)

(hence 5x+10y=200000)

10%gain on t.v = 10/100x =0.1x

5%loss on fridge= -5/100y =-0.05y

Therefore 0.1x - 0.05y = 1500......our second equation

(hence, 5y= 10x-150000...y = (10x-150000)/5....y=2x-30000

solve by substitution: y= 2x-30000

5x+10y=200000

5x + 10(2x-30000)=200000

5x + 20x -300000= 200000

25x = 500000

x= 20000

y= 2x-30000

=2(20000)-30000 =40000-30000

=10000

Therefore the price of the tv = Rs. 20,000

price of the fridge= Rs. 10,000

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