Question

A man sold 2 Tv set for rs. 3420 on first he gained 25% and on second he suffered a loss of 10%. Find overall profit or loss if cost price of second Tv is same as selling price of first TV

Answer 1

let a and b are two Tv set.

according to question ,
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gain on first TV :
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a = 25 % ( + ve means gain )

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loss on second Tv :
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b = - 10 % ( - ve means loss )

% change = a + b + ( ab / 100 )

= 25 + ( -10 ) + (25) (-10 )/ 100

= 25 - 10 - ( 250 ) / 100

= 25 - 10 - 2.5

= 25 - 12.5

=12.5 ( + ve means profit )

therefore , overall profit = 12.5%
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Answer 2

Let the cost price of the second TV be x

⇒ The selling price of the first TV is x

Find the selling price of the second TV:

10% Loss = 10% of x = 0.1x

Selling Price = x – 0.1x = 0.9x

Solve x:

0.9x + x = 3420

1.9 x = 3420  

x = 3420 ÷ 1.9

x = Rs 1800

Find the cost price of the first TV:

Gain = 25%

Selling Price = 100 + 25 = 125%

Selling Price = x

125% = x

1% = x/125

100% = x/125 x 100 = 0.8x

Find the total cost Price:

Cost Price of first TV = 0.8x = 0.8 (1800) = Rs 1440

Cost Price of the second TV = x = Rs 1800

Total cost price = 1440 + 1800 = Rs 3240

Find profit/loss:

Selling Price = Rs 3420

Cost Price = Rs 3240

Profit = 3420 - 3240 = Rs 180

Profit percentage = 180/3240 x 100 = 5.56%

Answer: 5.56%