Q-1 On sellinga T V at 5% gain and a fridge at 10% gain , a shopkeeper gains Rs - Maths - Linear Equations in Two Variables

Question

Q-1 On sellinga T V at 5% gain and a fridge at 10% gain , a
shopkeeper gains Rs 2000
But if he sells the T V at 10% gain and the fridge at 5% loss He
gains Rs 1500 on the transaction
Find the actual price of T V and fridge

Ajanta Trivedi · Accepted Answer

let the actual price of TV and fridge be Rs. x and Rs. y respectively.

% gain on TV = 5%

therefore gain on Rs. x = $x * \frac{5}{100} = R s . \frac{x}{20}$

% gain on fridge = 10%

therefore gain on Rs. y = $y * \frac{10}{100} = R s . \frac{y}{10}$

total gain = Rs. 2000

$\frac{x}{20} + \frac{y}{10} = 2000 \frac{x + 2 y}{20} = 2000 x + 2 y = 20 * 2000 x + 2 y = 40000............. (1)$

if the gain on TV is 10% and loss on fridge is 5% loss .

total gain = Rs. 1500

$x * \frac{10}{100} - y * \frac{5}{100} = 1500 \frac{x}{10} - \frac{y}{20} = 1500 \frac{2 x - y}{20} = 1500 2 x - y = 20 * 1500 = 30000 2 x - y = 30000........... (2)$

(1) +2*(2)

$x + 2 y = 40000 4 x - 2 y = 60000 5 x = 100000 x = \frac{100000}{5} = 20000$

substituting the value of x in (1):

20000+2y=40000

2y = 40000-20000

2y = 20000

y = 20000/2 = 10000

thus the actual price of TV is Rs. 20000 and the actual price of fridge is Rs. 10000.

hope this helps you.

cheers!!

Q-1 On sellinga T.V. at 5% gain and a fridge at 10% gain , a shopkeeper gains Rs 2000. But if he sells the T.V. at 10% gain and the fridge at 5% loss . He gains Rs 1500 on the transaction . Find the actual price of T.V and fridge.

Q-1 On sellinga T.V. at 5% gain and a fridge at 10% gain , a shopkeeper gains Rs 2000.

But if he sells the T.V. at 10% gain and the fridge at 5% loss . He gains Rs 1500 on the transaction .

Find the actual price of T.V and fridge.