Question

16. A shopkeeper sold two electronic gadgets for 3 44000 each. The shopkeeper made a loss of 12% on one and a profit of 10% on the other. Find his overall gain or loss. ​

Answer 1

Answer:Let us take the vlaue of first electroic gadgets as x

4400/x = 88/100 (Selling price = orginal price 100% - 12% loss)

x = 4400 x 100/88

= 440000/88 = 5000

So the price of first electronic gadgets is Rs. 5000

Let us take the vlaue of second electronic gadget as y

4400/x = 110/100 (Selling price = orginal price 100% and 10% profit)

x = 4400 x 100/110

= 440000/110 = 4000

So the price of second electronic gadget is Rs. 4000

Cost of two electronic gadgets = 4000 + 4000 = 8000

Selling price = 4400 + 4400 =8800

He made profit by 8800 - 8000 = Rs. 800

in % = 800 x 100 /8000 = 10 %

Step-by-step explanation:

Answer 2

Given,

A shopkeeper sold two electronic gadgets for $344000$ each.

The shopkeeper made a loss of $12$% on one and a profit of $10$% on the other

We have to find his overall gain or loss

First we have to find the cost price of both electronic gadgets

Case1: Loss of $12$%

Here, selling price $=344000$

Loss $=12$%

Let cost price be $x$

Formula,

Loss% $= \frac{cost price-selling price}{cost price}\times100$

$12=\frac{x-344000}{x}\times100$

$12x=100x-34400000$

$100x-12x=34400000$

$88x=34400000$

$x=\frac{34400000}{88}$

$x= 390909.091$

Case2: profit of $10$%

Let cost price be $y$

Formula,

Profit% $=\frac{selling price-cost price}{cost price}\times100$

$10=\frac{344000-y}{y}\times100$

$10y=34400000-100y$

$110y=34400000$

$y=\frac{34400000}{110}$

$y=312727.273$

Total cost price $=x+y$

$=390909.091+312727.273$

$=703636.364$

Total selling price $= 344000+344000$

$=688000$

Now, we have to subtract cost price to selling price

$= 703636.364-688000$

loss $= 15636.364$

Therefore, his overall loss is $15636.364$.