Question

A shopkeeper purchases a stereo
system of marked price 2000, at
successive discount of 10% and 15%
respectively. He then spent * 70 on
packaging and sold it for 2000.
Calculate his gain percentage.
(A) No Gain (B) 25%
(C) 30%
(D) 35%
(1) A (2) D (3) B (4) C​

Answer 1

Answer:

His gain percentage is 25%.

Step-by-step explanation:

Consider the marked price is 2000.

The successive discount formula is:

If 1st discount is x% and 2nd discount is y% then ,

Total discount = ( x + y - xy / 100 ) %

Therefore,

Total discount = $10+15-\frac{10(15)}{100}$ %

                       = $25-1.50}$ %

                       = $23.5}$ %

Now calculate the 23.5% of 2000.

2000×23.5/100 = 2000×0.235 = 470

He gets a discount of 470 on 2000.

The money he spent is: 2000-470=1530

He spent 70 on packaging,

1530+70=1600

The total money he spent is 1600. He sold it for 2000, that means the profit is 2000-1600=400.

Now, calculate the %gain.

$\frac{400}{1600}\times 100 =25$

Hence, his gain percentage is 25%.