The iPhone was marked $40 %$ above the cost price and a discount of $30 %$ was given on its marked percent. Find the gain or loss percent by the store.

Open in App

Solution

Let $x$ be the cost price.
then marked price $= x (1 + \frac{40}{100}) = \frac{7 x}{5}$
Discount $= \frac{7 x}{5} \times \frac{40}{100} = \frac{14 x}{25}$
So, final selling price $= \frac{7 x}{5} - \frac{14 x}{25} = \frac{35 x - 14 x}{25} = \frac{21 x}{25}$
So, loss $= x - \frac{21 x}{25} = \frac{25 x - 21 x}{25} = \frac{4 x}{25}$
So, loss percentage $= \frac{4 x}{25} \times 100 % = 16 %$

Suggest Corrections

Similar questions

$A cellphone was marked at 40 % above the cost price and a discount of 30 % was given on its marked price.Find the gain or loss per cent made by the shopkeeper.$

Q. An article is marked

20 %

above cost price. The shopkeeper allows a discount of

12 %

on it. Find his gain or loss percent.

Q. Dealer marks his goods at 35% above the cost price and allows a discount of 20% on the Marked price. Find his gain or loss percent.

Q. A man gives

4 %

discount on marked price and gives

1

article free for buying every

15

articles and gains

35

percent. The marked price is increased above the cost price by (in percent)

Join BYJU'S Learning Program

The iPhone was marked 40% above the cost price and a discount of 30% was given on its marked percent. Find the gain or loss percent by the store.

Let x be the cost price.then marked price=x(1+40100)=7x5Discount=7x5×40100=14x25So, final selling price=7x5−14x25=35x−14x25=21x25So, loss=x−21x25=25x−21x25=4x25So, loss percentage=4x25×100%=16%

The iPhone was marked $40 %$ above the cost price and a discount of $30 %$ was given on its marked percent. Find the gain or loss percent by the store.