Question

5. A shopkeeper buys an article for 300. He increases its price by 20% and then gives
10% discount on the new price.
Find : (i) the new price (marked price) of the article.
(ii) the discount given by the shopkeeper.
(iii) the selling price.
(iv) the profit percent made by the shopkeeper.​

Answer 1

Answer:

8%

Step-by-step explanation:

CP of an article = Rs. 300

Increase in price = 20%

(i) Marked price (MP)

=\frac{CP(100+increase\%)}{100}=

100

CP(100+increase%)

=\frac{300\left(100+20\right)}{100}=

100

300(100+20)

=\frac{300\times120}{100}=

100

300×120

= Rs. 360

(ii) Rate of discount = 10%

Amount of discount = \frac{360\times10}{100}=Rs.36

100

360×10

=Rs.36

(iii) Selling price = MP - discount

= 360 - 36 = Rs. 324

(iv) Net profit to the shopkeeper

= SP - CP = Rs. 324 - Rs. 300 = Rs. 24

Gain% = \frac{Gain\times100}{CP}=\frac{24\times100}{300}=8\%

CP

Gain×100

=

300

24×100

=8%