Question

By selling an article for 17rs a shopkeeper loses 15%.At what price should he sell it to gain 15%?

Answer 1

Question :-- By selling an article for 17rs a shopkeeper loses 15%.At what price should he sell it to gain 15% ?

Solution :---

SP of article is = Rs. 17 ,

Loss % is = 15%

So, CP of article = SP*100 / (100 - Loss%)

Putting values we get,

→ CP of article = 17 * 100 / 85 = Rs.20 .

Hence, Cost Price of Article was Rs.20 ..

____________________________

Now,

→ CP of article = Rs.20

→ Gain % = 15%

→ SP of article = CP * (100+ Profit%) /100 .

Putting values again , now,

→ SP of article = 20 * 115 /100 = Rs.23..

Hence, he must sell the Article at Rs.23 to gain 15% .

Answer 2

Answer:

So to gain profit of 15% he must sell it at Rs 23

Step-by-step explanation:

We Have :-

SP of article is = Rs. 17 ,

Loss % is = 15%

To Find :-

At what price should he sell it to gain 15%

Formula Used :-

CP of article = SP*100 / (100 - Loss%)

SP of article = CP * (100+ Profit%) /100 .

Solution :-

CP of Article = ( 17 * 100 ) / 85

= Rs 20

SP of Article = ( 20 * 115 ) / 100

= Rs 23

So to gain profit of 15% he must sell it at Rs 23