Ravish bought 100 articles for rs. 4000 . he sold 20 of them at the gain of 5%. at what gain percent must he sell the remaining articles to gain 20%on the whole?
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Answers
Answer :
➥ Ravish got 23.75% on the articles.
Given :
➤ Ravish bought 100 articles for Rs. 4000.
➤ Ravish sold 20 of them at the gain of 5%.
➤ The remaining articles to gain 20% on the whole
To Find :
➤ At what gain percent must he sell the remaining articles to gain 20% on the whole.
Required Solution :
→ CP of 100 articles = Rs. 4000
→ CP of 1 article = 4000/100
→ CP of 1 article = Rs. 40
❍ In the Question we are provided that he sells 20 article at a gain of 5 %
Therefore, SP of 20 article :
→ SP of 20 articles = 40 × 20 + 40 × 20 × 5/100
→ SP of 20 articles = 800 + 800 × 5/100
→ SP of 20 articles = 800 + 8 × 5
→ SP of 20 articles = 800 + 40
→ SP of 20 articles = 840
He wants profit of 20% that means the profit he wants :
→ The profit he wants = 20/100 × 400
→ The profit he wants = 20 × 40
→ The profit he wants = Rs. 800
→ CP of 80 articles = 8 × 40
→ CP of 80 articles = Rs. 3200
He get Rs. 40 as a profit from Rs. 800
So, he want to get more Rs. 760
Now ,
⇛ Profit percent = Profit/CP × 100
⇛ Profit percent = 760/3200 × 100
⇛ Profit percent = 76/32
⇛ Profit percent = 23.75 %
║Hence, the Ravish got 23.75% on the articles.║
Given:-
- Ravish bought 100 Articles for ₹4000
- Ravish sold 20 of them at a gain of 5%
To Find Out:-
- At what gain percent must he sell the remaining articles to gain 20% on the whole.
Solution :-
- CP of 100 articles = Rs. 4000
- → CP of 1 article = 4000/100
- → CP of 1 article = Rs. 40
________________________
As from the question itself it says that he sells 20 Articles at a profit percentage of 5%.
- Thus, Selling Price of 20 Articles = 40*20+40*20 * 5/100
- => 800+800*5/100
- Therefore, the selling price of 20 Articles = 800+40 = 840
Now,
Ravish wants profit of 20% that means the profit he wants :
- The profit he wants = 20/100 × 400
- The profit he wants = 20 × 40
- → The profit he wants = Rs. 800.
- CP of 80 articles = 8 × 40
- → CP of 80 articles = ₹ 3200
Then,
He get Rs. 40 as a profit from Rs. 800
So, he want to get more Rs. 760
Final Solution :-
- Profit percent = Profit/CP × 100
- Profit percent = 760/3200 × 100
- Profit percent = 76/32
- Profit percent = 23.75 %