Rakesh bought 50 articles for 20.000. He sold 20
them at a gain of 15%. At what rate must he sell the
remaining articles so as to gain 30% on the whole?
Answers
Answer:
Step-by-step explanation:
cost price of 50 articles = Rs 20,000
cost price of 1 article = 20,000/50
=Rs 400
cost of 20 Articles=20 × 400 = Rs 8000
selling price of 20 articles
=8000 + 15 % of 8000= 8000 + 1200
=Rs 9200
required gain=30 % of the total C.P
_______________________________
=30% of 20,000 = 30 × 20,000 /100
=Rs 6000
Required selling price:
_______________________________
=20,000 + 6000 = 26,000
Remaining selling price to gain 30% on the whole
=26,000 - s.p of 20 articles
=26,000 - 9200 = Rs 16800
remaining articles to sell:
_______________________________
=50 - 20 = 30 articles
C.P of remaining (30) articles
=30 × 400 = Rs 12000
profit=16800 - 12000 = Rs 4800
profit % = profit / c.p × 100
=4800/ 12000 × 100 = 40%
therefore,
he must sell the remaining articles at the rate of 40% to gain 30 % profit on the whole.
_______________________________
Your Answer : 40%
_______________________________
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TheGreatStudent01Maths AryaBhatta
Given that Rakesh bought 50 articles for 20,000.
So, Cost of 50 articles = 20,000
Cost of 1 article = 20000/50
= 400.
Cost of 20 articles = 400 * 20
= 8000.
Given that He sold 20 of them at a gain of 15%.
Selling price of 20 articles = 115% of 8000
= (115/100) * 8000
= 9200.
Now,
To get 30% gain on whole transaction:
Selling price of 50 articles = 130% of 20,000
= (130/100) * 20000
= 26000.
Selling price of remaining 70% of articles = 26000 - 9200 = 16800.
Cost price of remaining articles = 30 * 400
= 12000.
Here, Selling price > Cost price. So, Gain has occurred.
We know that Gain = Selling price - Cost price
= 16800 - 12000
= 4800.
We know that Gain% = (Gain/CP) * 100
= (4800/12000) * 100
= 40%.
Therefore, Rakesh must sell the remaining articles at 40% gain.
hope it helps mark me as brainliast
Answer:
Cost price of 50 articles = Rs 20,000
cost price of 1 article = 20,000/50
=Rs 400
cost of 20 Articles=20 × 400 = Rs 8000
selling price of 20 articles
=8000 + 15 % of 8000= 8000 + 1200
=Rs 9200
required gain=30 % of the total C.P
_______________________________
=30% of 20,000 = 30 × 20,000 /100
=Rs 6000
Required selling price:
_______________________________
=20,000 + 6000 = 26,000
Remaining selling price to gain 30% on the whole
=26,000 - s.p of 20 articles
=26,000 - 9200 = Rs 16800
remaining articles to sell:
_______________________________
=50 - 20 = 30 articles
C.P of remaining (30) articles
=30 × 400 = Rs 12000
profit=16800 - 12000 = Rs 4800
profit % = profit / c.p × 100
=4800/ 12000 × 100 = 40%
therefore,
he must sell the remaining articles at the rate of 40% to gain 30 % profit on the whole.
_______________________________
Your Answer : 40%
_______________________________
pls mark me as brainlist