ravish bought 100 articles for ₹4000 . he sold 20 of them at a gain of 5% . at what gain percent must he sell the remaning article so as to gain 20% percent on the whole
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Step-by-step explanation:
Let's say the price of the articles be x.
Given that ravish bought 100 articles for ₹4000 and he sold 20 of them at a gain of 5%.
Cost price of 1 article = Rs. 4000
for 100 articles = 4000/100
for 20 articles = 4000/100 × 20 = Rs. 800
As per given question,
→ x = 800 + 5/100 × 800
→ x = 840
Let's say the selling price of all the articles be y.
So,
→ y = 4000 + 20/100 × 4000
→ y = 4800
SP of 80 articles = Rs. (4800 - 840) = Rs. 3960
CP of 80 articles = 40(80) = Rs. 3200
Gain = SP - CP = Rs. (3960 - 3200) = Rs. 760
Gain% on 80 articles = 760/3200 × 100 = 23.75%
Therefore, the gain% is 23.75%.
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