solve.Q.7.............
Answers
cost price of 1 article:
----------------------------
cost price of 1 article = 4000/ 100 = ₹40
Find the cost price of 20 articles :
----------------------------------------------
cost price of 20 articles = 20 × 40
= ₹800
since, he sold 20 articles at a gain of 5%
Find the gain :
-------------------
gain = 5 % of 800 = 0.05 × 800
= ₹40
Selling price of 20 articles
= c.p of 20 articles + gain = 800 + 40
= ₹840
required selling price to gain 20% on the whole
= cost price + required gain
= 4000+ 20% of 400
= 400 + 0.2 × 4000= 4000+ 800
= ₹4800
remaining selling price to gain 20%on the whole
= required s.p - s.p of 20 articles
= 4800- 840 = ₹ 3960
remaining articles = 100 - 20 = 80 articles
cost price of 80 articles = 80 × 40
= ₹ 3200
Find the gain :
-------------------
gain = 3960- 3200= ₹ 760
Find the gain% :
---------------------
gain% = ( gain × 100 ) / c.p
= (760× 100 )/ 3200 = 23.75 %
therefore , he should sell the remaining articles at the rate of 23.75 % to gain 20 % on the whole.
Answer : 23.75%
--------------------------------------------------------
Find the cost price of 1 article:
100 articles = Rs 4000 (Given)
1 article = 4000 ÷ 100 = Rs 40
Find the total expected earnings:
20% gain = 20% x 4000 = Rs 800
Total expected earnings = 4000 + 800 = Rs 4800
Find the selling price of 1 article with 5% gain:
5% gain = 5% x 40 = 0.05 x 40 = Rs 2
Selling Price = 40 + 2 = Rs 42
Find the selling price of 20 articles:
1 article = Rs 42
20 articles = 20 x 42 = Rs 840
Find the earning from the remaining article:
Earnings = 4800 - 840 = Rs 3960
Find the profit:
Cost Price of the 80 articles = 80 x 40 = Rs 3200
Selling Price of the remaining article = Rs 3960
Profit = Selling Price - Cost Price
Profit = 3960 - 3200 = 760
Find the profit percentage:
Profit percentage = Profit / cost price x 100
Profit percentage = 760 / 3200 x 100 = 23.75%
Answer: He needs to sell the remaining article at 23.75%