Profit and Loss
- A woman bought eggs at ₹ 30 per dozen, The selling price per hundred so as to gain 12% will be (in ₹)
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12 egg cost ₹ 30
Then cost price of 1 eggs = 35 x 12 = #8377; 2.5
Cost price of 100 eggs = 25 x 100 = ₹ 250
Now, let the SP of 100 eggs ₹ N.
Then [(SP - CP) / CP] x 100= profit % [(N - 250)/250] x 100 = 12
⇒ (N - 250)/(2/5) =12Correct Option: A
12 egg cost ₹ 30
Then cost price of 1 eggs = 35 x 12 = #8377; 2.5
Cost price of 100 eggs = 25 x 100 = ₹ 250
Now, let the SP of 100 eggs ₹ N.
Then [(SP - CP) / CP] x 100= profit % [(N - 250)/250] x 100 = 12
⇒ (N - 250)/(2/5) =12
⇒ N- 250 = (12 x 5)/2= 30
N = 250 + 30 = ₹ 280
- Charu purchased a dinner set at 3/10th of its selling price and sold it at 10% more than its CP. Find the gain per cent. ?
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Let SP = ₹ 100
∴ CP = (3/10) x 100 = ₹ 30
New SP = (30 x 110)/100 = ₹ 33
Gain = 33 - 30 = ₹ 3Correct Option: D
Let SP = ₹ 100
∴ CP = (3/10) x 100 = ₹ 30
New SP = (30 x 110)/100 = ₹ 33
Gain = 33 - 30 = ₹ 3
Gain % = (3/30) x 100% = 300/30 % = 10%
- A shopkeeper sells wheat at a profit of 10% and uses weight which are 20% less than the actual weight. The total gain earned by him will be ?
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Let the actual price of per kg of wheat = ₹ . 100
Then, selling price = 110% of 100 = ₹ 110
Now, shopkeeper sell 20% less than actual weight so cost price to shopkeeper will be = 80% of 100
= (80 x 100)/100
= ₹ 80Correct Option: C
Let the actual price of per kg of wheat = ₹ . 100
Then, selling price = 110% of 100 = ₹ 110
Now, shopkeeper sell 20% less than actual weight so cost price to shopkeeper will be = 80% of 100
= (80 x 100)/100
= ₹ 80
Hence, required profit gained by shopkeeper = [(110 - 80)/80] x 100
= (30/80) x 100
= 37.5%
- What is the percentage profit made by selling an umbrella at a certain price, if by selling at 2/3rd of that price, there would be a loss of 10% ?
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Let the selling price for the umbrella is P.
Cost price for the umbrella is Q.
Now from question
Q - 2P/3 = 10% of Q.Correct Option: C
Let the selling price for the umbrella is P.
Cost price for the umbrella is Q.
Now from question
Q - 2P/3 = 10% of Q.
⇒ P = (3/2)(Q - 10% of Q)
⇒ P = (3/2) x (90/100) x Q
∴ P = 1.35 x Q.
So % profit = [(1.35 x Q - Q)/Q]x100 % = 35 % profit.
- The difference between the CP and SP of the article is ₹ 240. If the profit is 20%, the selling price is ?
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Given, gain% = 20
Different between SP and CP = 240
Now, gain% = [(SP - CP)/ CP] x 100
⇒ 20 = [240/CP] x 100
⇒ CP = 240 x 5
⇒ CP = 1200Correct Option: A
Given, gain% = 20
Different between SP and CP = 240
Now, gain% = [(SP - CP)/ CP] x 100
⇒ 20 = [240/CP] x 100
⇒ CP = 240 x 5
⇒ CP = 1200
∴ SP = 1200 + 240 [∵ SP - CP = 240]
= 1440