Profit and Loss
- A producer of a tea blends two varieties of tea from tea gardens one costing ₹ 18 per kg and another ₹ 20 kg in the ratio 5 : 3. If he sells the blended variety at ₹ 21 per kg, then his gain percentage is
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Let quantities of two types of tea costing ₹ 18 per kg and ₹ 20 per kg be 5W kg and 3W kg. respectively.
Then, CP of tea = (18 x 5W) + (20 x 3W)
= 90W + 60W = 150W
SP of tea = 21 x 8W = 168WCorrect Option: D
Let quantities of two types of tea costing ₹ 18 per kg and ₹ 20 per kg be 5W kg and 3W kg. respectively.
Then, CP of tea = (18 x 5W) + (20 x 3W)
= 90W + 60W = 150W
SP of tea = 21 x 8W = 168W
Profit percent = [(168W - 150W) / 150W] x 100%
= (18/150) x 100% = 12%
- Pens are bought at 5 for ₹ 4 and sold at 4 for ₹ 5. Find the gain per cent.
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Let the number of pens bought = 5 x 4 = 20
Then, CP = (4/5) x 20 = ₹ 16
and SP = (5/4) x 20 = ₹ 25Correct Option: C
Let the number of pens bought = 5 x 4 = 20
Then, CP = (4/5) x 20 = ₹ 16
and SP = (5/4) x 20 = ₹ 25
∴ Gain = 25 - 16 = ₹ 9
Gain % = (9/16) x 100% = 56.25%
- A person purchased 11 articles for ₹ 10 and sells at 10 articles for ₹ 11. Find the gain percentage.
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Cost price of 11 Articles = 10
Cost price of 1 Article = 10/11
and SP of 10 Articles = 11
∴ SP of 1 Article = 11/10
Now, gain = (11/10) - (10//11)
= (121 - 100)/110 = 21/110
And gain% = [(21/110) / (10/11)] x 100Correct Option: D
Cost price of 11 Articles = 10
Cost price of 1 Article = 10/11
and SP of 10 Articles = 11
∴ SP of 1 Article = 11/10
Now, gain = (11/10) - (10//11)
= (121 - 100)/110 = 21/110
And gain% = [(21/110) / (10/11)] x 100
= (21 x 11)/11 = 21
- By selling 100 pens, a shopkeeper gains the selling price of 40 pens. Find his gain percent.
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(SP of 100 pens) - (CP of 100 pens) = SP of 40 pens
⇒ SP of 60 pens = CP of 100 pens.Correct Option: E
(SP of 100 pens) - (CP of 100 pens) = SP of 40 pens
⇒ SP of 60 pens = CP of 100 pens.
Let CP of each pen = ₹ 1
Then, CP of 60 pens = ₹ 60
SP of 60 pens = ₹ 100
Gain = 100 - 60 = ₹ 40
∴ Gain % = (40/60) x 100 % = 66.67%
- If the cost of price of 16 pens is equal to the selling price of 12 pens, then the gain or loss per cent is
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Here, a = 16, b = 12
According to the formula,
Required gain percent = [(a - b)/b] x 100Correct Option: A
Here, a = 16, b = 12
According to the formula,
Required gain percent = [(a - b)/b] x 100
= [(16 - 12)/12] x 100
= (4/12) x 100
= 331/3% (gain)