Profit and Loss
- A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is the original price per kg of sugar ?
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Reduction in price = 20% ( 1 / 5 )
Increase in amount = 25 % (1 / 4) = 6 kg
It means original amount of sugar needed = 6 X 4 =24 kgCorrect Option: A
Reduction in price = 20% ( 1 / 5 )
Increase in amount = 25 % (1 / 4) = 6 kg
It means original amount of sugar needed = 6 X 4 =24 kg
∴ Original price of the sugar = 240 / 24
= Rs. 10 per kg
- Due to reduction of 25% in price of oranges a customer can purchase 4 oranges more for Rs. 16. What is the original price of an oranges?
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It is based on inverse proportion or product constancy concept.
Reduction in price = 25% (1 / 4)
Increase in amount = 33.33% ( 1 / 3 ) = 4 orangesCorrect Option: B
It is based on inverse proportion or product constancy concept.
Reduction in price = 25% (1 / 4)
Increase in amount = 33.33% ( 1 / 3 ) = 4 oranges
∴ Original price of oranges = 16 / 12 = Rs. 1.33
- Kamal bought a house in Sushant city, whose sale price was Rs. 8 lakh. He availed 20% discount as an early bird offer and then 10% discount due to cash payment. After that he spent 10% of the cost price in interior decoration and lawn of the house. At what price should be sell the house to earn a profit of 25% ?
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Assume market price (MP) = Rs. 100
After 20% discount price = 100 - 20% = Rs. 80
After cash discount of 10% price = 80 - 10% = Rs. 72
Price after 10% spend on interior decoration = 72 + 10% = Rs. 79.2
So the cost price (CP) = Rs. 79.2
Selling price after 25 % profit = CP + 25%Correct Option: C
Assume market price (MP) = Rs. 100
After 20% discount price = 100 - 20% = Rs. 80
After cash discount of 10% price = 80 - 10% = Rs. 72
Price after 10% spend on interior decoration = 72 + 10% = Rs. 79.2
So the cost price (CP) = Rs. 79.2
Selling price after 25 % profit = CP + 25%
= 79.2 + 25% of 79.2
= 1.25 x 79.2
= 99
When initial market price is 100 rupees the selling price is 99.
So for initial market price 8 Lakh the selling price = 8000000 x ( 99 / 100 )
= 7,92,000
- A retailer bought 20 kg tea at a discount of 10%. Besides 1 kg tea was freely offered to him by the wholesaler at the purchase of 20 kg tea. Now he sells all the at marked price to a customer.What is the profit percentage of retailer?
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Let the MP 1 kg tea be Rs. 1,
Then CP of 20 kg with discount = 20 x 0.9 = Rs.18
Also 1 kg tea is free. So the retailer gets tea worth Rs. 21 by paying Rs. 18 only.Correct Option: C
Let the MP 1 kg tea be Rs. 1,
Then CP of 20 kg with discount = 20 x 0.9 = Rs.18
Also 1 kg tea is free. So the retailer gets tea worth Rs. 21 by paying Rs. 18 only.
profit % = ( goods left / goods sold) x 100
= (21-18 / 18 x 100 = 16.66 %
(Since the retailer earn Rs. 3 on each Rs.18)
- The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater then the corresponding cost price by 33.33%, what is the increased selling price ?
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Initially :
CP = 100
Profit = x
SP = 100 + x
MP = 133.33
After change
CP = 100
Profit = 2x
SP = [7(100 + x)]/6
Now , since (100 + x) 7/6 - 100 = 2xCorrect Option: C
Initially :
CP = 100
Profit = x
SP = 100 + x
MP = 133.33
After change
CP = 100
Profit = 2x
SP = [7(100 + x)]/6
Now , since (100 + x) 7/6 - 100 = 2x
⇒ x = 20%
CP = 100
Profit = 20
SP = 120
MP = 133.33
so when CP = 300
Selling price = 300 + 20% = 360.
After change
So when CP = 300
Selling price = 300 + 2 x 20% of 300 = 420
So the increased selling price = Rs. 420