Given that SP = Rs. 102 and loss = 15%
CP = (100(SP))/(100 - 15%) = (100 * 102)/85
= Rs. 120
To get 20% profit, New SP = [(100 + p%)CP]/100 = (120 * 120)/100 = Rs. 144
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Two Chairs and one Dining Table cost Rs. 700 and 1 Chair and 2 Dining Tables cost Rs. 800. If the cost of M Chairs and M Dining Tables is Rs. 30,000, then what is the value of M ?
Let's assume the cost of a chair = Rs. x
And the cost of a Dining Table = Rs. y
so as per question
2x + y = 700 ..... (1) Multiply by 2
x + 2y = 800 ..... (2)
then
4x + 2y = 1400 ..... (3)
x + 2y = 800 ..... (4)
Get the value of x and y by solving equation (3) & (4)
x = 200 & y = 300
Cost of M chairs and M Dining Tables
=> M(x + y) = 30,000 <
=> M * 500 = 30,000
=> M = 60
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A person sold an article for Rs. 3,600 and got a profit of 20%. If he sold the article for Rs. 3,150, Then how much profit he will make ?
SP = Rs. 3,600. P% = 20%
Directly use Calculating Cost price from Selling Price formula:
------------------------------------------------------
In Profit case:
Cost Price = SP/(100+Profit)%
In Loss Case:
Cost Price = SP/(100?Loss)%
------------------------------------------------------
Here he make profit of 20%
Cost Price = 3600/(100 + 20)% = (100 * 3600)/120 = Rs. 3,000
He sold the article for Rs. 3,150.
So Cost Price = Rs. 3000 and Sell Price = Rs. 3,150,
=> profit = Rs. 3150 - 3000 = Rs. 150
Formula Used: Profit% = (profit/CP)*100
Therefore Profit % = (150/3000) * 100% = 5%
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A merchant earns a profit of 20% by selling a basket containing 80 Guava which cost Rs. 240. But he gives one-fourth of it to his friend at cost price and sells the remaining Guava. In order to earn the same profit, at what price he should he sell each Guava?
Making 20% Profit by selling Guava basket of Rs. 240
=> Profit = 240 x 20/100 = Rs. 48
He gives 80 x 1/4 Guava to Friend
=> 20 Guava @ cost price to a friend => Remaining apple = (80 - 60) = 60
=> He has to make a profit of Rs. 48 by selling 60 Guava.
? A profit of Rs. 48/60 = Rs. 0.80 per Guava
Cost Price for each Guava = 240/80 = Rs. 3
? SP of each Guava = (CP + Profit) = (Rs. 3 + Rs. 0.80) = Rs. 3.80
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A milkman bought 15 kg of milk and mixed 3 kg of water in it. If the price per kg of the mixture becomes Rs. 22, what is cost price of the milk per kg?
Cost of 1 kg of mixture = Rs. 22
Cost of (15 + 3) kg of mixture = (18 * Rs 22) = Rs. 396
As water is free so Rs. 396 is the actual cost of 15 kg of milk
so cost of 1 kg of milk = (396 /15) = Rs. 26.40
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The cost of two articles are in the ratio 3 : 5. If there is 30% loss on the first article and 20% gain on the second article, what is overall percentage of loss or gain?
1st Article
--------------
CP = Rs. 3;
Loss of 30% so Loss = 3 x 30/100 = 0.9
SP = Rs. 2.1
2nd Article
--------------
CP = Rs. 5;
gain of 20% so Gain = 5 x 20/100 = 1
SP = Rs. 6
Total CP = Rs.(3 + 5) = Rs. 8
Total SP = Rs.(2.1 + 6) = Rs. 8.1
CP < SP so He is making gain .
Gain = Rs. (8.1 - 8) = Rs. 0.1
Gain % = (0.1 x 100)/8 = 10/8 = 1.25%
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A person bought 8 quintal of rice for certain rupees. He sold 3 quintal of rice at 10% profit. After a week, he sold 3 quintal of rice with neither profit nor loss and 2 quintal at 5% loss. In this transaction, what is the profit?
Let's assume cost price for 1 Quintal = Rs.100
Total CP = Rs. 8 x 100 = Rs. 800
SP of first 3 kg = Rs. 3 x 110 = Rs. 330
SP of next 3 kg = Rs. 3 x 100 = Rs. 300
SP of 2 kg = Rs. 2 x 95 = Rs. 190
Total SP = Rs. 820
Profit = Rs. 20
Profit% = (20/800) * 100% = 2.5%
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A person sold an article for Rs. 136 and made a loss of 15%. If he sold it for Rs. x, he would have made a profit of 15%. Which one of the following is correct?
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