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Q:

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

A) Rs. 2000 B) Rs. 2200
C) Rs. 2400 D) Data inadequate

Answer:   A) Rs. 2000

Explanation:

Let C.P. be Rs. x.

Then,{\color{Black} \Rightarrow }{\color{Black} \frac{1920-x}{x}\times 100=\frac{x-1280}{x}\times 100}

{\color{Black} \Rightarrow } 1920 - x = x - 1280

{\color{Black} \Rightarrow } 2x = 3200

{\color{Black} \Rightarrow } x = 1600

{\color{Black}\therefore } Required S.P. = 125% of Rs. 1600 ={\color{Black}Rs.\left ( \frac{125}{100}\times 1600 \right )=Rs 2000 }

Q:

A supplier supplies cartridges to a news paper publishing house. He earns a profit of 25% by selling cartridges for Rs. 1540. Find the cost price of the Cartridges ?

A) Rs. 1100 B) Rs. 1793.4
C) Rs. 1440 D) Rs. 1232
 
Answer & Explanation Answer: D) Rs. 1232

Explanation:

Let Cost Price(C.P) = P
gain% = {(S.P-C.P)/C.P} x 100
25 = {(1540-P)/P} x 100
25/100 = (1540-P)/P
=> P = 4(1540)-4P
=> 5P = 4(1540)
=> P = 1232
So, Cost Price = Rs. 1232

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Q:

Every year before the festive season, a brand store increases the price of the product by 42% and then introduce two successive discount of 10% and 11% respectively. What is percentage loss and percentage gain ?

A) 3.25% loss B) 13.742% loss
C) 3.25% gain D) 13.742% gain
 
Answer & Explanation Answer: D) 13.742% gain

Explanation:

Let CP = 100,
42 % increase => SP = 142
10 % discount in SP => ((142 x 10)/100) = 14.2
So 1st SP = (142 - 14.2) = 127.8, again 12 % discount in 1st SP ((127.8 x 11)/100) = 14.058
2nd SP = (127.8 - 14.058) = 113.742,
So finally CP = 100, SP = 113.742, => gain = 13.742%.

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Q:

A seller uses 840 gm in place of 1 kg to sell his goods. Find his actual profit/loss % When he sells his article on 4% loss on cost price ?

A) 14.28 % profit B) 24.18 % profit
C) 14.28 % loss D) 24.18 % loss
 
Answer & Explanation Answer: A) 14.28 % profit

Explanation:

Let 1kg of Rs. 100 then 840gm is of Rs. 84.
Now (label on can 1kg but contains 840kg ) so for customer it is of Rs. 100 and further gives 4% discount [he sells his article on 4% loss on cost price.]
So now S.P = Rs. 96
But actually it contains 840 gm so C.P for shopkeeper = Rs. 84
S.P = Rs. 96
C.P = Rs. 84
Profit% = {(S.P-C.P)/C.P}x100
{(96-84)/84} x 100 = 14.28571429% PROFIT.

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3 56
Q:

A man sell 35 waffers for Rs. 15 each and loses Rs. 40.4. If he sells 35 waffers for Rs. 18, how much does he loss or gain ?

A) Rs. 64 B) Rs. 52
C) Rs. 72 D) Rs. 55
 
Answer & Explanation Answer: A) Rs. 64

Explanation:

Given Loss = Rs. 40.4
We know loss = cost price - selling price
40.4 = CP - 35(15)
=> CP = 40.4 + 525
=> CP = Rs. 565.4
Now the New selling price of waffer is Rs. 18
=> SP = 35(18) = 630
Now Gain = SP - CP = 630 -565.4 = Rs. 64.6.

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Q:

On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is ?

A) Rs. 55 B) Rs. 60
C) Rs. 65 D) Rs. 70
 
Answer & Explanation Answer: B) Rs. 60

Explanation:

Let the cost price of a ball is Rs.x
Given, on selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls
The equation is :
17x - 720 = 5x
Solving the equation
we get x = 60
Therefore, cost price of a ball is Rs. 60.

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