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Q:

A dealer sold two of his cattle for Rs. 500 each. On one of them he lost 10% on the other, he gained 10%. His gain or loss percent in the entire transaction was:

A) 10% loss B) 1% loss
C) 1% gain D) Neither loss nor profit
 
Answer & Explanation Answer: B) 1% loss

Explanation:

Loss%= (common gain or loss % / 10)2 = (10/10)² % = 1%.

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Filed Under: Profit and Loss

Q:

If books bought at prices ranging from Rs 200 to Rs 350 are sold at prices ranging from Rs 300 to Rs 425, what is the greatest possibleprofit that might be made in selling eight books.

A) 800 B) 1200
C) 1600 D) 1800
 
Answer & Explanation Answer: D) 1800

Explanation:

least cost price      = 200*8 = 1600
greatest sold price = 425 * 8 = 3400
profit required = 3400- 1600 = 1800

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Q:

By mixing two qualities of pulses in the ratio 2: 3 and selling the mixture at the rate of Rs 22 per kilogram, a shopkeeper makes a profit of 10 %. If the cost of the smaller quantity be Rs 14 per kg, the cost per kg of the larger quantity is:

A) Rs 23 B) Rs 25
C) Rs 24 D) Nonof these
 
Answer & Explanation Answer: C) Rs 24

Explanation:

Cost Price of 5 kg = Rs.(14*2 + x*3) = (28 + 3x).

Sell price of 5 kg = Rs. (22x5) = Rs. 110.

[{110 - (28 + 3x)}/(28 + 3x) ]* 100 =10

[82-3x/28 + 3x]= 1 / 10

820 - 30x = 28 +3x 

33x = 792 

x = 24

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Q:

If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is ?

A) 12% B) 30%
C) 50% D) 60%
 
Answer & Explanation Answer: C) 50%

Explanation:

Friends, we know we will need gain amount to get gain percent, right. So lets get gain first.

Let the cost price of 1 pen is Re 1

Cost of 8 pens = Rs 8

Selling price of 8 pens = 12

Gain = 12 - 8 = 4

Gain% = gaincost×100%  = 48×100% = 50%

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Q:

If the cost price is 25% of selling price. Then what is the profit percent.

A) 150% B) 200%
C) 300% D) 350%
 
Answer & Explanation Answer: C) 300%

Explanation:

Let the S.P = 100
then C.P. = 25

Profit = 75

Profit% = (75/25) * 100 = 300%

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Q:

If log8x = 313 then find the value of x?

A) 25 B) 32
C) 37 D) None of these
 
Answer & Explanation Answer: B) 32

Explanation:
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Filed Under: Logarithms

Q:

A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A) 400 kg B) 560 kg
C) 600 kg D) 640 kg
 
Answer & Explanation Answer: C) 600 kg

Explanation:

By the rule of alligation:

 

Profit of first part                         Profit of second part

 

 

So, ratio of 1st and 2nd parts = 4 : 6 = 2 : 3. 

 

Therefore, Quantity of 2nd kind = (3/5 x 1000)kg = 600 kg.

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Filed Under: Alligation or Mixture

Q:

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?

A) 36 Kg B) 42 Kg
C) 54 Kg D) 63 Kg
 
Answer & Explanation Answer: D) 63 Kg

Explanation:

By the rule of alligation:


C.P. of 1 kg sugar of 1st kind      C.P. of 1 kg sugar of 2nd kind 

 

  

 

Therefore, Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3. 

Let x kg of sugar of 1st kind be mixed with 27 kg of 2nd kind. 

Then, 7 : 3 = x : 27 or x = (7 x 27 / 3) = 63 kg.

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Filed Under: Alligation or Mixture