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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:

The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs 3. The ratio of two selling prices is

A) 51:52	B) 52:53
C) 53:54	D) 54:55

Answer & Explanation Answer: B) 52:53

Explanation:

Let the Cost price of article is Rs. x

Required ratio = (104% of x) / (106% of x)

=104/106

=52/53 = 52:53

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Q:

A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. His total gain is.

A) 20%	B) 21%
C) 22%	D) 23%

Answer & Explanation Answer: B) 21%

Explanation:

Gain % = $(\frac{{(100 + c o m m o n g a i n %)}^{2}}{100} - 100)$ %

= $(\frac{{(100 + 10)}^{2}}{100} - 100)$

= 21%

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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% = $(\frac{g a i n}{\cos t} \times 100)$ % = $(\frac{4}{8} \times 100)$ % = 50%

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Q:

A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item

A) Rs. 660	B) Rs. 760
C) Rs. 860	D) Rs. 960

Answer & Explanation Answer: D) Rs. 960

Explanation:

Here always remember, when ever x% loss,
it means S.P. = (100 - x)% of C.P
when ever x% profit,
it means S.P. = (100 + x)% of C.P

So here will be (100 - x)% of C.P.
= 80% of 1200
= (80/100) * 1200
= 960

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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:

A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.

A) Rs.1200	B) Rs.1230
C) Rs.1260	D) Rs.1290

Answer & Explanation Answer: C) Rs.1260

Explanation:

Let the new S.P be x, then

(100 - loss%) : (1st S.P.) = (100 + gain%) : (2nd S.P.)

$\Rightarrow (\frac{95}{1140} = \frac{105}{x})$

=> x = 1260

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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

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