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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:

A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was

A) Rs 100	B) Rs 150
C) Rs 200	D) Rs 250

Answer & Explanation Answer: C) Rs 200

Explanation:

Let original Cost price is x
Its Selling price = (105/100) * x = 21x/20
New Cost price = (95/100) * x = 19x/20
New Selling price = (110/100 )* (19x/20 )= 209x/200
[(21x/20) - (209x/200)] = 1
=> x = 200

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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 shopkeeper expects a gain of 45/2 % on his C.P. If his sale was Rs. 392, then find his profit.

A) Rs. 70	B) Rs. 72
C) Rs. 74	D) Rs. 76

Answer & Explanation Answer: B) Rs. 72

Explanation:

We Know, $S . P = (\frac{100 + g a i n p e r c e n t}{100} \times C . P)$

$\Rightarrow C . P = \frac{100}{122.50} \times 392$

Profit = 392−320 = Rs72

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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:

$I f a = b^{x}, b = c^{y} a n d c = a^{z} t h e n t h e v a l u e o f x y z i s e q u a l t o :$

A) -1	B) 0
C) 1	D) abc

Answer & Explanation Answer: C) 1

Explanation:

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Filed Under: Logarithms

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