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Q:

By selling 45 lemons for Rs 40, a man loses 20%. How many should he sell for Rs 24 to gain 20% in the transaction ?

A) 16	B) 18
C) 20	D) 22

Answer & Explanation Answer: B) 18

Explanation:

Let S.P. of 45 lemons be Rs. x.

Then, 80 : 40 = 120 : x or x = $\frac{40 \times 120}{80}$ = 60

For Rs.60, lemons sold = 45

For Rs.24, lemons sold = $\frac{45}{60} \times 24$ = 18.

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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:

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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