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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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Filed Under: Profit and Loss

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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Filed Under: Profit and Loss

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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Filed Under: Profit and Loss

Q:

The value of $[\frac{1}{3} l o g_{10} (125) - 2 l o g_{10} (4) + l o g_{10} (32)] :$

A) 0	B) 1
C) 2	D) 4/5

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

Q:

The value of $(l o g_{5} (5)) (l o g_{4} (9)) (l o g_{3} (2)) i s :$

A) 1	B) 3/2
C) 2	D) 5

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Logarithms

Q:

$T h e v a l u e o f l o g_{2} (l o g_{5} (625)) i s :$

A) 2	B) 5
C) 10	D) 15

Answer & Explanation Answer: A) 2

Explanation:

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Filed Under: Logarithms
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk

Q:

Tea worth of Rs. 135/kg & Rs. 126/kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____?

A) Rs. 169.50	B) Rs.1700
C) Rs. 175.50	D) Rs. 180

Answer & Explanation Answer: C) Rs. 175.50

Explanation:

Since first second varieties are mixed in equal proportions, so their average price = Rs.(126+135)/2= Rs.130.50

So, Now the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say Rs. 'x' per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find 'x'.

Cost of 1 kg tea of 1st kind Cost of 1 kg tea of 2nd kind

x-153/22.50 = 1 => x - 153 = 22.50 => x=175.50.

Hence, price of the third variety = Rs.175.50 per kg.

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Filed Under: Alligation or Mixture
Exam Prep: CAT , Bank Exams , AIEEE

Q:

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally?

A) 18 litres	B) 24 litres
C) 32 litres	D) 42 litres

Answer & Explanation Answer: B) 24 litres

Explanation:

Let the quantity of the wine in the cask originally be x litres

Then, quantity of wine left in cask after 4 operations = $[x {(1 - \frac{8}{x})}^{4}]$ litres

$∴ [\frac{x {(1 - \frac{8}{x})}^{4}}{x}] = \frac{16}{81}$

$\Rightarrow {[1 - \frac{8}{x}]}^{4} = {(\frac{2}{3})}^{4}$

$\Rightarrow x = 24$

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Filed Under: Alligation or Mixture

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