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Q:

A man purchases two articles, on selling one at loss of 20% while the other at a profit of 25%, he gains the overall profit of 5% than find the ratio of their selling price ?

A) 8 : 62.5	B) 55 : 8
C) 8 : 65	D) 64.4 : 9

Answer & Explanation Answer: A) 8 : 62.5

Explanation:

Article I Article II
-20 25%
5%
20% 25%

4 : 5

Now, Selling of first article = (4-20%) = 0.8

Selling of second article = (5+25%) = 6.25

Therefore the ratio of selling price = 8 : 62.5

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Filed Under: Profit and Loss
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Q:

If the average height of boys in a hall is 180 cm and that of girls is 150 cm. If the average height of the gathering is 165 cm, then find the number of girls present in the hall if the number of boys present in the hall are 78 ?

A) 56	B) 64
C) 87	D) 78

Answer & Explanation Answer: D) 78

Explanation:

Using Trial and error method,

we get the number of girls in the hall = 78

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Filed Under: Average
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Q:

Rajeev's age is four more than the age of Shilpa. The age of Shilpa can be obtained by subtracting four times her age 4 years ago from the four times her age after 4 years. What was Rajeev's age before 4 years ?

A) 36 years	B) 28 years
C) 32 years	D) 40 years

Answer & Explanation Answer: C) 32 years

Explanation:

Let Shilpa's present age is p years

According to question,

p = 4(x+4) – 4(x–4)

p = 4x+16 – 4x+16

p = 32

Shilpa's present age = 32 years

Rajeev is four years older than Shilpa

=> Shilpa's present age = Rajeev's age 4 years before.

=> Rajeev's age 4 years before = 32 years.

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Filed Under: Problems on Ages
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Q:

Priya can do a work in 16 days. In how many days will the work be completed by Sai, if the efficiency of Sai is 60% more than that of Priya ?

A) 8 days	B) 12 days
C) 14 days	D) 10 days

Answer & Explanation Answer: D) 10 days

Explanation:

Ratio of efficiencies of Priya and Sai is

Sai : Priya = 160 : 100 = 8 : 5

Given Priya completes the work in 16 days

Let number of days Sai completes the work be 'd'

=> 5×16 = 8×d

d = 10 days.

Therefore, number of days Sai completes the work is 10 days.

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Filed Under: Time and Work
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Q:

Uma sold an article for 3400 and got a profit of 25%. If he had sold the article for Rs. 3265. How much profit% would Uma have got ?

A) 22%	B) 27%
C) 20%	D) 18%

Answer & Explanation Answer: C) 20%

Explanation:

Given

125% ---- 3400

=> 100% ---- ?

=> ? = 3400x100/125 = 2720

=> Cost price of the article = Rs. 2720

Profit when article sold at Rs. 3265 = 3265 - 2720 = 545

Hence, Profit% = Gain x 100/cost price

=> P% = 545 x 100/2720

=> P% = 20%

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Filed Under: Profit and Loss
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Q:

60 percent of 2/7 of three-fourth of a number is 2664. What is the number ?

A) 20720	B) 21352
C) 25421	D) 24150

Answer & Explanation Answer: A) 20720

Explanation:

Let N be the required number.

=> $\frac{60}{100} x \frac{2}{7} x \frac{3}{4} x N = 2664$

=> N = 2664x2x7x5/9

=> N = 20720.

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Filed Under: Percentage
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Q:

What approximate value will come in place of question mark (?) in the following question ?

(49.001)² = ?

A) 2500	B) 2400
C) 2600	D) 2300

Answer & Explanation Answer: B) 2400

Explanation:

Given (49.001)² = ?

=> =~ 49 x 49

=~ 2401

=~ 2400

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Filed Under: Mathematical Operations
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Q:

Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.

A) 1:9	B) 9:1
C) 3:7	D) 7:3

Answer & Explanation Answer: D) 7:3

Explanation:

Ratio of Milk and water in a vessel A is 4 : 1

Ratio of Milk and water in a vessel B is 3 : 2

Ratio of only milk in vessel A = 4 : 5

Ratio of only milk in vessel B = 3 : 5

Let 'x' be the quantity of milk in vessel C

Now as equal quantities are taken out from both vessels A & B

=> 4/5 : 3/5
x
3/5-x x - 4/5

=> $\frac{\frac{3}{5} - x}{x - \frac{4}{5}}$ = $\frac{1}{1}$ (equal quantities)

=> x = 7/10

Therefore, quantity of milk in vessel C = 7

=> Water quantity = 10 - 7 = 3

Hence the ratio of milk & water in vessel 3 is 7 : 3

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Filed Under: Alligation or Mixture
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