model 3 gain/loss % with C.P/S.P Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on profit & loss topic of quantitative aptitude

Questions : Profit after selling a commodity for 524 is the same as loss after selling it for 452. The cost price of the commodity is

(a) 488

(b) 500

(c) 485

(d) 480

The correct answers to the above question in:

Answer: (a)

Let the cost price of the commodity = Rs.x

According to the question,

524 - x = x - 452

or 2x = 524 + 452

or 2x = 976 or $x =976/2 = 488$

∴ The required price = Rs.488

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Read more gain loss with cp sp Based Quantitative Aptitude Questions and Answers

Question : 1

A merchant sold an article for 75 at a profit percent equal to its cost price. The cost price of the article was :

a) 54

b) 50

c) 60

d) 45

Answer: (b)

Using Rule 3,

Let the cost price of article be Rs.x.

$({100 + x}/100)$ of x = 75

$x^2 + 100x - 7500$ = 0

$x^2 + 150x - 50x - 7500$ = 0

x (x + 150) - 50 (x + 150) = 0

(x - 50) (x + 150) = 0

x = 50 as x can't be negative

Question : 2

On selling 17 balls at 720, there is a loss equal to the cost price of 5 balls. The cost price (in ) of a ball is

a) 55

b) 50

c) 60

d) 45

Answer: (c)

Let C.P. of a ball = x

S.P. of 17 balls = Rs.720

17x - 720 = 5x

12x = 720 ⇒ x = Rs.60

Question : 3

An article is sold at a certain price. If it is sold at half of the previous selling price, then there is a loss of 25$1/2$ % . The profit after selling the article at the previous selling price is:

a) 12$3/4$%

b) 49%

c) 24$1/2$%

d) 51%

Answer: (b)

Let the C.P. of article be Rs.100 and its S.P. be Rs.x.

According to the question.

When S.P. = Rs.$x/2$

Loss per cent = ${100 - x/2}/100 × 100$

$100 - x/2 = 51/2$

$x/2 = 100 - 51/2 = {200 - 51}/2$

x = Rs.149

Required profit percent = 49%

Question : 4

Last year Mr. A bought two paintings. This year he sold them for Rs. 20,000 each. On one, he made a 25% profit and on the other he had a 25% loss. Then his net profit or loss is

a) He earned more than Rs. 2000

b) He lost less than Rs. 2000

c) He earned less than Rs. 2000

d) He lost more than Rs. 2000

Answer: (d)

C.P. of first painting

= ${20000 × 100}/125$ = Rs.16000

C.P. of second painting

= ${20000 × 100}/75$ = Rs.26666.7

Loss = Rs.(16000 + 26666.7 - 40000)

= Rs.2666.7

Question : 5

A man sold 250 chairs and had a gain equal to selling price of 50 chairs. His profit per cent is :

a) 50%

b) 25%

c) 15%

d) 20%

Answer: (b)

S.P. of 250 chairs - C.P. of 250 chairs

= S.P. of 50 chairs

S.P. of 200 chairs = C.P. of 250 chairs

profit%= ${250 - 200}/200 × 100 = 25%$

Using Rule 9,

Here, x = 250, y = 50

∴ Profit% = ${y × 100}/{x - y}$

= ${50 × 100}/{250 - 50} = 50/2$ = 25%

Question : 6

If by selling an article for Rs. 390 a shopkeeper gains 20%, then the cost price is

a) Rs. 350

b) Rs. 325

c) Rs. 300

d) Rs. 370

Answer: (b)

Let the C.P. of article be Rs.x.

According to the question,

$x × 120/100$ = 390

$x = {390 × 100}/120$ = Rs.325

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