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 : 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

The correct answers to the above question in:

Answer: (c)

Let C.P. of a ball = x

S.P. of 17 balls = Rs.720

17x - 720 = 5x

12x = 720 ⇒ x = Rs.60

Practice profit & loss (model 3 gain/loss % with C.P/S.P) Online Quiz

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

Question : 1

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 : 2

A clock was sold for 144. If the percentage of profit was numerically equal to the cost price, the cost of the clock was

a) 90

b) 80

c) 100

d) 72

Answer: (b)

Let the cost price be x.

(100 + x)% of x = 144

(100 + x)x = 14400

$x^2 + 100x - 14400$ = 0

$x^2 + 180x - 80x - 14400$ = 0

x(x + 180) - 80 (x + 180) = 0

(x + 180) (x - 80) = 0

x = Rs.80 [x ≠180]

Question : 3

By selling 1 dozen ball pens, a shopkeeper earned the profit equal to the selling price of 4 ball pens. His profit per cent is

a) 33$1/3$%

b) 40%

c) 31$1/4$%

d) 50%

Answer: (d)

SP of 12 ball pens = CP of 12 ball pens + SP of 4 ball pens.

SP of 8 ball pens = CP of 12 ball pens

Gain per cent = $4/8 × 100 = 50%$

Using Rule 9,

Here, x = 12, y = 4

∴ Profit% = ${y × 100}/{x - y}$

= ${4 × 100}/{12 - 4}$ = 50%

Question : 4

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 : 5

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

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

Question : 6

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

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