Model 1 Basic Concepts of C.P and S.P Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

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

Questions : If there is a profit of 20% on the cost price, the per centage of profit on the sale price is

(a) 15$1/3$%

(b) 12 %

(c) 16$2/3$%

(d) 16 %

The correct answers to the above question in:

Answer: (c)

Cost price = Rs.x

S.P. = ${120x}/100$ = Rs.${6x}/5$

Gain = Rs.$x/5$

Required gain per cent = ${x/5}/{{6x}/5} × 100$

= $100/6 = 50/3 = 16{2}/3$%

Practice profit & loss (Model 1 Basic Concepts of C.P and S.P) Online Quiz

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Read more basic cp and sp Based Quantitative Aptitude Questions and Answers

Question : 1

The total cost of 8 buckets and 5 mugs is Rs.92 and the total cost of 5 buckets and 8 mugs is Rs.77. Find the cost of 2 mugs and 3 buckets.

a) Rs.30

b) Rs.70

c) Rs.35

d) Rs.38

Answer: (c)

C.P. of 1 bucket = x

C.P. of 1 mug = y

8x + 5y = 92 .....(i)

5x + 8y = 77 .....(ii)

By using equation (i) × 5 - equation (ii) × 8,

40x + 25y - 40x - 64y

= 460 - 616

- 39y = - 156 ⇒ y = 4

From equation (i),

8x + 20 = 92

8x = 92 - 20 = 72 ⇒ x = 9

C.P. of 2 mugs and 3 buckets

= 2 × 4 + 3 × 9

= 8 + 27 = Rs.35

Question : 2

If the cost price of an article is 80% of its selling price, the profit per cent is :

a) 24%

b) 22$1/2$%

c) 20 %

d) 25%

Answer: (d)

Using Rule 1,

S.P. = Rs.100; C.P. = Rs.80

Gain = Rs.20

∴ Gain per cent = $20/80 ×100$ = 25%

Question : 3

By what per cent must the cost price be raised in fixing the sale price in order that there may be a profit of 20% after allowing a commission of 10% ?

a) 33$1/3$%

b) 133$1/3$%

c) 25%

d) 30%

Answer: (a)

Let the CP = Rs.100

Then, SP = Rs.120

Let the marked price = Rs.x.

Then, 90% of x = Rs.120

x = ${120 × 100}/90 = 400/3 = 133{1}/3$%

Hence, the marked price is

$33{1}/3$% above the cost price.

Question : 4

By selling a car for Rs.64,000, Mr. Rao lost 20%. Then the cost price of the car is :

a) Rs.80,000

b) Rs.76,800

c) Rs.72,000

d) Rs.84,000

Answer: (a)

Using Rule 3,

Cost price = ${64000 × 100}/80$ = Rs.80000

Question : 5

By selling an article for Rs.960 a man incurs a loss of 4%; what was the cost price ?

a) Rs.498.4

b) Rs.784

c) Rs.1,000

d) Rs.300

Answer: (c)

Using Rule 3,
If an object is sold on r% Profit.

then,S.P. = C.P$[{100 + \text"Profit%"}/100]$
or
C.P. = S.P$[100/{100 + \text"Profit%"}]$

Similarly, If an object is sold on r% loss, then

S.P. = C.P.$[{100 - \text"Loss%"}/100]$
or
C.P. = S.P$[100/{100 - \text"Loss%"}]$

C.P. of article = $100/{100 - \text"loss per cent"}$ × S.P.

= $100/96 × 960$ = Rs.1000

Question : 6

If books bought at prices from Rs.150 to Rs.300 are sold at prices ranging from Rs.250 to Rs.350, what is the greatest possible profit that might be made in selling 15 books ?

a) Rs.4,250

b) Rs.750

c) Cannot be determined

d) Rs.3,000

Answer: (d)

Minimum cost price

= 150 × 15 = Rs.2250

Maximum selling price

= 350 × 15 = Rs.5250

Gain = 5250 - 2250 = Rs.3000

[150 being the lowest & 350 being the highest price]

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