model 3 gain/loss % with C.P/S.P Practice Questions Answers Test with Solutions & More Shortcuts

profit & loss PRACTICE TEST [11 - EXERCISES]

Model 1 Basic Concepts of C.P and S.P

model 2 gain lost percentage

model 3 gain/loss % with C.P/S.P

model 4 sold & brought

model 5 marked price

model 6 sold in circular path

model 7 sold at loss

model 8 two article sold in different rates

model 9 selling an article & interchanging its values

model 10 reduced/increased price of an article

model 11 ratio & partnership

profit & loss Important Formulas, Rules, Concepts & Shortcuts

Question : 11 [SSC CGL Prelim 2007]

By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss per cent is

a) 9%

b) 3%

c) 4$1/2$%

d) 4%

Shortcut »

Answer: (d)

CP of 144 hens - SP of 144 hens = Loss = SP of 6 hens

SP of 150 hens = CP of 144 hens

Let CP of each hen = Rs.1

CP of 150 hens = Rs.150

SP of 150 hens = Rs.144

Loss% = $6/150$ × 100 = 4%

Using Rule 9, On selling 'x' articles the profit or loss is equal to Selling of 'y' articles, then Profit% ${y × 100}/{x + y}$Loss% = ${y × 100}/{x + y}$

Here, x = 144, y = 6

∴ Loss% = ${y × 100}/{x + y}$

= $600/{144 + 6}$

= $600/150$ = 4%

Question : 12 [SSC CHSL 2013]

A vendor loses the selling price of 4 oranges on selling 36 oranges. His loss per cent is

a) 10%

b) 9%

c) 11$1/2$%

d) 12$1/2$%

Shortcut »

Answer: (a)

S.P. of 36 oranges

= C.P. of 36 oranges - S.P. of 4 oranges

S.P. of 40 oranges = C.P. of 36 oranges

Loss per cent = $4/40 × 100 = 10%$

Using Rule 9,

Here, x = 36, y = 4

Here, loss % = ${y × 100}/{x + y}$

= ${4 × 100}/{36 + 4}$ = 10%

Question : 13 [SSC CGL Tier-I 2016]

If the cost price of 28 articles is equal to the sale price of 21 articles, then the percentage of profit is :

a) 20%

b) 33$1/3$%

c) 22%

d) 12%

Shortcut »

Answer: (b)

Let the C.P. of each article be Re. 1.

C.P. of 21 articles = Rs. 21

S.P. of 21 articles = Rs. 28

∴ Profit per cent = ${28 - 21}/21 × 100$

= $100/3 = 33{1}/3%$

Question : 14 [SSC Constable 2012]

If the profit on selling an article for 425 is the same as the loss on selling it for 355, then the cost price of the article is

a) 390

b) 380

c) 400

d) 370

Shortcut »

Answer: (a)

Let the C.P. of article be x,

then, 425 - x = x - 355

2x = 425 + 355 = 780

x = $780/2$ = Rs.390

Question : 15 [SSC CPO S.I.2008]

If the profit per cent got on selling an article is numerically equal to its cost price in rupees and the selling price is 39, then cost price (in ) will be

a) 28

b) 22

c) 30

d) 20

Shortcut »

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$[100/{100 - \text"Loss%"}]$

Let the CP of the article be x Gain % = x%

${39 - x}/x × 100$

$3900 - 100x = x^2$

$x^2 + 100x - 3900$ = 0

$x^2 + 130x - 30x - 3900$ = 0

x (x + 130) - 30 (x + 130) = 0

(x - 30) (x + 130) = 0

x = 30 as x cannot be negative

IMPORTANT quantitative aptitude EXERCISES

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