model 2 gain lost percentage Section-Wise Topic Notes With Detailed Explanation And Example Questions

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

Questions : The cost price of 36 books is equal to the selling price of 30 books. The gain per cent is :

(a) 20%

(b) 16$4/6$%

(c) 82$2/6$%

(d) 18%

The correct answers to the above question in:

Answer: (a)

Using Rule 8,

If cost price of 'x' articles is equal to selling price of 'y' articles,
then Selling Price = x, Cost Price = y
Hence, Profit or Loss% = ${x - y}/y × 100$

Required profit = ${36 - 30}/30 × 100$ = 20%

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Read more gain lost percentage Based Quantitative Aptitude Questions and Answers

Question : 1

The cost price of 24 apples is the same as the selling price of 18 apples. The percentage of gain is :

a) 12$1/2$%

b) 14$2/3$%

c) 33$1/3$%

d) 16$2/3$%

Answer: (c)

Let the CP of 1 apple = Rs.1

CP of 18 apples = Rs.18

SP of 18 apples = Rs.24

Gain percent = $6/18 × 100 = 100/3 = 33{1}/3%$

Using Rule 8,

Here, x = 24, y = 18

Gain % = $({x - y}/y) × 100$

= ${24 - 18}/18 × 100 = 6/18 × 100 = 33{1}/3%$

Question : 2

If the selling price of 10 articles is equal to the cost price of 11 articles, then the gain percent is

a) 10%

b) 11%

c) 25%

d) 15%

Answer: (a)

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

C.P. of 10 articles = Rs.10

and S.P. of 10 articles = Rs.11

Profit percent = ${11 - 10}/10 × 100$ = 10%

Using Rule 8,

Here, x = 11, y = 10

Profit % = $({x - y}/y) × 100$

= ${11 - 10}/10 × 100 = 100/10$ = 10%

Question : 3

The selling price of 5 articles is the same as the cost price of 3 articles. The gain or loss percent is :

a) 20% gain

b) 25% gain

c) 40% loss

d) 33.33% loss

Answer: (c)

Let C.P. be Rs.1

C.P. of 3 articles = Rs.3 = S.P. of P. of 5 articles.

Loss% = $({5 - 3})/5 × 100$ = 2 × 20 = 40%

Using Rule 8,

Here, x = 3, y = 5

Loss % = $({x - y}/y) × 100$

$({3 - 5}/5) × 100$ = - 40%

(–ve sign shows loss)

= 40 %

Question : 4

If the cost price of 18 articles is equal to the selling price of 16 articles, the gain or loss is

a) 25% gain

b) 25% loss

c) 12$1/2$% gain

d) 12$1/2$% loss

Answer: (c)

Percentage profit = ${18 - 16}/16 × 100$

= $25/2 = 12{1}/2$%

Using Rule 8,

Here, x = 18, y = 16

Gain % = $({x - y}/y) × 100$

= ${18 - 16}/16 × 100$

= $2/16 × 100 = 25/2 = 12{1}/2$%

Question : 5

The cost price of 40 articles is the same as the selling price of 25 articles. Find the gain per cent.

a) 65%

b) 60%

c) 75%

d) 15%

Answer: (b)

Gain per cent

= ${40 - 25}/25 × 100 = 15/25 × 100 = 60%$

Using Rule 8,

Here, x = 40, y = 25

Gain % = $({x - y}/y) × 100$

= ${40 - 25}/25 × 100 = 15/25 × 100$ = 60%

Question : 6

The cost price of 25 articles is equal to the selling price of 20 of them. The gain or loss percent is given by

a) 20% loss

b) 25% gain

c) 75% gain

d) 60% loss

Answer: (b)

Percentage profit = ${25 - 20}/20 × 100$ = 25%

Using Rule 8,

Here, x = 25, y = 20

Gain % = $({x - y}/y) × 100$

= ${25 - 20}/20 × 100 = 500/20$ = 25%

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GET profit & loss PRACTICE TEST 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
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