RRB NTPC - Profit and Loss

121.

A man sold 18 cots for Rs.16800, gaining thereby the cost price of 3 cots. Find the cost price of a cot.? 

   A.) 600
   B.) 800
   C.) 900
   D.) 1000

Answer: Option 'B'

Let the cost of one cot = x
Then CP of 18 cots = 18x; given, SP of 18 cots = 16800
Gain = 3x
i.e. 16800 – 18x = 3x and 21x = 16800; :. x= 800
So, the cost of one cot = 800.

122.

The price of 28 chairs is equal to that of 6 tables. The price of 18 chairs and 3 tables together is Rs.4800. The total price of 15 chairs and 6 tables is 

   A.) Rs.7450
   B.) Rs.6850
   C.) Rs.6450
   D.) Rs.1940

Answer: Option 'C'

Let ‘x’ be the cost of a chair and ‘y’ be the cost of a table
Then, 28x = 6y; and 18x + 3y = 4800; y= 28x/6
18x + 3×28x/6 = 4800; i.e. 32x = 4800 and so, x = the cost of one chair = Rs.150 and the cost of one
table = y =Rs.700.
:. The total price 15 chairs and 6 tables = 15 × 150 + 6 × 700 = Rs. 6450.

123.

A book-seller bought 200 textbooks for 12000. He wanted to sell them at a profit so that he got 20 books free. At what profit per cent should he sell them? 

   A.) 10
   B.) 11 1/9 %
   C.) 11
   D.) 11.1

Answer: Option 'B'

Here, the profit = CP of 20 books out of 180 books and
now the CP of 180 books = 12000.
:. The profit percent = 20 × 100/180 = 11 1/9 %

124.

By selling an article for Rs.240, a person loses 20%. To gain 20%, he should sell it for 

   A.) Rs.360
   B.) Rs.288
   C.) Rs.280
   D.) Rs.300

Answer: Option 'A'

Here, the Selling price = 80% of the Cost price = Rs.240
Therefore, the cost price = 240 × 100/80 = Rs.300.
To get a gain of 20% he should sell it for Rs. 360.

125.

A gold bracelet is sold for Rs.13425 at a loss of 25%. What is the cost price of the bracelet? 

   A.) Rs.15900
   B.) Rs.17900
   C.) Rs.18000
   D.) Rs.16800

Answer: Option 'B'

SP i.e. Rs.13425 is 75% of CP
:. CP = 13425 x 100/75 = Rs.17900/-

126.

The cost of 36 Microwaves and 12 Cookers is Rs.84126. What is the cost of 6 microwaves and 2 Cookers? 

   A.) Rs.14021
   B.) Rs.15291
   C.) Rs.16131
   D.) Cannot be determined

Answer: Option 'A'

Cost of 36 microwaves + 12 cookers = Rs.84126.
Dividing each term by 6, we get
6 microwaves + 2 colours = Rs.14021.

127.

Two motor cars were sold for Rs.9900 each gaining 10% on one and losing 10% on the other. The gain or loss percent in the whole transaction is 

   A.) Neither loss nor gain
   B.) 1% profit
   C.) 100/99% profit
   D.) 1% loss

Answer: Option 'D'

I. S. P = Rs.9900; i.e. 110% of CP => CP = 9900 × 100/110 = Rs.9000
II. SP = 9900; i.e. 90% of CP => CP = 9900 × 100/90 = Rs.11000. So, Total CP = Rs.20000; 
Total SP = Rs.19800; :. Loss = 200 × 100/20000 = 1% loss.

128.

A shopkeeper purchase 12 balloons for 10 and sells them at balloons for 12. Thus, earns a profit of 

   A.) 35%
   B.) 36%
   C.) 44%
   D.) 45%

Answer: Option 'C'

CP of 12 balloons = 10;      SP of 12 balloons = 12 × 1.2 = 14.4 '
(i.e. SP of 1 balloon = 1.2); So actual gain = 14.4 – 12 = 4.4'
:. Profit per cent = 4.4/10 × 100 = 44%

129.

A man sells an article at 10% gain. Had be sold at for Rs.60/- more he could have gained 20% what is cost price of article

   A.) Rs.500/-
   B.) Rs.600/-
   C.) Rs.700/-
   D.) Rs.800/-

Answer: Option 'B'

First selling price = 110 % -----> X Rupees 
=sold at for Rs.60/- = 120 % -----> X + 60 Rupees 

                          ~
----------------------------------------------
         10 % --------> 60
         100 % ------->Rs.600/- 
OR 
Short cut method : 
---------------------------
Profit,Profit = - 
Ptofit,Loss = + 
Loss,Loss = - 
Loss,Profit = + 
---------------------------
OPPOSITE ==> + 
SAME ===> - 
----------------------------
Profit ==> 10 % 
profit ==> 20% 
       ~
----------------
       10 % ---------> 60
       100 % --------> Rs.600/-

130.

A chair is bought for Rs.600/- and sold at a loss of 10% find its selling price

   A.) Rs.540/-
   B.) Rs.560/-
   C.) Rs.580/-
   D.) Rs.600/-

Answer: Option 'A'

100 % ------> 600 (100 × 6 = 600) 
90 % ------> 540 (90 × 6 = 540) 
Selling price = Rs.540/-

131.

If 4 men or 6 boys can finish a work in 20 days. How long will 6 men and 11 boys take to finish the same work? 

   A.) 10 days
   B.) 6 days
   C.) 4 days
   D.) 3 days

Answer: Option 'B'

4 men = 6 boys 
Then, 1 boy = 4/6 men = 2/3 men 
11 boys = 2/3 × 11 men = 22/3 men 
Then, 6 men + 11 boys = 6 + 22/3 men = 40/3 men 
1 work done = 4 men × 20days 
That is, 4 × 20 = 40/3 × ? days
? days = 4 × 20 × 3/40 = 6 days

132.

The total cost of 15 pencils and 25 sharpeners is Rs.170. What will be the cost of 57 pencils and 95 sharpeners? 

   A.) Rs.640
   B.) Rs.646
   C.) Rs.656
   D.) Rs.636

Answer: Option 'B'

Cost of 15 pencils + 25 sharpeners = Rs.170
Dividing each term by 5, we get,
Cost of 3 pencils + 5 sharpeners = Rs.34
Multiplying each term by 19, we get
Cost of 57 pencils + 95 sharpeners = 34 x 19 = Rs.646.

133.

A gold bracelet is sold for 14500 at a loss of 20%. What is the cost price of the gold bracelet? 

   A.) 18125
   B.) 17400
   C.) 15225
   D.) 16800

Answer: Option 'A'

The SP of the gold bracelet is 80% of the CP.
:. CP = 14500 × 100/80 = 18125.

134.

A single discount equivalent to successive discount of 20%, 10% is 

   A.) 72%
   B.) 28%
   C.) 32%
   D.) 76%

Answer: Option 'B'

(90 × 80)/100 = Rs.72/- 
100 - 72 = 28 % = Discout

135.

Manoj incurred a loss of 40% on selling an article for 5700. What was the cost price of the article? 

   A.) 7725
   B.) 9080
   C.) 8250
   D.) 9500

Answer: Option 'D'

Here, the Selling price only 60% of the Cost price;
So, Cost Price = 5700 × 100/60 = 9500.


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