RRB NTPC - Profit and Loss

1.

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%

2.

Anuradha sold 2 books at 1.40 each. Her profit on one was 20% and her loss on the other was 20%. Then, she

   A.) Made no loss no gain
   B.) Gained 20-paise
   C.) Lost 12-paise
   D.) Lost 20-paise

Answer: Option 'C'

If there is a profit of x% and a loss of y%, 
then the resultant profit or loss = x-y – x y/100%
So, the resultant profit or loss = 20 – 20 - 20×20/100 = -4%. ( ‘-‘ means loss)
Total SP = 2.80, which equals to 96% of CP of 2 books.
.: CP of 2 books = 2.80 × 100/96 = 2.92; :. Loss = 2.92 – 2.80 = .12 = 12paise.

3.

A works twice as fast as B. if B can complete a work in 12 days independently. The number of days in which A and B can together finish the work? 

   A.) 18 days
   B.) 8 days
   C.) 6 days
   D.) 4 days

Answer: Option 'D'

If B takes 12 days to finish the work, then A takes 6 days to finish the same work. 
If A can complete a work in x days and B can complete the same work in y days, then, both 
of them together can complete the work in x y/ x+ y days. 
Therefore, the Number of days taken by A and B together to finish the same work = 6 × 12/18 
= 4 days.

4.

Gina invests Rs.48000/- to start a business, 4 months later Shrayon joins her by investing Rs.62000/- and another two months later Deepika joins them both by investing Rs.80000/-. At the end of one year thebusiness earns a profit of Rs.20661/-. What is Deepika’s share in the profit? 

   A.) Rs.7668/-
   B.) Rs.6603/-
   C.) Rs.7240/-
   D.) Rs.6390

Answer: Option 'D'

Ratio of investments & Profits 
Gina      = 48000 x 12  = 36
Shrayon =  62000 x 8  = 31
Deepika = 80000 x 6   = 30
Sum of Ratio =97
:. Share of Deepika = 20661 x 30/97 = Rs.6390.

5.

A man sells an article at 7% loss. Had he sold it for Rs.72 more he could have gained 5%. what is the cost price of the article 

   A.) Rs.522/-
   B.) Rs.622/-
   C.) Rs.722/-
   D.) Rs.600/-

Answer: Option 'D'

Short cut method: 
Loss =====> 7 % 
Profit ====> 5 % 
~
----------------
12 % ---------> 72
100 % --------> Rs.600/-

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