Problems on Profit and loss

A man buys a cycle for Rs.1400/- and sells it at a loss of 15%. What is the selling price of the cycle?

Solution:

Selling price of the cycle = 1400 x (100-15)/100

= 1400 x 85/100 =  Rs.1190/-.

On selling an article for Rs.651/-.there is a loss of 7%. The cost price of that article is.

Solution:

(100-7)% = 651

100 % =?

≡ (100 x 651)/93  = 65100/93 = Rs.700/-.

If an article is sold at 5% gain instead of 5% loss, the man gains Rs.5 more. Find the cost price of that article.

Solution:

(5 +5) % = 5

100 % =?

≡ (100 x 5)/ 10 = Rs. 50/-.

By selling a tape-recorder for Rs.950/-, Ramu lose 5%. What percent shall Ramu gain by selling it for Rs.1040?

Solution:

Cost price of the tape recorder = (100/95) x 950 = Rs.1000/-.

Gain = 1040- 1000 = Rs.40/-.

% Gain = (40/1000) x 100 = 4 %.

By selling an article, a man makes a profit of 25% of its selling price. His profit percent is

Solution:

If the selling price of an article be Rs. X.

Then its Cost Price = x – x/4 = 3x/4.

Therefore, Gain percent = (x/4)/(3x/4) x 100 = 100/ 3 = 33 1/3 %

Problems on Percentages, Objective Arithmetic,

The difference between 78 % of a number and 59 % of the same number is 323. What is 62 % of that number?

Solution :-

78% -59%= 323

 19% = 323

62% = (62 x 323)/19     = 1054

In an Examination it is required to get 296 marks out of the aggregate marks to pass. A student gets 222 marks and is declared failed by 10 % marks .What are the maximum aggregate marks a student can get?

Solution :-

10% of total marks = 296-222 = 74

Therefore, total marks  = 740.

Devan invests Rs.2,34,558, which is 25% of his annual income, in National Saving Schemes. What is his monthly income?

Solution :-

Annual income of Devan = 234558 x 4  = Rs.938232/-

Monthly income of Devan = 938232/ 12 = Rs.78186./-.

In an examination Utsav scores a total of 367 marks out of 545. What is his approximate percentage in the examination?

Solution :-

Approximate percentage = 367/545 x 100

= 67.34%.

Solved Questions from Postal Assistant Exam-2013

Tarun travels a distance of 24km at 6 km/hr another distance of 24km at 8 km/hr and a third distance of 24 km at 12 km/hr. His average speed for the whole journey (in km/hr) is
(A) 8 2/3
(B) 8
(C) 9
(D) 7
Ans. (B) 8

Solution:

 Time taken by Tarun to travel 24 km at 6 km/hr = 24/6 = 4 hrs.

Time taken by Tarun to travel 24 km at 8 km/hr = 24/8 = 3 hrs.

Time taken by Tarun to travel 24 km at 12 km/hr = 24/12 = 2 hrs.

 Avarage speed = Total Distance /Total Time = 24+24+24/4+3+2 = 72/9= 8hrs.

**************************************************************************

 13 chairs and 5 tables were brought for 8280. If the average cost of the table will be 1227, what is the average cost of a chair?
(A) 2145
(B) 165
(C) 175
(D) None of these
Ans. (B) 165

Solution:

The total cost of 5 tables = 1227 x 5 =6135.

The cost of 13 chairs = 8280 – 6135 = 2145.

Therefore, the average cost of a chair = 2145/13 = 165.