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 %