 ## Monday, 12 October 2015

1.  An article is sold for Rs.300 at a profit of 20%. Had it been sold for Rs.235, the loss percentage
would have been
(a) 3%   (b) 5%   (c) 6%   (d) 16%
Solution: (c ) Let the cost price of article =.
Then 120% of x=300
= 300 Therefore x= =. 250
Now SP = 235
Then ,loss percentage = × 100 =6%

2.  Meena purchased two fans each at Rs.1200. She sold one fan at the loss of 5% and other at the
gain of 10% . Find total gain or loss percent.
(a) 1.2% loss    (b) 1.2% profit   (c) 2.5% profit   (d) 2.5% loss
Solution (c ).
Total CP= 2 x 1200= Rs. 2400
SP at 5% loss =  × 1200 = . 1140
SP at 10% gain =  × 1200 = . 1320
Total SP = 1140 + 1320 = Rs. 2460
Therefore Gain = 2460 - 2400 = Rs.60
Therefore Gain % = × 100% = 2.5%

3.  The difference between the CP and SP of an article is Rs.240. If the profit is 20%,the selling price is
(a) Rs.1440  (b) Rs.1400  (c) Rs.1240  (d) Rs.1200
Solution (a )
Given Gain % = 20
Difference between SP and CP = 240
Now ,gain % = × 100 20 = × 100
CP = 240 × 5
CP = 1200
Therefore SP = 1200 + 240 =1440

4.  If the difference between the selling prices of an article at profit of 6% and 4% is Rs.3 ,then the cost
price of the article should be
(a) Rs.100  (b) Rs.150  (c) Rs.175  (d) Rs.200
Solution ( b).
Let CP = x
According to the question, =3 =3
Therefore x = . 150
Direct Approach
According to the question, (5% - 4% ) =3 = 2% =3
= (2 x 50)% =3 x 50
Therefore 100% = Rs.150

5.  A person sold his watch for Rs.75 and got a percentage profit equal to the cost price . The cost
price of the watch is
(a) Rs.40  (b) Rs.45    (c) Rs.50   (d) Rs.55
Solution (c ).
Let CP of the watch be Rs. x. Then ,According to the question.
= ( 75 – x) × 100 =
= + 100 − 7500 = 0
+ 150 − 50 − 7500 = 0
= x + 150) – 50  + 150) = 0)
= + 150) − 50)=0 = x = Rs.50