Aptitude - Profit and Loss
16.
The cost price of 2 dozen bananas is Rs. 32. After selling 18 bananas at Rs. 12 per dozen, the shopkeeper reduced the rate as Rs. 4 per dozen. The loss percent is :
Answer
C.P. of 2 dozen bananas = Rs. 32
S.P. of 18 bananas i.e. 1.5 dozen bananas = Rs. (1.5 x 12) = Rs. 18
S.P. of 6 bananas i.e. 0.5 bananas = Rs. (0.5 x 4) = Rs. 2
Total S.P. of 2 dozen bananas = Rs. (18 + 2) = Rs. 20
Loss = Rs. (32 − 20) = Rs. 12
Loss % =
1232 x 100 
% = 37.5%
Answer :
Option DExplanation :
C.P. of 2 dozen bananas = Rs. 32
S.P. of 18 bananas i.e. 1.5 dozen bananas = Rs. (1.5 x 12) = Rs. 18
S.P. of 6 bananas i.e. 0.5 bananas = Rs. (0.5 x 4) = Rs. 2
Total S.P. of 2 dozen bananas = Rs. (18 + 2) = Rs. 20
Loss = Rs. (32 − 20) = Rs. 12
Loss % =
1232 x 100 % = 37.5% 17.
A sold a watch to B at 20% gain and B sold to C at a loss of 10%. If C bought the watch for Rs. 216, at what price did A purchase it ?
Answer
Suppose A purchased it for Rs. x. Then, x x 120100 x 90100 = 216
⇒ 108x = 21600 ⇒ x = 200
∴ A purchsed it for Rs. 200
Answer :
Option AExplanation :
Suppose A purchased it for Rs. x. Then, x x 120100 x 90100 = 216
⇒ 108x = 21600 ⇒ x = 200
∴ A purchsed it for Rs. 200
18.
An uneducated retailer marks all his goods at 50% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is the actual gain percent ?
Answer
Let the C.P. be Rs. 100. Then, M.P. = Rs. 150
S.P. = 75% of Rs. 150 = Rs. 75100 x 150 Rs. 112.50
∴ Gain% = Rs. (112.50 − 100)% = 12.5%
Answer :
Option AExplanation :
Let the C.P. be Rs. 100. Then, M.P. = Rs. 150
S.P. = 75% of Rs. 150 = Rs.
75100 x 150 Rs. 112.50∴ Gain% = Rs. (112.50 − 100)% = 12.5%
19.
By using a false weight, a dealer defrauds his customers by 5% in purchasing and 5% in selling. His gain percent is :
Answer
Gain % = (100 + Common Gain%)2100 − 100
=
(100 + 5)2100 − 100 
= (105)2 − (100)2100 = 205 x 5100 % = 10.25%
Answer :
Option CExplanation :
Gain % = (100 + Common Gain%)2100 − 100
=
(100 + 5)2100 − 100 = (105)2 − (100)2100 = 205 x 5100 % = 10.25% 20.
On reducing the marked price of an article by 32, a shopkeeper gains 15%. If the cost price of the article be 320 and it is sold at the marked price, what will be the gain percent ?
Answer
C.P. = Rs. 320, Gain = 15%
∴ S.P. = Rs. 320 x 115100 = Rs. 368
M.P. = Rs. (368 + 32) = Rs. 400 ⇒ New S.P. = Rs. 400
Gain % = 80320 x 100 % = 25%
Answer :
Option CExplanation :
C.P. = Rs. 320, Gain = 15%
∴ S.P. = Rs.
320 x 115100 = Rs. 368M.P. = Rs. (368 + 32) = Rs. 400 ⇒ New S.P. = Rs. 400
Gain % =
80320 x 100 % = 25% Jump to page number :