Aptitude - Profit and Loss
6.
If an article is sold at a gain of 5% instead of being sold at a loss of 5%, one gets Rs. 5 more. What is the cost price of the article ?
Answer
Let the C.P. be Rs. x. Then,
∴ 105100x − 95100x = 5
⇒ 105x − 95x = 500 ⇒ 10x = 500 ⇒ x = 50
∴ C.P. = Rs. 50
Answer :
Option DExplanation :
Let the C.P. be Rs. x. Then,
∴ 105100x − 95100x = 5
⇒ 105x − 95x = 500 ⇒ 10x = 500 ⇒ x = 50
∴ C.P. = Rs. 50
7.
Nita blends two varieties of tea - one costing Rs. 180 per kg and another costing Rs. 200 per kg in the ratio 5 : 3. If she sells the blended variety at Rs. 210 per kg, then her gain is :
Answer
Let 5 kg of cheaper be mixed with 3 kg of dearer.
Then, Total C.P. = Rs. (180 x 5 + 200 x 3) = Rs. 1500
Total S.P. = Rs. (210 x 8) = Rs. 1680
Gain % =
1801500 x 100 
% = 12%
Answer :
Option CExplanation :
Let 5 kg of cheaper be mixed with 3 kg of dearer.
Then, Total C.P. = Rs. (180 x 5 + 200 x 3) = Rs. 1500
Total S.P. = Rs. (210 x 8) = Rs. 1680
Gain % =
1801500 x 100 % = 12% 8.
Successive discounts of 10% and 20% are equivalent to a single disocunt of :
Answer
Let C.P. be Rs. 100. Then,
S.P. = 90% of 80% of Rs. 100 = Rs. 90100 x 80100 x 100 = Rs. 72
∴ Single Discount = (100 − 72)% = 28%
Answer :
Option BExplanation :
Let C.P. be Rs. 100. Then,
S.P. = 90% of 80% of Rs. 100 = Rs.
90100 x 80100 x 100 = Rs. 72∴ Single Discount = (100 − 72)% = 28%
9.
A trader's marked price is 30% above cost price. He allows his customers 10% discount on the marked price. What profit does he make ?
Answer
Let C.P. be Rs. 100. Then M.P. = Rs. 130
S.P. = 90% of Rs. 130 = Rs. 90100 x 130 = Rs. 117
∴ Gain % = (117 − 110)% = 17%
Answer :
Option BExplanation :
Let C.P. be Rs. 100. Then M.P. = Rs. 130
S.P. = 90% of Rs. 130 = Rs.
90100 x 130 = Rs. 117∴ Gain % = (117 − 110)% = 17%
10.
A dry-fruit seller mixes three varieties of walnuts costing 50, 20 and 30 per kg in the ratio 2 : 4 : 3 in terms of weight and sells the mixture at 33 per kg. What percentage of profit does he make ?
Answer
Let 2x, 4x and 3x kg of three varieties be mixed.
Then, C.P. = Rs. [(2x x 50) + (4x x 20) + (3x x 30)] = Rs. 270x
S.P. = Rs. [(2x + 4x + 3x) x 33] = Rs. 297x
Gain % = 27x270x x 100 % = 10%
Answer :
Option CExplanation :
Let 2x, 4x and 3x kg of three varieties be mixed.
Then, C.P. = Rs. [(2x x 50) + (4x x 20) + (3x x 30)] = Rs. 270x
S.P. = Rs. [(2x + 4x + 3x) x 33] = Rs. 297x
Gain % =
27x270x x 100 % = 10% Jump to page number :