SSC CGL 20191)A person marks his goods x% above the cost price and allows a discount of 30% on the market price. If his profit is 5%, then the value of x will be :
50
let the cost price be 100.
Profit = 5%;
Selling price = 105;
Discount = 30%;
Selling price = 70%;
Marked price =\( \frac{105}{70} \times 100\) = Rs.150;
x% =\( \frac{150 - 100}{100} \times 100 = \frac{50}{100} \times 100 \)= 50%
SSC CGL 20192)Anu sold an article for Rs.480 at some profit. Had she sold it for Rs.400, then there would have been a loss equal to one third of the initial profit. What was the cost price of the article?
Rs.420
Let the profit be x when Anu sold at Rs.480.
Loss of Anu when she sell an article on Rs. 400 = x/3;
Difference of selling price = 480 - 400;
x + x/3 = 80;
4x/3 = 80;
x = Rs. 60;
Cost price of an article = 480 - 60 = Rs.420
SSC CGL 20193)A shopkeeper allows 28% discount on the marked price of an article and still makes a profit of 20%. If he gains Rs. 30.80 on the sale of one article, then what will be the cost price of the article?
Rs. 154
Let the cost price be 100%.
Profit = 20%;
20% = 30.8;
Cost price(100%) = \(\frac{30.8}{20} \times 100\) = Rs. 154
SSC CGL 20164)When an article is sold for Rs.355, there is a loss of 29%. To gain 21%, it should be sold for Rs. :
605
Selling price = 355;
Loss = 29%;
Cost price =\( \frac{355}{100 - 29} \times 100 = \frac{355}{71} \times 100 \)= Rs.500;
For 21% gain,
Selling price = \(500 \times \frac{121}{100}\) = Rs.605
SSC CGL 20165)An article is sold at a certain price. If it is sold at \(33\frac{1}{3}\%\) of this price, there is a loss of \( 33\frac{1}{3}\%\) What is the percentage profit when it is sold at 60% of the original selling price?
20
Let the selling price of an article be Rs.100.
Now,
Selling price = \(100 \times 1/3 \) = 33.33;
Loss = \(33\frac{1}{3}\)\%;
(100 - 33.33)% of the cost price = 33.33;
66.67% of the cost price = 33.33;
Cost price =\( \frac{33.33}{66.67} \times 100\) = 50;
60% of the original selling price = 60;
Profit = 60 - 50 = 10;
Profit percentage =\( \frac{10}{50} \times 100 \)= 20%
SSC CGL 20196)35% of goods were sold at a profit of 65%, while the remaining were sold at x% loss. If the overall loss is 12%, then what is the value of x ? (correct to one decimal place)
53.5
Let the goods be 100. \(35\times{165\over100}+{65(100-x)\over100}=88\) ;x = 53.46=53.5
SSC CGL 20197)An article was sold at a profit of 14%. Had it been sold for ₹121 less, a loss of 8% would have been incurred. If the same article had been sold for ₹536.25, then the profit/loss per cent would have been:
Loss, 2.5%
SSC CGL 20198)A shopkeeper allows 18% discount on the marked price of an article and still makes a profit of 23%. If he gains ₹18.40 on the sale of the article, then what is the marked price of the article?
₹120
SSC CGL 20169)A person buys 80 kg of rice and sells it at a profit of as much money as he paid for 30 kg. His profit percent is:
\(37\frac{1}{2}\)%
Let the man has purchased the Rice at price of Re.1/ Kg;
Cost Price of 80 Kg = Rs 80;
Profit = Rs30;
Profit % = \({30 \over 80}\times100 = 37.5\);
SSC CGL 201910)The marked price of an article is ₹1500. If two successive discounts, each of x%, on the marked price is equal to a single discount of ₹587.40, then what will be the selling price of the article if a single discount of x% is given on the marked price?
₹1,170
Selling price = marked price - discount = 1500 - 587.4 = Rs.912.6 ;
selling percentage = \(\sqrt{{912.6} \over 1500} = {39 \over 50}\)%