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 :

Correct Option: A

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?

Correct Option: D

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?

Correct Option: D

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. :

Correct Option: C

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?

Correct Option: A

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)

Correct Option: C

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:

Correct Option: C

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?

Correct Option: C

₹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:

Correct Option: D

\(37\frac{1}{2}\)%

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?

Correct Option: C

₹1,170

Selling price = marked price - discount = 1500 - 587.4 = Rs.912.6 ;

selling percentage = \(\sqrt{{912.6} \over 1500} = {39 \over 50}\)%

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