SSC CGL 202021)A man wanted to sell his bat at a discount of 8%. His brother who was a cricketer wanted to buy the bat, so the man sells it at a discount of 10%. In this deal, the man reduces Rs.70 in profit. What was the market value of the bat?
Rs. 3,500
Let the marked price of the bat be 100%.
Profit reduce = Rs.70;
Man reduces profit because he increase in the discount.
Difference in discount = 70;
10% - 8% = 70;
Marked price(100%) = \({70\over2}\times100\) = Rs.3500
SSC CGL 202022)A shopkeeper buys two books for Rs.300. He sells the first book at a profit of 20% and the second book at a loss of 10%. What is the selling price of the first book, if, in the whole transaction there is no profit or no loss?
Rs. 120
Let the cost price of first book be Rs.x.
Cost price of second book = 300 - x;
According to question, 120% of x + 90% of (300 - x) = 300; \({120x\over100}+{(300-x)90\over100}=300\); 120x + 90 x 300 - 90x = 30000; 30x = 30000 - 27000; 30x = 3000; x = Rs. 100;
Selling price of the first book = 120% of 100 = Rs.120
SSC CGL 202023)A cell phone was marked at 20% above the cost price and a discount of 10% was given on its marked price. What is the profit percentage?
8%
Let the cost price be 100.
Marked price = 100 X 120/100 = 120;
Discount = 10%;
Selling price = \(120 \times 90/100\) = 108;
Profit = 108 - 100 = 8;
Profit percentage = \({8\over 100}\times 100\) = 8%
SSC CGL 202024)A trader marks his goods at 60% above the cost price and allows a discount of 25%. What is his gain percent?
20%
Let the cost price of An article be Rs. 100.
Marked price = 160% of 100 = Rs. 160;
Discount = 25%;
Selling price = 160 = Rs. 120;
Gain = \(\frac{120 - 100}{100} \times 100 \)= 20%
SSC CGL 202025)A man sold two gifts at ₹30 each. On one gift he gained 18%, and on the other gift he lost 18%. What is his over all gain/loss (in ₹)?
Loss of ₹2.00
Total selling price of two gifts = 30 + 30 = Rs. 60;
Total cost price =\({30\times 100\over118}+{30\times100\over82} = Rs. 62\); ⇒ C.P. >S.P. ;
Loss = Rs.(62-60) = Rs.2
SSC CGL 202026)The cost price of goods, for a shopkeeper, was Rs. X. He marked them at 15% above the cost price. Finally, he sold the goods at a discount of 25%. What is his profit/loss percentage ?
13.75% Loss
C.P. of article = Rs. X = Rs. 100; Its marked price = Rs. 115; Its S.P. = \(115\times75\over100\) = Rs. 86.25; Loss = Rs. (100 - 86.25) = Rs.13.75; Loss = 13.75%
SSC CGL 202027)While selling an article of marked price Rs. 5,040 at a discount of 40%, if a trader gains 20%, then the profit in Rs.is:
Rs. 504
Let the cost price be Rs. x. According the question, 120% of x = 60% of 5040; ⇒ x = Rs. 2520; Profit = 20% of 2520 = Rs. 504
SSC CGL 202028)By selling 18 table fans for Rs. 11,664 a man incurs a loss of 10%. How many fans should he sell for Rs. 17,424 to earn 10% profit?
22
Selling price of 18 table fans = 11664; Loss = 10%;
Cost price of 18 table fans = \(11664 \times \frac{100}{90}\) = 12960;
Cost price of 18 table fan = 12960/18 = 720;
When profit is 10% then selling price = 17424;
Cost price for n table fans = \(17424 \times \frac{100}{110} \)= 15840;
Number of fans which are sell = 15840/720 = 22
SSC CGL 202029)A shopkeeper fixes the price of an article in such a way that after allowing 32% discount, he wants a gain of 14%. If the marked price is ₹342, then the cost price of the article is:
₹204
Marked price = 342;
Selling price = \(342 \times \frac{100 - 32}{100} = 342 \times \frac{68}{100} = 232.56\);
Let the cost price of an article be 100%.
Selling price = 100% + 14% = 114%;
114% = 232.56;
100% = \(\frac{232.56}{114} \times 100 = Rs. 204\)
SSC CGL 202030)An article was sold at a gain of 16%. If it had been sold for Rs. 36 more, the gain would have been 20%. The cost price of the article is.
₹900
Let the cost price of an article be x.
Gain = 16%;
Selling price = \(x\times{116\over100}\) = 1.16x;
Selling price when sold for 20% gain = \(x\times{120\over100}\) =1.2x;
According to question,
1.2x - 1.16x = 36;
0.04x = 36;
x = Rs.900