Practice Mixed problems on marked price - quantitative aptitude Online Quiz (set-1) For All Competitive Exams
Q-1) A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was :
(a)
(b)
(c)
(d)
Let the C.P. be Rs.100
Marked price = Rs.125
S.P. = 8% of 125
= ${84 × 125}/100$ = Rs.105
Profit = Rs.(105 - 100) = Rs.5
Profit % = 5%
Q-2) A sells a scooter priced Rs.36,000. He gives a discount of 8% on the first Rs.20,000 and 5% on the next Rs.10,000. How much discount can he offered on the remaining Rs.6,000 if he is to get as much as when 7% discount is allowed on the total ?
(a)
(b)
(c)
(d)
Discount on Rs.36000
= ${36000 × 7}/100$ = Rs.2520
Discount on first Rs.20,000
= ${20000 × 8}/100$ = Rs.1600
Discount on next Rs.10,000
= ${10,000 × 5}/100$ = Rs.500
Discount on remaining Rs.6,000
= 2520 - (1600 + 500) = Rs.420
∴ Required percent
= ${420 × 100}/6000$ = 7%
Q-3) A retailer gets a discount of 40% on the printing price of an article. The retailer sells it at the printing price. His gain per cent is
(a)
(b)
(c)
(d)
Let the printed price of the article be Rs.100
Discount = 40%
C.P. = Rs.(100 - 40) = Rs.60
S.P. = Rs.100
Gain % = $40/60 × 100$
= $200/3 = 66{2}/3$%
Q-4) The cost price of an article is 64% of the marked price. The gain percentage after allowing a discount of 12% on the marked price is
(a)
(b)
(c)
(d)
Let marked price of article = Rs.100
C.P. of article = Rs.64
S.P. of article = Rs.88
Profit per cent
= ${88 - 64}/64 × 100$ = 37.5%
Q-5) An article, which is marked Rs.650, is sold for Rs.572. The discount given is
(a)
(b)
(c)
(d)
Discount = 650 - 572 = Rs.78
If the discount bex% then
${650 × x}/100 = 78$
$x = {78 × 100}/650 = 12%$
Using Rule 1,If Marked Price = (MP), Selling Price = (SP)Then, Discount = MP - SP andDiscount% = $\text"Discount"/\text"MP" × 100$Discount% = $\text"Marked Price - Selling Price"/\text"Marked Price" × 100$Note:Any kind of Discount is calculated only on marked price and not on selling price or cost price.
Here, M.P. = Rs.650, S.P. = Rs.572
Discount % = $\text"M.P. - S.P."/\text"M.P." × 100$
= ${650 - 572}/650 × 100$
= $7800/650$ = 12%
Q-6) A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by
(a)
(b)
(c)
(d)
Let the C.P. of each article be Rs.1
For 15 books, the tradesman gives 1 book free.
C.P. of 15 books = Rs.16
S.P. of 15 books
= $16 × 135/100$ = Rs.$108/5$
S.P. of 1 book
= $108/{5 × 15}$ = Rs.$36/25$
Now, 96% of marked price = $36/25$
Marked price
= ${36 × 100}/{25 × 96} = 3/2 = Rs.1.5$
The required % increase
= ${0.5}/1 × 100$ = 50%
Q-7) A fan is listed at Rs.1,500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer now to bring the net price to Rs.1,104 ?
(a)
(b)
(c)
(d)
First discount = 20%
Price after first discount
= Rs.$(1500 - 20/100 × 1500)$
= Rs.(1500 - 300) = Rs.1200
Let the additional discount be x%
$(1200 - {x × 1200}/100)$ = 1104
1200 - 12x = 1104
12x = 1200 - 1104 = 96
$x = 96/12 = 8%$
Q-8) The printed price of an article is Rs.900 but the retailer gets a discount of 40%. He sells the article for Rs.900. Retailer's gain per cent is :
(a)
(b)
(c)
(d)
Printed price = Rs.900
On 40% discount
= $900 - {900 × 40}/100$ = 900 - 360
C.P. for retailer = 540
S.P. = 900
Profit = 900 - 540 = 360
Gain % = ${360 × 100}/540$
= $200/3 = 66{2}/3$%
Q-9) A retailer buys 40 pens at the marked price of 36 pens from a wholesaler. If he sells these pens giving a discount of 1%, what is the profit percent?
(a)
(b)
(c)
(d)
Let the marked price of each pen be x
Total cost price of 40 pens = Total marked price of 36 pens = 36x
Selling price of 1 pen after 1% discount
= (1–0.01)x = 0.99x
Selling price of 40 pens
= 40 × 0.99x = 39.6x
Profit = ${39.6 - 36}/36 × 100$
= ${3.6}/36 × 100 = 10%$
Q-10) A shopkeeper sells his goods at 15% discount. The marked price of an article whose selling price is Rs.629 is :
(a)
(b)
(c)
(d)
Let the marked price be x.
${x × 85}/100$ = 629
$x = {629 × 100}/85$ = Rs.740
Using Rule 2,
M.P. = ? , S.P. = Rs.629, D = 15%
M.P. = $\text"S.P. × 100"/{100 - D}$
= ${629 × 100}/{100 - 15}$
= $62900/85$ = Rs.740