model 4 mixed discount problems of marked price Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 4 EXERCISES
The following question based on discount topic of quantitative aptitude
(a) Rs.12,000
(b) Rs.16,000
(c) Rs.8,000
(d) Rs.10,000
The correct answers to the above question in:
Answer: (c)
If the marked price of T.V. be x, then,
${x × 5}/100$ = 500
$x = {500 × 100}/5$ = Rs.10000
Initial S.P. of T.V.
= ${10000 × 80}/100$ = Rs.8000
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Read more mixed problems on marked price Based Quantitative Aptitude Questions and Answers
Question : 1
A shopkeeper sells his goods at 15% discount. The marked price of an article whose selling price is Rs.629 is :
a) Rs.704
b) Rs.740
c) Rs.614
d) Rs.700
Answer »Answer: (b)
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
Question : 2
A shopkeeper sells his goods at 10% discount on the marked price. What price should he mark on an article that costs him Rs.900 to gain 10% ?
a) Rs.1250
b) Rs.1275
c) Rs.1100
d) Rs.1175
Answer »Answer: (c)
C.P. = Rs.900, Gain = 10%
S.P. = Rs.$(110/100 × 900)$ = Rs.990
Let the marked price be x.
$90/100 x$ = 990
$x = {990 × 100}/90$ = Rs.1100
Using Rule 6,
Here, D = 10%, C.P. = Rs.900,
R = 10%, M.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$\text"MP"/900 = {100 + 10}/{100 - 10}$
M.P. = $110/90 × 900$ = Rs.1100
Question : 3
Ravi buys an article with a discount of 25% on its marked price. He makes a profit of 10% by selling it at Rs.660. The marked price of the article was:
a) Rs.700
b) Rs.600
c) Rs.685
d) Rs.800
Answer »Answer: (d)
CP of the article for Ravi
= $660 × 100/110$ = Rs.600
Ravi bought the article at the discount of 25%
75% of marked price = Rs.600
Marked price
= ${600 × 100}/75$ = Rs.800
Question : 4
The selling price of an article is Rs.1,920 and the discount given is 4%. The marked price of the article is
a) Rs.2,000
b) Rs.2,400
c) Rs.1,200
d) Rs.1,600
Answer »Answer: (a)
If the marked price of the article be x, then
96% of x = 1920
${x × 96}/100 = 1920$
$x ={1920 × 100}/96$ = Rs.2000
Using Rule 2,
S.P. = Rs.1920 D = 4% M.P. = ?
M.P. = $\text"S.P. × 100"/{100 - D}$
= ${1920 × 100}/{100 - 4}$
= ${1920 × 100}/96$ = Rs.2000
Question : 5
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) 55%
b) 40%
c) 75%
d) 66$2/3$%
Answer »Answer: (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 % = $40/60 × 100$
= $200/3 = 66{2}/3$%
Question : 6
A trader gains 15% after selling an item at 10% discount on the printed price. The ratio of the cost price and printed price of the item is
a) 17 : 18
b) 18 : 23
c) 18 : 25
d) 17 : 23
Answer »Answer: (b)
Let the CP of article be x and its marked price be y.
According to the question,
90% of y = 115% of x
${y × 90}/100 = {x × 115}/100$
$x/y =90/115 = 18/23$ ⇒ 18 : 23
Using Rule 6,
Here, r = 15%, D = 10%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
= ${100 + 15}/{100 - 10}$
$\text"M.P."/ \text"C.P."= 115/90$
$\text"C.P."/ \text"M.P."= 90/115$
$\text"C.P."/ \text"M.P."= 18/23$
C.P. : M.P. = 18 : 23
GET discount PRACTICE TEST EXERCISES
model 1 profit x after discount y
model 2 hiking & discounting
model 3 successive discount
model 4 mixed discount problems of marked price
discount Shortcuts and Techniques with Examples
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