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.21.25
(b) Rs.21.00
(c) Rs.19.75
(d) Rs.20.00
The correct answers to the above question in:
Answer: (d)
Discount = 15%
SP of racket = 85% of Rs.30 = Rs.25.50
One shuttle cock of Rs.1.50 is free.
Actual SP
= Rs.(25.50 - 1.50) = Rs.24
He still gains 20%
CP = $100/120 × 24$ = Rs.20
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Read more mixed problems on marked price Based Quantitative Aptitude Questions and Answers
Question : 1
A shopkeeper allows 4% discount on his marked price. If the cost price of an article is Rs.100 and he has to make a profit of 20%, then his marked price must be
a) Rs.120
b) Rs.96
c) Rs.130
d) Rs.125
Answer »Answer: (d)
Let the marked price of the article be x
According to the question,
96% of x = 120% of 100
$x × 96/100 = {100 × 120}/100$
$x = {100 × 120}/100$ = Rs.125
Using Rule 6,
Here, r = 20%, D = 4%,
C.P. = Rs.100, M.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$\text"MP"/100 = {100 + 20}/{100 - 4}$
M.P. = ${120 × 100}/96$
= $1000/8$ = Rs.125
Question : 2
A discount of 14% on the marked price of an article is allowed and then the article is sold for Rs.387. The marked price of the article is
a) Rs.427
b) Rs.450
c) Rs.440
d) Rs.500
Answer »Answer: (b)
Let the marked price be x
86% of x = 387
$x = {387 × 100}/86$ = Rs.450
Using Rule 2,If article is sold on D% discount, thenSP = ${\text"MP"(100 - D)}/100$MP = ${\text"SP" × 100}/{100 - D}$
Here, D = 14%, S.P. = Rs.387, M.P. = ?
M.P. = ${\text"SP" × 100}/{100 - D}$
= ${387 × 100}/{100 - 14}$
= $38700/86$ = Rs.450
Question : 3
A man buys an article for Rs.80 and marks it at Rs.120. He then allows a discount of 40%. What is the loss or gain per cent ?
a) 12% loss
b) 12% gain
c) 10% loss
d) 10% gain
Answer »Answer: (c)
Discount = $120 × 40/100$ = Rs.48
S.P. = Rs.(120 - 48) = Rs.72
Loss = 80 - 72 = Rs.8
Loss % = $8/80 × 100 = 10$%
Using Rule 6,If r% of profit or loss occur after giving D% discount on marked price, then$\text"MP"/\text"CP" = {100 ± r}/{100 - D}$(positive sign for profit and negative for loss)
Here, C.P. = Rs.80, M.P. = Rs.120, D = 40%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$120/80 = {100 + r}/{100 - 40}$
$3/2 = {100 + r}/60$
90 = 100 + r
r =–10% (–ve sign shows loss)
Loss = 10%
Question : 4
An article, which is marked Rs.650, is sold for Rs.572. The discount given is
a) 13%
b) 12%
c) 26%
d) 21%
Answer »Answer: (b)
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%
Question : 5
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) 48%
b) 37.5%
c) 52%
d) 50.5%
Answer »Answer: (b)
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%
Question : 6
A discount of 24% on the marked price of an article is allowed and then the article is sold for Rs.342. The marked price of the article is
a) Rs.490
b) Rs.500
c) Rs.430
d) Rs.450
Answer »Answer: (d)
If the marked price of article be x, then
${x × 76}/100 = 342$
$x = {342 × 100}/76$ = Rs.450
Using Rule 2,
Here, D = 24%, S.P. = Rs.342, M.P. = ?
M.P. = $\text"S.P. × 100"/{100 - D}$
= ${342 × 100}/{100 - 24}$
= $34200/76$ = Rs.450
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
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