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) 39%
(b) 40%
(c) 20%
(d) 50%
The correct answers to the above question in:
Answer: (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%
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Read more mixed problems on marked price Based Quantitative Aptitude Questions and Answers
Question : 1
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) 10%
b) 8%
c) 12%
d) 15%
Answer »Answer: (b)
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
$x = 96/12 = 8%$
Question : 2
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) 60%
b) 40%
c) 68$1/3$%
d) 66$2/3$%
Answer »Answer: (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 % = ${360 × 100}/540$
= $200/3 = 66{2}/3$%
Question : 3
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) 9%
b) 5%
c) 25%
d) 16%
Answer »Answer: (b)
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%
Question : 4
While selling a shirt, a shopkeeper gives a discount of 7%. If he had given a discount of 9% he would have got Rs.15 less as profit. The marked price of the shirt is
a) Rs.720
b) Rs.750
c) Rs.600
d) Rs.712.50
Answer »Answer: (b)
Let the marked price of the shirt be x.
Difference of discounts = 2%
2% of x = 15
${x × 2}/100$ = 15
$x = {15 × 100}/2$ = Rs.750
Question : 5
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 : 6
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
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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