model 1 profit x after discount y 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.210
(b) Rs.215
(c) Rs.250
(d) Rs.225
The correct answers to the above question in:
Answer: (c)
Let C.P. of article be x
${x × 104.5}/100 = {275 × 95}/100$
x × 104.5 = 275 × 95
$x = {275 × 95}/{104.5}$ = Rs.250
Using Rule 6,
M.P. = Rs.275, D = 5%,
r = 4.5%, C.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$275/\text"C.P." = {100 + 4.5}/{100 - 5}$
C.P. = ${275 × 95}/{104.5}$
C.P. = Rs.250
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Read more based problems makes profit Based Quantitative Aptitude Questions and Answers
Question : 1
After allowing a discount of 16%, there was still a gain of 5%. Then the percentage of marked price over the cost price is
a) 25%
b) 21%
c) 15%
d) 18%
Answer »Answer: (a)
Let the C.P. of article be Rs.100 and its marked price be x.
$x × 84/100 = 105$
$x = {105 × 100}/84 = 125$
Required percentage = 25%
Using Rule 6,
Here, r = 5% D = 16%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
= ${100 + 5}/{100 - 16} = 105/84$
Required Percentage
= ${105 - 84}/84 × 100$ = 25%
Question : 2
A shopkeeper earns a profit of 10% after allowing a discount of 20% on the marked price. The cost price of the article whose marked price is Rs.880, is
a) Rs.680
b) Rs.774
c) Rs.704
d) Rs.640
Answer »Answer: (d)
SP of article
= (100 - 20)% of 880
= 80%of 880
= 880 × $80/100$ = Rs.704
Let CP be x
Again, 110% of x = 704
x = $704/110 × 100$ = Rs.640
Original cost = Rs.640
Using Rule 6,
Here, r = 10%, D = 20%, M.P. = Rs.880, C.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$880/\text"C.P." = {100 + 10}/{100 - 20}$
C.P. = ${880 × 80}/110$
C.P. = Rs.640
Question : 3
The marked price of an electric iron is Rs.300. The shopkeeper allows a discount of 12% and still gains 10%. If no discount is allowed, his gain per cent would have been :
a) 30%
b) 27%
c) 20%
d) 25%
Answer »Answer: (d)
SP of electric iron
= 88% of 300
= Rs.${300 × 88}/100$ = Rs.264
Profit = 10%
CP of electric iron
= $100/110 × 264$ = Rs.240
After no discount,
Gain = 300 - 240 = Rs.60
Gain per cent
= $60/240$ × 100 = 25%
Using Rule 6,
Here, M.P. = Rs.300, r = 10%, D = 12%.
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$300/\text"CP" = {100 + 10}/{100 - 12}$
C.P. = ${300 × 88}/110$
Gain % (without discount)
= ${300 - 240}/240 × 100$ = 25%
Question : 4
A trader allows a trade discount of 20% and a cash discount of 6$1/4$% on the marked price of the goods and gets a net gain of 20% of the cost. By how much above the cost should the goods be marked for the sale ?
a) 70%
b) 60%
c) 40%
d) 50%
Answer »Answer: (b)
Let C.P. of article = Rs.100
Marked price = x
Single equivalent discount
= $(20 + {25/4} - {20 × 25}/400)$% = 25%
$x × 75/100$ = 120
$x = {120 × 100}/75$ = Rs.160
160 - 100 = 60%
Question : 5
A dealer offers a discount of 10% on the marked price of an article and still makes a profit of 20%. If its marked price is Rs.800, then the cost price of the article is :
a) Rs.600
b) Rs.700
c) Rs.900
d) Rs.800
Answer »Answer: (a)
S.P. of that article
= 800 × $90/100$ = Rs.720
He still makes 20% profit
C.P. of the article
= 720 $×100/120$ = Rs.600
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, r = 20%, D = 10%, M.P. = Rs.800, C.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$800/\text"CP" = {100 + 20}/{100 - 10}$
C.P. = ${800 × 90}/120$
C.P. = Rs.600
Question : 6
A grinder was marked at Rs.3,600. After given a discount of 10% the dealer made a profit of 8%. Calculate the cost price.
a) Rs.2,960
b) Rs.3,240
c) Rs.3,000
d) Rs.3,312
Answer »Answer: (c)
If the C.P. of grinder be x, then
${x × 108}/100 = {3600 × 90}/100$ = 3240
$x = {3240 × 100}/108$ = Rs.3000
Using Rule 6,
M.P. = Rs.3600, D = 10%,
r = 8%, C.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$3600/\text"CP" = {100 + 8}/{100 - 10}$
C.P. = ${3600 × 90}/108$
= ${3600 × 10}/12$ = Rs.3000
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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