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.680
(b) Rs.774
(c) Rs.704
(d) Rs.640
The correct answers to the above question in:
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
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Read more based problems makes profit Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is Rs.170 ?
a) Rs.200
b) Rs.220
c) Rs.240
d) Rs.260
Answer »Answer: (c)
If the marked price be x, then
$x × 85/100 = {170 × 120}/100$
x × 85 = 170 × 120
$x = {170 × 120}/85$ = Rs.240
Using Rule 6,
Here, D = 15% r = 20%
C.P. = Rs.170
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$\text"MP"/170 = {100 + 20}/{100 - 15}$
$\text"M.P."/170 = 120/85$
M.P. = ${120 × 170}/85$
M.P. = Rs.240
Question : 3
The marked price of a radio is Rs.480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain percent would be
a) 20%
b) 20.5%
c) 18%
d) 18.5%
Answer »Answer: (a)
If the CP of radio be x, then
$108/100 of x = {480 × 90}/100$
${x × 108}/100$ = 432
$x = {432 × 100}/108$ = Rs.400
Gain per cent (if no discount is allowed)
= $80/400 × 100$ = 20%
Using Rule 6,
Here, r = 8%, D = 10%, M.P. = Rs.480
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$480/\text"CP" = {100 + 8}/{100 - 10}$
C.P. = ${480 × 90}/108$ = Rs.400
Gain % = $\text"S.P. - C.P."/\text"C.P." × 100$
(without discount)
= ${480 - 400}/400 × 100$
= $80/400 × 100$ = 20%
Question : 4
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 : 5
Marked price of an article is Rs.275. Shopkeeper allows a discount of 5% and he gets a profit of 4.5%. The actual cost of the article is
a) Rs.210
b) Rs.215
c) Rs.250
d) Rs.225
Answer »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
Question : 6
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%
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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