Practice Based problems makes profit - quantitative aptitude Online Quiz (set-1) For All Competitive Exams
Q-1) A shopkeeper marks his goods 20% above his cost price and gives 15% discount on the marked price. His gain percent is
(a)
(b)
(c)
(d)
If the C.P. of goods be Rs.100, then
Marked price = Rs.120
S.P. = ${120 × 85}/100$ = Rs.102
Hence, Profit per cent = 2%
Using Rule 8,A tradesman marks his goods r% above his cost price. If he allows his customers a discount of $r_1$% on the marked price. Then is profit or loss per cent is${r × (100 - r_1)}/100 - r_1$(Positive sign signifies profit and negative sign signifies loss).
Here, r = 20%, r1 = 15%
Gain % = ${r × (100 - r_1)}/100 - r_1$
= ${20 × (100 - 15)}/100 - 15$
= ${20 × 85}/100 - 15$
= 17 - 15 = 2%
Q-2) The marked price of a radio is Rs.4,800. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent will be
(a)
(b)
(c)
(d)
Let CP of radio be Rs.x.
According to the question,
${108x}/100 = 4800 × 90/100 = 4320$
$x {4320 × 100}/108$ = Rs.4000
If no discount is allowed,
Gain per cent
= $800/4000 × 100 = 20%$
Using Rule 6,
M.P. = Rs.4800, D = 10%, r = 8%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$4800/\text"CP" = {100 + 8}/{100 - 10}$
C.P. = ${4800 × 90}/108$
C.P. = 4000
Gain % (without discount)
= ${4800 - 4000}/4000 × 100$
= $800/4000 × 100$ = 20%
Q-3) The marked price of an electric iron is Rs.690. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent would be
(a)
(b)
(c)
(d)
Marked price = Rs.690
Discount = 10%
SP = ${690 × 90}/100$ = Rs.621
Profit = 8%
CP = $621/108 × 100$ = Rs.575
Profit without discount
= 690 - 575 = Rs.115
Profit per cent
= $115/575 × 100$ = 20%
Using Rule 9,The marked price of an article is fixed in such a way that after allowing a discount of r% a profit of R% is obtained. Then the marked price of the article is $({r + R}/{100 - r} × 100)$% more than its cost price.
Here, r = 10% R = 20%
Required percentage
= ${r + R}/{100 - r} × 100$%
= ${10 + 20}/{100 - 10} × 100$%
= $30/90 × 100% = 33{1}/3%$
Gain % = $\text"S.P. - C.P."/\text"C.P." × 100$
(without discount)
= ${480 - 400}/400 × 100$
= $80/400 × 100$ = 20%
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, M.P. = Rs.690, D = 10%, r = 8%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$600/\text"CP" = {100 + 8}/{100 - 10}$
C.P. = ${690 × 90}/108$
C.P. = Rs.575
Gain % (without discount)
= ${690 - 575}/575 = 100%$
= $115/575 × 100%$ = 20%
Q-4) How much percent more than the cost price should a shopkeeper mark his goods so that after allowing a discount of 25% on the marked price, he gains 20% ?
(a)
(b)
(c)
(d)
Let C.P.of article = Rs.100
If the marked price of article be x, then
$x × 75/100$ = 120
$x = {120 × 100}/75$ = 160
i.e. 60% above the cost price
Using Rule 9,
r = 25%, R = 20%
Required percentage
= $({r + R}/{100 - r} × 100)$%
= $({25 + 20}/{100 - 25} × 100)$%
= $45/75 × 100$ = 60%
Q-5) An article of cost price Rs.8,000 is marked at Rs.11,200. After allowing a discount of x% a profit of 12% is made. The value of x is
(a)
(b)
(c)
(d)
S.P. for a profit of 12%
= ${8000 × 112}/100$ = Rs.8960
Discount = 11200 - 8960 = Rs.2240
If the discount per cent be x, then
${11200 × x}/100 = 2240$
$x = {2240 × 100}/11200 = 20%$
Using Rule 6,
Here, M.P. = Rs.11200, C.P. = Rs.8000
r =12% D = x%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$11200/8000 = {100 + 12}/{100 - x}$
= $11200/8000 = 112/{100 - x}$
100 - x = 80 ⇒ x = 20%
Q-6) A trader wishes to gain 20% after allowing 10% discount on the marked price to his customers. At what per cent higher than the cost price must he marks his goods ?
(a)
(b)
(c)
(d)
Let the CP be Rs.100.
Then SP = Rs.120
Let the marked price be x.
Then, 90% of x = Rs.120
$x = {120 × 100}/90$
= $400/3 = 133{1}/3$
It is $33{1}/3$% higher than the CP.
Q-7) In order to maintain the price line a trader allows a discount of 10% on the marked price of an article. However, he still makes a profit of 17% on the cost price. Had he sold the article at the marked price, he would have earned a profit per cent of
(a)
(b)
(c)
(d)
Let the marked price be Rs.100.
S.P. = 90% of 100 = Rs.90
Profit = 17%
C.P. = Rs.$90 × 100/117$ = Rs.$1000/13$
If no discount is allowed,
S.P. = Rs.100
Profit = Rs.$(100 - 1000/13)$ = Rs.$300/13$
Profit % = ${300/13}/{1000/13}$ × 100 = 30%
Using Rule 6,
Here, D = 10%, r = 17%,
Let the M.P. = Rs.100
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$100/\text"CP" = {100 + 17}/{100 - 10}$
$100/\text"C.P." = 117/90$
C.P. = ${100 × 90}/117 = 1000/13$
Profit = S.P. - C.P.
= $100 - 1000/13$ = Rs.$300/13$
Profit % = ${300/13}/{1000/13} × 100%$ = 30%
Q-8) 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)
(b)
(c)
(d)
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%
Q-9) 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)
(b)
(c)
(d)
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%
Q-10) 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)
(b)
(c)
(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%