Model 1 Profit X After Discount Y Practice Questions Answers Test With Solutions & More Shortcuts
DISCOUNT PRACTICE TEST [4 - EXERCISES]
Model 1 Profit X After Discount Y
Model 2 Hiking & Discounting
Model 3 Successive Discount
Model 4 Mixed Discount Problems Of Marked Price
Question : 11 [SSC CGL Tier-I 2010]
A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is
a) 47 : 51
b) 47 : 56
c) 45 : 56
d) 45 : 51
Answer »Answer: (c)
Let the CP be Rs.100.
SP = Rs.112
If the marked price be x, then
90 % of x = 112
x = ${112 × 100}/90$ = Rs.$1120/9$
Required ratio = 100 : $1120/9$
= 900 : 1120 = 45 : 56
Using Rule 6,
Here, r = 12% D = 10%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$\text"MP"/\text"CP" = {100 + 12}/{100 - 10}$
$\text"MP"/\text"CP" = 112/90$
$\text"CP"/\text"MP" = 90/112$
$\text"CP"/\text"MP" = 45/56$
C.P. : M.P. = 45 : 56
Question : 12 [SSC MTS 2013]
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) 35%
b) 34$2/3$%
c) 30%
d) 33$1/3$%
Answer »Answer: (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.
Question : 13 [SSC CGL Prelim 2003]
By giving a discount of 10% on the marked price of Rs.1100 of a cycle, a dealer gains 10%. The cost price of the cycle is :
a) Rs.891
b) Rs.1089
c) Rs.1100
d) Rs.900
Answer »Answer: (d)
Selling Price
= Rs.(1100 - 10% of 1100)
= Rs.(1100 - 110) = Rs.990
Let the cost price = x
x + 10% of x = 990
${11x}/10$ = 990
$x = {990 × 10}/11$ = Rs.900
Using Rule 6,
Here, r = 10%, D = 10%, M.P. = Rs.1100, C.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$1100/\text"CP" = {100 + 10}/{100 - 10}$
C.P. = ${1100 × 90}/110$ = Rs.900
Question : 14 [SSC CGL Prelim 2002]
The marked price of an article is Rs.200. A discount of 12$1/2$%is allowed on the marked price and a profit of 25% is made. The cost price of the article is :
a) Rs.140
b) Rs.120
c) Rs.200
d) Rs.175
Answer »Answer: (a)
Discount = $12{1}/2% = 25/2$%
After discount S.P.
= Rs.200 × 87.5 = Rs.175
Gain % = 25%
Required C.P.
= Rs.$100/125$ × 175 = Rs.140
Using Rule 6,
Here, r = 25%, D = 12.5%,M.P. = Rs.200, C.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$200/\text"CP" = {100 + 25}/{100 - 12.5}$
C.P. = ${200 × 87.5}/125$ ⇒ C.P.= Rs.140
Question : 15 [SSC MTS 2013]
A profit of l0% is made after giving a discount of 5% on a T. V. If the marked price of the TV is Rs.2640.00, the cost price of the TV was :
a) Rs.2396
b) Rs.2380
c) Rs.2280
d) Rs.2296
Answer »Answer: (c)
Let the C.P. of TV be x, then
${x × 110}/100 = 2640 × 95/100$
$x = {2640 × 95}/110$ = Rs.2280
Using Rule 6,
Here, r = 10%, D = 5%,
M.P. = Rs.264000,C.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$2640/\text"CP" = {100 + 10}/{100 - 5}$
C.P. = ${2640 × 95}/110$
= 24 × 95 = 2280
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