model 4 mixed discount problems of marked price Practice Questions Answers Test with Solutions & More Shortcuts

Question : 6 [SSC CISF ASI 2010]

The selling price of an article is Rs.1,920 and the discount given is 4%. The marked price of the article is

a) Rs.2,000

b) Rs.2,400

c) Rs.1,200

d) Rs.1,600

Answer: (a)

If the marked price of the article be x, then

96% of x = 1920

${x × 96}/100 = 1920$

$x ={1920 × 100}/96$ = Rs.2000

Using Rule 2,

S.P. = Rs.1920 D = 4% M.P. = ?

M.P. = $\text"S.P. × 100"/{100 - D}$

= ${1920 × 100}/{100 - 4}$

= ${1920 × 100}/96$ = Rs.2000

Question : 7 [SSC GL Tier-II 2012]

Rahim bought a T.V. with 20% discount on list price. Had he bought it with 25% discount he would have saved Rs.500. At what price did he buy the T.V?

a) Rs.12,000

b) Rs.16,000

c) Rs.8,000

d) Rs.10,000

Answer: (c)

If the marked price of T.V. be x, then,

${x × 5}/100$ = 500

$x = {500 × 100}/5$ = Rs.10000

Initial S.P. of T.V.

= ${10000 × 80}/100$ = Rs.8000

Question : 8

A shopkeeper sells his goods at 15% discount. The marked price of an article whose selling price is Rs.629 is :

a) Rs.704

b) Rs.740

c) Rs.614

d) Rs.700

Answer: (b)

Let the marked price be x.

${x × 85}/100$ = 629

$x = {629 × 100}/85$ = Rs.740

Using Rule 2,

M.P. = ? , S.P. = Rs.629, D = 15%

M.P. = $\text"S.P. × 100"/{100 - D}$

= ${629 × 100}/{100 - 15}$

= $62900/85$ = Rs.740

Question : 9

A shopkeeper sells his goods at 10% discount on the marked price. What price should he mark on an article that costs him Rs.900 to gain 10% ?

a) Rs.1250

b) Rs.1275

c) Rs.1100

d) Rs.1175

Answer: (c)

C.P. = Rs.900, Gain = 10%

S.P. = Rs.$(110/100 × 900)$ = Rs.990

Let the marked price be x.

$90/100 x$ = 990

$x = {990 × 100}/90$ = Rs.1100

Using Rule 6,

Here, D = 10%, C.P. = Rs.900,

R = 10%, M.P. = ?

$\text"MP"/\text"CP" = {100 + r}/{100 - D}$

$\text"MP"/900 = {100 + 10}/{100 - 10}$

M.P. = $110/90 × 900$ = Rs.1100

Question : 10 [SSC CPO S.I.2007]

Ravi buys an article with a discount of 25% on its marked price. He makes a profit of 10% by selling it at Rs.660. The marked price of the article was:

a) Rs.700

b) Rs.600

c) Rs.685

d) Rs.800

Answer: (d)

CP of the article for Ravi

= $660 × 100/110$ = Rs.600

Ravi bought the article at the discount of 25%

75% of marked price = Rs.600

Marked price

= ${600 × 100}/75$ = Rs.800

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