model 1 profit x after discount y Practice Questions Answers Test with Solutions & More Shortcuts

Question : 16

A shopkeeper offers 10% discount on the marked price of his articles and still makes a profit of 20%. What is the actual cost of the article marked Rs.500 for him ?

a) Rs.375

b) Rs.400

c) Rs.440

d) Rs.425

Answer: (a)

Let the cost price of article be x

$500 × 90/100 = 120/100 × x$

450 = ${6x}/5$

$x = {450 × 5}/6$ = Rs.375

Using Rule 6,

C.P. = ? , M.P. = Rs.500, r = 20%, D = 10%

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

$500/\text"CP" = {100 + 20}/{100 - 10}$

C.P.= ${500 × 90}/120$ = Rs.375

Question : 17 [SSC FCI Asst 2012]

The price that Akbar should mark on a pair of shoes which costs him Rs.1,200 to gain 12% after allowing a discount of 16% (in rupees) is

a) 1,500

b) 1,600

c) 1,344

d) 1,433

Answer: (b)

Let the marked price be x.

$x × 84/100 = {1200 × 112}/100$

$x × 84/100 = 112 × 12$

$x = {112 × 1200}/84$ = Rs.1600

Using Rule 6,

C.P. = Rs.1200, r = 12%, D = 16%

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

$\text"MP"/1200 = {100 + 12}/{100 - 16}$

M.P.= ${112 × 1200}/84$ = Rs.1600

Question : 18 [SSC CPO S.I.2004]

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) 35%

b) 33%

c) 30%

d) 32%

Answer: (c)

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%

Question : 19

A manufacturer marked an article at Rs.50 and sold it allowing 20% discount. If his profit was 25%, then the cost price of the article was

a) Rs.30

b) Rs.32

c) Rs.40

d) Rs.35

Answer: (b)

Marked price = Rs.50

S.P. after discount = 80% of 50 = Rs.40

If the CP of article be x, then

${125 × x}/100 = 40$

$x = {40 × 100}/125$ = Rs.32

Using Rule 6,

Here, M.P. = Rs.50, C.P. = ?,

r = 25%, D = 20%

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

$50/\text"CP" = {100 + 25}/{100 - 20}$

C.P.= ${50 × 80}/125$ = Rs.32

Question : 20 [SSC CGL Tier-I 2014]

A shopkeeper marks his goods 40% above the cost price. He allows a discount of 5% for cash payment to his customers. He receives Rs.1064 after paying the discount. His profit is

a) Rs.800

b) Rs.200

c) Rs.264

d) Rs.164

Answer: (a)

Cost price of article = Rs.x

$x × 140/100 × 95/100 = 1064$

$x = {1064 × 100 × 100}/{140 × 95}$ = Rs.800

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