model 1 profit x after discount y Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (b)

C.P. of article = Rs.100

Marked price be x

${x × 88}/100$ = 121

$x = {121 × 100}/88$ = Rs.137.5

i.e. 37.5% above C.P.

Using Rule 9,

Here, r = 12%, R = 21%

Required percentage

= $({r + R}/{100 - r} × 100)$%

= $({12 + 21}/{100 - 12}) × 100%$

= $33/88 × 100%$

= $3/8 × 100$

= $300/8$% = 37.5%

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

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.

Answer: (d)

SP = $180 × 120/100$ = Rs.216

90% = 216

100% = $216/90 × 100$ = Rs.240

Answer: (d)

CP = Rs.900

S.P. = 125% of 900

= $({900 × 125}/100)$ = Rs.1125

Let the marked price be x

90% of x = Rs.1125

$x = {1125 × 100}/90$ = Rs.1250

Answer: (c)

Let the marked price = Rs.100

S.P = Rs.80

Profit = 25%

CP = Rs.$(100/125 × 80)$ = Rs.64

Profit after selling on marked price

= 100 - 64 = Rs.36

Gain % = $36/64 × 100$ = 56.25%

Using Rule 6,

Here, D = 20% r = 25%

Let, M.P. be Rs.100

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

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

C.P. = ${100 × 80}/125$

C.P. = Rs.64

Profit = 100 - 64 = 36

Gain % = $36/64 × 100%$ = 56.25%