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

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)

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

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

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