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

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: (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: (d)

Present worth

= 1860 - 60 = Rs.1800

Time = ${100 × \text"True Discount"}/\text"Present worth × Rate"$

= ${100 × 60}/{1800 × 5} = 2/3$ year

= $(2/3 × 12)$ months = 8 months

Answer: (d)

SP = $180 × 120/100$ = Rs.216

90% = 216

100% = $216/90 × 100$ = Rs.240