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

Answer: (b)

If the C.P. of goods be Rs.100, then

Marked price = Rs.120

S.P. = ${120 × 85}/100$ = Rs.102

Hence, Profit per cent = 2%

Here, r = 20%, r1 = 15%

Gain % = ${r × (100 - r_1)}/100 - r_1$

= ${20 × (100 - 15)}/100 - 15$

= ${20 × 85}/100 - 15$

= 17 - 15 = 2%

Answer: (d)

Let CP of radio be Rs.x.

According to the question,

${108x}/100 = 4800 × 90/100 = 4320$

$x {4320 × 100}/108$ = Rs.4000

If no discount is allowed,

Gain per cent

= $800/4000 × 100 = 20%$

Using Rule 6,

M.P. = Rs.4800, D = 10%, r = 8%

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

$4800/\text"CP" = {100 + 8}/{100 - 10}$

C.P. = ${4800 × 90}/108$

C.P. = 4000

Gain % (without discount)

= ${4800 - 4000}/4000 × 100$

= $800/4000 × 100$ = 20%

Answer: (c)

Marked price = Rs.690

Discount = 10%

SP = ${690 × 90}/100$ = Rs.621

Profit = 8%

CP = $621/108 × 100$ = Rs.575

Profit without discount

= 690 - 575 = Rs.115

Profit per cent

= $115/575 × 100$ = 20%

Here, r = 10% R = 20%

Required percentage

= ${r + R}/{100 - r} × 100$%

= ${10 + 20}/{100 - 10} × 100$%

= $30/90 × 100% = 33{1}/3%$

Gain % = $\text"S.P. - C.P."/\text"C.P." × 100$

(without discount)

= ${480 - 400}/400 × 100$

= $80/400 × 100$ = 20%

Here, M.P. = Rs.690, D = 10%, r = 8%

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

$600/\text"CP" = {100 + 8}/{100 - 10}$

C.P. = ${690 × 90}/108$

C.P. = Rs.575

Gain % (without discount)

= ${690 - 575}/575 = 100%$

= $115/575 × 100%$ = 20%

Answer: (b)

Let C.P.of article = Rs.100

If the marked price of article be x, then

$x × 75/100$ = 120

$x = {120 × 100}/75$ = 160

i.e. 60% above the cost price

Using Rule 9,

r = 25%, R = 20%

Required percentage

= $({r + R}/{100 - r} × 100)$%

= $({25 + 20}/{100 - 25} × 100)$%

= $45/75 × 100$ = 60%

Answer: (d)

S.P. for a profit of 12%

= ${8000 × 112}/100$ = Rs.8960

Discount = 11200 - 8960 = Rs.2240

If the discount per cent be x, then

${11200 × x}/100 = 2240$

$x = {2240 × 100}/11200 = 20%$

Using Rule 6,

Here, M.P. = Rs.11200, C.P. = Rs.8000

r =12% D = x%

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

$11200/8000 = {100 + 12}/{100 - x}$

= $11200/8000 = 112/{100 - x}$

100 - x = 80 ⇒ x = 20%