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

Answer: (d)

SP of article

= (100 - 20)% of 880

= 80%of 880

= 880 × $80/100$ = Rs.704

Let CP be x

Again, 110% of x = 704

x = $704/110 × 100$ = Rs.640

Original cost = Rs.640

Using Rule 6,

Here, r = 10%, D = 20%, M.P. = Rs.880, C.P. = ?

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

$880/\text"C.P." = {100 + 10}/{100 - 20}$

C.P. = ${880 × 80}/110$

C.P. = Rs.640

Answer: (d)

SP of electric iron

= 88% of 300

= Rs.${300 × 88}/100$ = Rs.264

Profit = 10%

CP of electric iron

= $100/110 × 264$ = Rs.240

After no discount,

Gain = 300 - 240 = Rs.60

Gain per cent

= $60/240$ × 100 = 25%

Using Rule 6,

Here, M.P. = Rs.300, r = 10%, D = 12%.

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

$300/\text"CP" = {100 + 10}/{100 - 12}$

C.P. = ${300 × 88}/110$

Gain % (without discount)

= ${300 - 240}/240 × 100$ = 25%

Answer: (c)

If the marked price be x, then

$x × 85/100 = {170 × 120}/100$

x × 85 = 170 × 120

$x = {170 × 120}/85$ = Rs.240

Using Rule 6,

Here, D = 15% r = 20%

C.P. = Rs.170

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

$\text"MP"/170 = {100 + 20}/{100 - 15}$

$\text"M.P."/170 = 120/85$

M.P. = ${120 × 170}/85$

M.P. = Rs.240

Answer: (a)

If the CP of radio be x, then

$108/100 of x = {480 × 90}/100$

${x × 108}/100$ = 432

$x = {432 × 100}/108$ = Rs.400

Gain per cent (if no discount is allowed)

= $80/400 × 100$ = 20%

Using Rule 6,

Here, r = 8%, D = 10%, M.P. = Rs.480

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

$480/\text"CP" = {100 + 8}/{100 - 10}$

C.P. = ${480 × 90}/108$ = Rs.400

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

(without discount)

= ${480 - 400}/400 × 100$

= $80/400 × 100$ = 20%

Answer: (c)

Let the C.P. be 100 and the marked price be x.

$x × 88/100$ = 132

$x = {132 × 100}/88$ = 150

i.e., more by 50%

Here, r = 12% R = 32%

Required percentage

= $({r + R}/{100 - r} × 100)$%

= $({12 × 32}/{100 - 12}) × 100%$

= $44/88 × 100$ = 50%