model 2 hiking & discounting Practice Questions Answers Test with Solutions & More Shortcuts

Answer: (b)

Let the C.P. of article be Rs.100

Marked price = Rs.145

S.P. = ${145 × 80}/100$ = Rs.116

Profit percent = 16%

Using Rule 8,

Here, r = 45%, $r_1$ = 20%

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

= ${45 × (100 - 20)}/100 - 20$

= $3600/100$ - 20

= 36 - 20 = 16%

Answer: (a)

Suppose C.P. = 100

On 20% above S.P. = 120

On discount of 8%

= $120 - 120 × 8/100$

= $120 - 48/5$ = 120 - 9.6 = 110.4

Gain = 110.4 - 100 = 10.4%

Using Rule 8,

Here, r = 20%, $r_1$ = 8%

Profit or loss

= ${r × (100 - r_1)}/100 - r_1$

= ${20 × (100 - 8)}/100 - 8$

= ${20 × 92}/100 - 8$

= 18.4 - 8 = 10.4% profit

Answer: (b)

Cost price of the shirt = Rs.x

$x × 120/100 = {850 × 96}/100$

x × 120 = 850 × 96

$x = {850 × 96}/120$ = Rs.680

Here r = 20%, D = 4%, M.P. = Rs.850, C.P. = ?

$\text"M.P."/\text"C.P."= {100 + r}/{100 - D}$

$850/\text"C.P." = {100 + 20}/{100 - 4}$

C.P. = ${850 × 96}/120$

C.P. = Rs.680

Answer: (c)

For Anand,

Cost price = Rs.x

Marked price = Rs.$3/2$x

Selling price

= ${3x}/2 × 80/100$ = Rs.${6x}/5$

For Balaji,

Cost price = Rs.${6x}/5$

Selling price = Rs.$({6x}/5 + 20)$

${6x}/5 + 20 = {x × 130}/100$

${13x}/10 - {6x}/5 = 20$

${13x - 12x}/10 = 20$

$x/10$ = 20 ⇒ x = Rs.200

Required gain percent

= $20/{{6x}/5} × 100$

= ${20 × 5 × 100}/{6 × 200} = 25/3 =8.33%$

Answer: (d)

Let the C.P. be Rs.100

and the marked price be Rs.x.

$x × 88/100$ = 132

$x = {132 × 100}/88$

= 150 i.e., more by 50%

Required percentage = 50%

Here, Gain % = 32%, $r_1$ = 12%, r = ?

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

32 = ${r × (100 - 12)}/100 - 12$

44 = ${r × 88}/100$

r = 50%