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

Answer: (a)

Cost price of the article = Rs.x

$x × 125/100 = {500 × 95}/100$

$x = {500 × 95}/125$ = Rs.380

Using Rule 6,

Here, R = 25%, D = 5%, M.P. = Rs.500, C.P. = ?

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

$500/\text"C.P."= {100 + 25}/{100 - 5}$

C.P. = ${500 × 95}/125$ = Rs.38

Answer: (b)

Let the CP of the article be 100.

According to the question,

The marked price = Rs.130

Discount = 10%

SP = 90% of 130

= ${130 × 90}/100$ = Rs.117

Gain = 117 - 100 = Rs.17

Gain per cent = 17%

since the CP = Rs.100

Using Rule 8,

Here, r = 30%, $r_1$ = 10%

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

= ${30 × (100 - 10)}/100 - 10$

= ${30 × 90}/100 - 10$ = 17%

Answer: (c)

Let marked price of the wrist watch be x

${90x}/100 = {450 × 120}/100$

90x = 450 × 120

$x = {450 × 120}/90$ = Rs.600

Using Rule 8,

Here, $r_1$ = 10%, profit = 20%, r = ?

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

20 = ${r × (100 - 10)}/100 - 10$

20 = ${9r}/10 - 10$

30 = ${9r}/10$

$r = 300/9$%

List price =450 + 450 × $300/9$%

= 450 + 450 × $300/900$

= 450 + 150 = Rs.600

Answer: (b)

Let the cost price be Rs.100

and marked price be x.

${x × 90}/100 = 108$

${9x}/10 = 108$

$x = {108 × 10}/9 = 120$

Required Percent = 20%

Using Rule 8,

Here, Gain % = 8%, $r_1$ = 10%, r = ?

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

8 = ${r × (100 - 10)}/100 - 10$

8 = ${r × 90}/100 - 10$

8 = ${r × 9}/10$ = 20%

Answer: (c)

Let Cost price of article = Rs.100

Marked price = Rs.125

S.P. = ${125 × 90}/100$ = Rs.112.5

Gain = 112.5 - 100 = 12.5

Gain percent = 12.5%

Using Rule 8,

Here, r = 25%, $r_1$ = 10%

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

= ${25 × (100 - 10)}/100 - 10$

= ${25 × 90}/100 - 10$

= 22.5 - 10 = 12.5%