model 2 gain lost percentage Practice Questions Answers Test with Solutions & More Shortcuts

Answer: (a)

Required profit per cent =${10 - 9}/9 × 100$

= $1/9 × 100 = 11{1}/ 9%$

Using Rule 8,

Here, x = 10, y = 9

Profit % = $({x - y}/y) × 100$

= $({10 - 9}/9) × 100$

= $1/9 × 100 = 11{1}/9%$

Answer: (b)

If the CP of A articles be equal to SP of B articles, then

Loss percent = ${B - A}/B × 100$

= ${16 - 10}/16 × 100 = 6/16 × 100$ = 37.5%

Using Rule 8,

Here, x = 10, y = 16

Loss % = $({y - x}/y) × 100$

= $({16 - 10}/16) × 100 = 600/16$ = 37.5%

Answer: (d)

Let the cost price of one table = x

Cost price of 15 tables = 15x

and cost price of 20 tables = 20x

According to the question Selling price of 20 tables

= cost price of 15 tables = 15x

Loss = 20x - 15x = 5x

Loss% = ${5x × 100}/{20x} = 25%$

Using Rule 8,

Here, x = 15, y = 20

Loss % = ${x - y}/y × 100$

= $({15 - 20}/20) × 100$

=${-5}/20 × 100 = -25%$

(–ve sign shows loss)

= 25%

Answer: (d)

Profit percent = ${400 - 320}/320 × 100$

= $80/320 × 100 = 25%$

Using Rule 8

Here, x = 400, y = 320

Gain % = $({x - y}/y) × 100$

= ${400 - 320}/320 × 100 =80/320 × 100 = 25%$

Answer: (b)

C.P. of article for A = Rs. 100

A’s S.P. = ${100 × 120}/100$ = Rs. 120

B’s S.P. = ${120 × 85}/100$ = Rs. 102

= C.P. for C

Required profit percent = 2%