model 2 hiking & discounting Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (c)

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

Marked price = Rs.140

S.P. = ${140 × 85}/100$ = Rs.119

Gain per cent = 19%

Using Rule 8,

Here, r = 40%, $r_1$ = 15%

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

= ${40 × (100 - 15)}/100 - 15$

= ${40 × 85}/100 - 15$

= $3400/100$ - 15 = 19%

Answer: (b)

Gain % = $20 - 10 - {20 × 10}/100$

= 20 - 12 = 8%

Using Rule 8,

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

Profit or loss

= ${r × (100 - r_1)}/100 - r_1$

= ${20 × (100 - 10)}/100 - 10$

= 18 - 10 = 8% profit.

Answer: (a)

Marked price of article = Rs.x (let)

S.P. of article

= Rs.$(x × 90/100 × 108/100)$

$x × 90/100 × 108/100$ = 3402

$x = {3402 × 100 × 100}/{90 × 108}$

$x$ = Rs.3500

Answer: (a)

Marked price = Rs.x

Discount = Rs.$x/5$

S.P. = $x - x/5 = Rs.{4x}/5$

Loss = Rs.$x/10$

C.P. = ${4x}/5 + x/10$

= ${8x + x}/10 = Rs.{9x}/10$

Loss per cent = ${x/10}/{{9x}/10} × 100$

= $100/9 = 11{1}/9$%

Answer: (d)

Let Cost price = Rs.100

Marked price = Rs.120

Selling price = ${120 × 80}/100$ = Rs.96

Loss = Rs.4 and loss per cent = 4%

Using Rule 8,

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

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

= ${20 × (100 - 20)}/100 - 20$

= ${20 × 80}/100 - 20$

= –4% (–ve sign shows loss)

= 4% loss