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

Answer: (d)

Let the C.P. be Rs.100

Marked price = Rs.130

S.P. = 85% of Rs.130

= Rs.$({85 × 130}/100)$ = Rs.110.5

Gain percent = 10.5%

Using Rule 8,

Here, r = 30%, $r_1$ = 15%

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

= ${30 × (100 - 15)}/100 - 15$

= ${30 × 85}/100$ - 15

= 25.5 - 15 = 10.5%

Answer: (a)

Let the CP of each shirt be Rs.100,

then SP = Rs.140.

New SP = ${140 × 90}/100$ = Rs.126

When S.P. is Rs.126,

C.P. = Rs.100

When S.P. is Rs.$13608/72$,

then C.P. = $100/126 × 13608/72$ = Rs.150

Answer: (a)

C.P. of article = Rs.100

Marked price = Rs.150

S.P. = ${150 × 60}/100$ = Rs.90

Loss = 100 - 90 = Rs.10 i.e. 10%

Using Rule 8,

Here, r = 50%, $r_1$ = 40%

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

= ${50 × (100 - 40)}/100 - 40$

= ${50 × 60}/100 - 40$

= –10% (–ve sign shows loss)

= 10% loss

Answer: (c)

Let the cost price be Rs.100.

Marked price = Rs.140

S.P. = ${75 × 140}/100$ = Rs.105

Profit per cent = 5%

Using Rule 8,

Here, r = 40%, $r_1$ = 25%

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

= ${40 × (100 - 25)}/100 - 25$

= ${40 × 75}/100 - 25$

= $3000/100$ - 25

= 30 - 25 = 5%

Answer: (b)

Let the marked price be x.

${x × 75}/100 = 200 × 135/100$

$x = {200 × 135}/75$ = Rs.360

Here, r = 25%, R = 35%, C.P. = Rs.200

Marked price

= Rs.$200 + 200 × ({r + R}/{100 - r} × 100)$%

= $200 + 200 × ({25 + 35}/{100 - 25})$ × 100%

= 200 + ${200 × 60}/75 × 100%$

= 200 + ${200 × 20 × 4}/100$

= 200 + 160 = Rs.360