model 4 mixed discount problems of marked price Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (c)

Let the market price of the cooler be x,

According to the question,

(12 - 10)% of x = 35

${x × 2}/100 = 35$

$x = 3500/2$ = Rs.1750

Answer: (a)

Let the marked price of each pen be x

Total cost price of 40 pens = Total marked price of 36 pens = 36x

Selling price of 1 pen after 1% discount

= (1–0.01)x = 0.99x

Selling price of 40 pens

= 40 × 0.99x = 39.6x

Profit = ${39.6 - 36}/36 × 100$

= ${3.6}/36 × 100 = 10%$

Answer: (d)

Discount on Rs.36000

= ${36000 × 7}/100$ = Rs.2520

Discount on first Rs.20,000

= ${20000 × 8}/100$ = Rs.1600

Discount on next Rs.10,000

= ${10,000 × 5}/100$ = Rs.500

Discount on remaining Rs.6,000

= 2520 - (1600 + 500) = Rs.420

∴ Required percent

= ${420 × 100}/6000$ = 7%

Answer: (d)

Printed price = Rs.900

On 40% discount

= $900 - {900 × 40}/100$ = 900 - 360

C.P. for retailer = 540

S.P. = 900

Profit = 900 - 540 = 360

Gain % = ${360 × 100}/540$

= $200/3 = 66{2}/3$%

Answer: (b)

First discount = 20%

Price after first discount

= Rs.$(1500 - 20/100 × 1500)$

= Rs.(1500 - 300) = Rs.1200

Let the additional discount be x%

$(1200 - {x × 1200}/100)$ = 1104

1200 - 12x = 1104

12x = 1200 - 1104 = 96

$x = 96/12 = 8%$

Answer: (d)

Let the C.P. of each article be Rs.1

For 15 books, the tradesman gives 1 book free.

C.P. of 15 books = Rs.16

S.P. of 15 books

= $16 × 135/100$ = Rs.$108/5$

S.P. of 1 book

= $108/{5 × 15}$ = Rs.$36/25$

Now, 96% of marked price = $36/25$

Marked price

= ${36 × 100}/{25 × 96} = 3/2 = Rs.1.5$

The required % increase

= ${0.5}/1 × 100$ = 50%