question

Question 1

A calculated his profit on selling price whereas B calculated on cost price. If their selling prices are same and A gets 25% profit and B gets 15% profit. Then find their selling price if difference between their profit is 275.

  2400

  2300

  2200

  2500

Ans. B

Sol. 

Difference of profit = (23×4–23×3) – (23×4–20×4) = – 3 × 23 + 20 × 4

= 11 × 25 = 275

Selling price = 23×4 × 25 = 2300
Question 2

In any given month a man earns a % commission on Ist sale of ₹1000 and on further sale he earn b%. In two following months his sales are ₹3000 and₹4000 and he earn commission ₹900 and ₹1300 respectively then a = ?

  10%

  40%

  22%

  25%

Ans. A 10%

Sol.

3000 - 2000 = 1000 - - - 400 (1300 - 900)

400 is 40% of 1000

b = 40%

In Ist month

(40/100)×200 = 800

(a/100)×100 = 100

a = (100/100)×100 = 10%

Question 3

A man purchased a book and a pen for 390. He sells the book at 10% profit and pen at 15% profit. If he earns a profit of ₹51.5. Then find difference between cost price.

  140

  130

  220

  110

Ans. D

Sol.

Difference in price = [(25 - 14)/(25+14)] ×390

= (11/39)×390 = 110

Question 4

A furniture store owner has determined that he can sell 100 chairs a month at a selling price of ₹200 each. For each rise of ₹4 in selling price he will sell 2 chairs less a month. Then find how many chairs he sold for a month if his monthly sale is ₹16800.

  240

  60

  100

  80

Ans. B

Sol. Cost No's Total Cost

(200 + 4k)×(100 – 2k) = 16800

(100)²– (2k)² = 8400

4k2 = 1600

K = 20

No. of Chairs = 100 – 2 × 20 = 60

Question 5

If discount on 10 oranges is equal to profit on 5 oranges and the cost price of 12 oranges is equal to selling price of 9 oranges. Find discount percentage.

  11.11%

  12.17%

  13.33%

  10%

Ans. A

Sol. 

C.P. of 12 articles = S.P. of 9 articles

Discount = (1.5/13.5) ×100 = 11.11%

Question 6

A man sells two articles one at loss of 10% and other at profit of 25%. If during whole transaction he earned profit of ₹70. Find cost price of both these articles. If cost price of 1^st article is equal to selling price 2^nd article.

  700, 560

  600, 560

  700, 600

  500, 600

Ans. A

Sol. 

(Make C.P. of I article = S.P. of II article)

Total profit = (9 – 10) + (10 – 8) = 1 (which is = 70)

C.P. of I article = 10 × 70 = 700

C.P. of II article = 8 × 70 = 560

Question 7

By how much percent above the cost price a shopkeeper should mark on his goods so as by allowing 5% discount, he may gain 33% profit.

  50%

  40%

  60%

  45%

It's '40%'
Ans. B

Question 8

A shopkeeper gives 1 item free with 15 items and a discount of 4% is also offered. Shopkeeper still gains 35%. Find how much percent did the shopkeeper marked on his goods above cost price.

  50%

  40%

  60%

  45%

It's '50%'
Ans. A

Sol.Let CP = 100

16 articles cost price = 1600

profit = (35/100) × 1600 = 560

selling price = 2160

15 article's selling price = 2160

1 article's selling price = 2160/15 = 144

cost price = 100

MP = (144/96)×100 = 150

50% above cost price

II Method

MP ×(15/16) ×(96/100) = CP × 135/100

MP/CP = 3/2

MP is more than CP = [(3 - 2)/2] ×100 = 50%

Question 9

A dealer offers a cash discount of 20% and still makes profit of 20%. He further allows four article free to 1 dozen find ratio of cost price to mark price.

  2:3

  3:4

  1:2

  3:5

It's '1:2'
Ans. C

Sol. 

MP ×(80/100) ×(12/16) = CP × (120/100)

CP/MP = 1/2

Question 10

A man published 3500 books for ₹3,50,000 as cost price. He gave 500 books free to main shopkeeper. He also allows a discount of 25% on marked price and 1 book free for every order of 29 books. If market price of each book ₹150. Find his profit%

  5.70%

  4.68%

  6.78%

  4.59%

It's '6.78%'
Ans. C

Sol.Cost Price = 350000

Books = 3000 (Remaining)

If there is 30 books then 29 are sold

If there is 3000 books then 2900 are sold

MP = 150

SP = 150 × (3/4)

Total SP = 150 ×(3/4) × 2900

= 326250

Loss = 350000 – 326250 = 23750

Loss% = (23750 /350000)×100 = 6.78%