Study the following information carefully and answers the questions given below.

The Bar graph-1 given below shows the profit percentage earned on selling two different products M and N.

The Bar graph-2 given below shows the discount percentage offered by five wholesalers on these products.

Note:- Mark price of each product sold by each wholesaler is same while the cost price of product for each wholesaler may vary.

1) The profit percentage of product M sold by R is 20%, if the cost price of product M sold by S is Rs. 720 more than the cost price of same product sold by R, then find the cost price of product M sold by wholesaler S?

a) Rs. 3950

b) Rs. 3180

c) Rs. 4040

d) Rs. 3360

e) None of these

2) If the profit percentage of product M sold by wholesaler T and profit percentage of product N sold by wholesaler S is 63% and 25% respectively. Then find the ratio between the cost price of product M sold by wholesaler T to the cost price of product N sold by wholesaler S?

a) 7 : 2

b) 8 : 21

c) 3 : 7

d) 5 : 6

e) None of these

3) In the question, two quantities I and II are given. You have to solve both the quantities to establish the correct relation between Quantity-I and Quantity-II and choose the correct option.

Quantity I: Selling price of product N sold by R is same as cost price of product M sold by R. Find the profit percentage earned by R on selling product M?

Quantity II: Selling price of product N sold by S is same as cost price of product M sold by S. Find the profit percentage earned by S on selling product M?

a) Quantity I > Quantity II

b) Quantity I < Quantity II

c) Quantity I ≤ Quantity II

d) Quantity I = Quantity II

e) Quantity I ≥ Quantity II

4) The wholesaler Q marked the price of product N 2 times of its cost price. If on selling both the products he earns a total profit of 25%, then find the cost price of product M sold by Q is what percentage more or less than the selling price of product N sold by Q?

a) 16%

b) 10%

c) 8%

d) 21%

e) None of these

5) In the question, two quantities I and II are given. You have to solve both the quantities to establish the correct relation between Quantity-I and Quantity-II and choose the correct option.

Quantity I: Selling price of product N sold by R is same as cost price of product M sold by R. Find the profit percentage earned by R on selling product M?

Quantity II: If selling price of product M sold by Q is Rs. 450 more than selling price of product N sold by Q. Q has also offered a discount of 30% on product N. Then find the profit percentage earned by Q on selling product M if the average of cost price of both the products for Q is Rs. 1925?

a) Quantity I > Quantity II

b) Quantity I < Quantity II

c) Quantity I ≤ Quantity II

d) Quantity I = Quantity II

e) Quantity I ≥ Quantity II

Answers :

1) Answer: D

Let mark price of each product sold by each seller is = 100x

So, cost price of product M sold by S is = 100x × 84/110 = 840x/11

Now, cost price of product M sold by R = 100x × 72/120 = 60x

Now, according to the question,

(840x/11) - 60x = 720

(840x - 660x) / 11 = 720

180x/11 = 720

x = 44

Cost price of product M sold by S = 840 × 44/11 = Rs. 3360

Hence, the required answer is = Rs. 3360

2) Answer: D

Let mark price of each product is = x

Cost price of product M sold by wholesaler T is = x × 81.5/163 = 0.5x

Simi, cost price of product N sold by wholesaler S is = x × 75/125 = 0.6x

So, the required ratio is = 0.5x : 0.6x = 5 : 6

Hence, the required answer is = 5 : 6.

3) Answer: A

Quantity I:

Let Mark price of each product is = x

Selling price of product N sold by R = x × 60/100 = 0.6x

So, cost price of product M sold by R = 0.6x

Now, selling price of product M sold by R = x × 72/100 = 0.72x

So, the required percentage is = (0.72x – 0.6)/0.6x × 100

= 0.12/0.6 × 100 = 20%

Hence, the required answer is = 20%.

Quantity II:

Let Mark price of each product is = x

Selling price of product N sold by S = x × 75/100 = 0.75x

So, cost price of product M sold by S = 0.75x

Now, selling price of product M sold by S = x × 84/100 = 0.84x

So, the required percentage is = (0.84x – 0.75x)/0.75x × 100

= 0.9/0.75 × 100 = 12%

Hence, the required answer is = 12%.

Hence, Quantity I > Quantity II.

4) Answer: B

Let Marked price of each product is = 100x

So, cost price of product N sold by Q = 100x/2 = 50x

Now, selling price of product N sold by Q = 50x × 120/100 = 60x

Selling price of product M sold by Q = 100x × 85/100 = 85x

Let cost price of product M sold by Q = a

Then, according to the question,

= (50x + a) × 125/100 = 60x + 85x

= (50x + a) × 5/4 = 145x

= (50x + a) = 145x × 4/5

= (50x + a) = 116x

= a = 66x

So, the required percentage is = (66x – 60x)/60x × 100

= 6/60 × 100 = 10%

Hence, the required answer is = 10%.

5) Answer: B

Quantity I:

Let Mark price of each product is = x

Selling price of product N sold by R = x × 60/100 = 0.6x

So, cost price of product M sold by R = 0.6x

Now, selling price of product M sold by R = x × 72/100 = 0.72x

So, the required percentage is = (0.72x – 0.6)/0.6x × 100

= 0.12/0.6 × 100 = 20%

Hence, the required answer is = 20%.

Quantity II:

Let Marked price of both products = x

So, selling price of product M sold by Q = x × 85/100 = 0.85x

Similarly, selling price of product N sold by Q = x × 70/100 = 0.70

Now, according to the question,

= 0.85x – 0.70 = 450

= 0.15x = 450

= x = Rs. 3000

Now, cost price of product N sold by Q = (0.70 × 3000)/120 × 100 = Rs. 1750

And cost price of product M sold by Q = 1925 × 2 – 1750

= 3850 – 1750 = Rs 2100

So, the profit percentage earned on selling product M is,

= [(0.85 × 3000) – 2100)]/2100 × 100

= (2550 – 2100)/2100 × 100

= 450/2100 × 100

= 21% approximately

Hence, the required answer is = 21% (approx.)