Question

40 pens are bought at 4 for ₹50 and all of them are sold at 5 for ₹80
Find: (i) c.p of one pen
(ii) s.p of one pen
(iii) profit made by selling one pen.
(iv) profit percent made by selling one pen.
(v) c.p of 40 pens
(vi) profit made by selling 40 pens
(vii) profit percent made by selling 40 pens
Are the results of (iv) and (viii) same?
What conclusion do you draw from the above result?

Answer 1

C.P. of one pen = 50/4 = 12.50

S.P. of one pen = 80/5 = 14.00

Profit = 14.00 - 12.50 =1.50

Profit percent = 1.5×100/12.5= 12%

C.P. of 40 pens = 12.5×40= Rs.500

S.P. of 40 pens = 14×40=Rs. 560

Profit percent = 560-500=60
60×100/500=12%

yes

Answer 2

28 % profit if 40 pens are bought at 4 for ₹50 and all of them are sold at 5 for ₹80

Step-by-step explanation:

40 pens are bought at 4 for ₹50 and all of them are sold at 5 for ₹80

4 Pens cost Price = rs 50

1 pen cost Price = 50/4 = Rs 12.5

40 Pens Cost Price = 40 * 12.5 = Rs  500

5 Pen selling Price = Rs 80

1 Pen selling price = 80/5 = Rs 16

40 Pen Selling Price = 40 * 16 = Rs 640

(i) c.p of one pen = Rs 12.5

(ii) s.p of one pen = Rs 16

(iii) profit made by selling one pen. = 16 - 12.5 = Rs 3.5

(iv) profit percent made by selling one pen. = (3.5/12.5) * 100 = 28%

(v) c.p of 40 pens = Rs  500

(vi) profit made by selling 40 pens = 640 - 500 = Rs 140

(vii) profit percent made by selling 40 pens = (140/500) * 100 = 28%

Yes results of (iv) and (viii) same

% Profit remain same for 1 pen or 40 pen

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