Question

transportation cost of a bike is 25% of itself.at the time of selling shopkeeper marks the price of bike 20% above and allows a discount12.50%.if transportation cost of bike increased by 20% and selling price of bike remains the same then profit of shopkeeper reduced by rs.2400.find the total cost of price.

Answer 1

Answer:

Step-by-step explanation:

Let take cost of bike = 100X

Now, 100x+25x = 125x is cost price

125x*120/100 = 150x

now the marked price is = 150x

marked price - discount = selling price

150x - 150*1/8 = 131.25x = selling price

profit = selling price - cost price

131.25x - 125x=6.25x profit

if 20% increase in transportation cost of bike then

(100x+25x)*120/100 =  130x

now the first and second case

131.25x-130x= 1.25x profit

6.25x - 1.25x = 2400

5x= 2400

x =480

cost of bike is 125*480 = 60,000

Answer 2

Total cost price = Rs.60,000

Given:

Transportation cost = 23% of itself

Mark up = 20%

Discount = 12.50%

Transportation cost increased by 20% and SP remains same.

Reduction in profit = Rs. 2400

To find:

CP of bike

Solution:

Let the cost of bike = 100X

Now, Transportation cost is 25% of CP so, it will be added to original CP to calculate Final CP.

CP = Cost of bike + Transportation cost

100x+25/100 *100x =  100x + 25 x = 125x

Now, there is a mark up of 20% which will be added to CP to calculate SP

Marked price = CP * (100 + Mark up percent/100)

125x*(100 + 20/100)

=125x*120/100 = 150x

now the marked price is = 150x

marked price - discount = selling price

selling price = 150x - 150* (12.50/100) = 150x - 150* 1/8 = 150x - 18.75

= Rs. 131.25x

profit = selling price - cost price

Profit = 131.25x - 125x=6.25x

if 20% increase in transportation cost of bike then

New Cost price = Earlier cost price + transportation =  (125x)*120/100 =  130x

now from the first and second case

New profit = SP - New CP

New profit = 131.25x-130x= 1.25x

According to question there is a difference of Rs. 2400 in both profits

Old profit - New profit = 2400

6.25x - 1.25x = 2400

5x= 2400

x =480

cost of bike = 125x =  125*480 = Rs.60,000

Total cost price = Rs.60,000

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