Question

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A sells a bicycle to B at a profit of 20% and B sells it to C at a profit of 5%. If C pays Rs.3780, what did A pay for it?

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Answer 1

Then the cost price of B = 100 + 20% of 100 = 120%. Given that B sells a bicycle to C at 5%. Then the cost price of

C = 120 + 5% of 120

=120 + 6 = 126. = 3000

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Answer 2

ANSWER:

Given:

• Profit earned by A while selling to B = 20%
• Profit earned by B while selling to C = 5%
• Cost Price for C = Rs 3780

To Find:

• Amount Paid by A(CP)

Solution:

Let the cost price be x.

We know that, A sold the bicycle to B at 20% profit.

So,

⇒ SP = [(100+Profit%)/100] * CP

⇒ SP for A = [(100+20)/100] * x

⇒ SP for A = [120/100] * x

⇒ SP for A = 1.2x

But, the amount at which A sold it, will be the price at which B purchased it.

⇒ SP for A = CP for B = 1.2x ------(1)

We know that, B sold it to C at 5% profit.

So,

⇒ SP = [(100+Profit%)/100] * CP

From (1),

⇒ SP for B = [(100+5)/100] * (1.2x)

⇒ SP for B = [105/100] * (1.2x)

⇒ SP for B = 1.05 * 1.2x

⇒ SP for B = 1.26x

But, the amount at which B sold it, will be the price at which C purchased it.

⇒ SP for B = CP for C = 1.26x ------(2)

Hence,

⇒ CP for C = 1.26x

But we are given that, C purchased it at Rs 3780

So,

⇒ CP for C = 1.26x = Rs3780

⇒ 1.26x = Rs3780

⇒ x = Rs(3780/1.26)

⇒ x = Rs(378000/126)

⇒ x = Rs3000 = CP for A

Hence, A purchased the bicycle at Rs3000

Formula Used:

• SP = [(100+Profit%)/100] * CP

Learn More:

• SP = [(100-Loss%)/100] * CP
• SP = [(100+Profit%)/100] * CP