Question

8. Mr. A sells a bicylce to Mr. B at a profit of 20% and Mr. B sells it to Mr. C at a profit of 25%. If Mr. C pays 1,500, what did Mr. A pay for it?​

Answer 1

Question:-

Mr. A sells a bicycle to Mr. B at a profit of 20% and Mr. B sells it to Mr. C at a profit of 25%. If Mr. C pays 1,500, what did Mr. A pay for it?

Required Answer:-

Given:-

• Mr. A sold a bicycle to Mr. B at a profit of 20%
• Mr. B sold it to Mr. C at a profit of 25%
• Mr. C paid Rs. 1,500 for the bicycle.

To Find:-

• Mr. A's cost price of the bicycle.

Solution:-

According to the question:-

• CP of bicycle by Mr. C = SP of bicycle by Mr. B = Rs. 1,500

Calculating Mr. B's CP :-

We know that:-

• CP(profit) = {100/(100 + Profit%)} x SP

Here, we have:-

• Profit = 25%
• SP = Rs. 1,500

Substituting the values:-

CP(Mr. B) = {100/(100 + 25)} x 1500

=> CP = Rs.{(100/125) x 1500}

=> CP = Rs. 1,200

• Hence, cost price of the bicycle by Mr. B was Rs. 1,200

Again,

Calculating Mr. A's CP :-

• CP of bicycle by Mr. B = SP of bicycle by Mr. A

∴ SP of the bicycle by Mr. A = Rs. 1,200

We know that:-

• CP(profit) = {100/(100 + Profit%)} x SP

Here, we have:-

• Gain = 20%
• SP = Rs. 1,200

Substituting the values:-

CP(Mr. A) = {100/(100 + 20)} x 1200

=> CP = Rs.{(100/120) x 1200}

=> CP = Rs.1000

Therefore, Mr. A paid Rs. 1000 for the bicycle.

Answer 2

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Let the cost price of the bicycle for A be Rs x Given A sells the bicycle at a profit of 20% This becomes the CP for B. Hence CP of bicycle for B = (6x/5) Given B sells the bicycle to C at a profit of 25% This SP becomes CP for C. Given that CP of the bicycle for C is Rs 1500 Hence A paid Rs 1000 to buy the bicycle.