Question 79

There are two motor cycles' (A and B) of equal cost price. Motorcycle A was sold at a profit of 14% and motorcycle B was sold for Rs.4,290/ more than its cost price. The net profit earned after selling both the motor cycles (A and B) is 20%. What is the cost price of each motorcycle ?

Solution

Cost price of both A and B be X.
SP of A = 1.14 CP of A
SP of B = CP of B + 4290
Net profit after selling both bikes is 20%
1.2 (X+X) = SP of A +SP of B
1.2 (X+X) = 1.14 CP of A + CP of B + 4290 = 1.14X + X + 4290
2.4X = 2.14 X + 4290
0.26 X =4290
X = 16,500
Option A is the correct answer.

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There are two motor cycles' (A and B) of equal cost price. Motorcycle A was sold at a profit of 14% and motorcycle B was sold for Rs.4,290/­ more than its cost price. The net profit earned after selling both the motor cycles (A and B) is 20%. What is the cost price of each motorcycle ?

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There are two motor cycles' (A and B) of equal cost price. Motorcycle A was sold at a profit of 14% and motorcycle B was sold for Rs.4,290/ more than its cost price. The net profit earned after selling both the motor cycles (A and B) is 20%. What is the cost price of each motorcycle ?