Question

A car dealer sold a car at a discount of 100000. Even
after the discount, he made a profit of 15%. What is
the marked price of the car, if the marked price is
25% more than the cost price?
(A) 1000000
(B) 1115000
(C) 2500000
(D) 1250000

Answer 1

Answer:

(B) 1115000

Step-by-step explanation:

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Answer 2

Answer:

The correct answer is option(D)12,50,000

Step-by-step explanation:

Given,

Discount = 1,00,000

Profit % = 15%

Marked Price is 25% more than Cost price

To find,

Marked price of the car

Recall the formulas

Discount = Marked Price - Selling Price

Profit % = $\frac{Profit }{CP}X100$

Profit = SP -CP

Solution

Since discount = 1,00,000, we have

M.P - S.P = 1,00,000

M.P =  1,00,000 + S.P ----------------------(1)

Since Marked Price is 25% more than Cost price,

M.P = $\frac{25}{100}$CP +CP

M.P = $\frac{125}{100}$ CP----------------------------(2)

Comparing (1) and (2) we get

$\frac{125}{100}$ CP =  1,00,000 + SP

1.25CP = 1,00,000 +SP ---------------(3)

Again, since profit % is 15%

15 = $\frac{SP - CP}{CP} X100$

15CP = (SP -CP)100

15CP +100CP = 100SP

115CP = 100SP

CP = $\frac{100}{115}$ SP ------------------------(4)

Substituting in equation(3) we get

1.25×  $\frac{100}{115}$ SP= 1,00,000 +SP

$\frac{125}{115}$SP = 1,00,000 +SP

$\frac{125}{115}$SP - SP = 1,00,000

10SP = 1,00,000×115

SP = 11,50,000

MP = SP +1,00,000

= 11,50,000+1,00,000

= 12,50,000

Marked price = 12,50,000

Hence the correct answer is option(D)

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