Question

Ram gains Rs. 100 due to 15% discount in a plant . If he gains Rs. 400 without any discount , find the marked price of the plan

Answer 1

Step-by-step explanation:

let x be the marked price

for 15% discount Ram gains Rs 100.

$x \times \frac{15}{100}$

is the discount

let y is price without any profit

$x - y = 400$

eq 1

$x - x \times \frac{15}{100} - y = 100$

$\frac{17}{20} x - \frac{20}{20} y = 100$

$17x - 20y = 2000$

eq 2

from eq1

$x = 400 + y$

substitute x value in eq 2

$17(400 + y) - 20y = 2000$

$- 3y = 2000 - 6800$

$y = 4800 \div 3$

$y = 1600$

$x = 400 + y$

$x = 400 + 1600$

$x = 2000$

Therefore marked price is Rs. 2000