Question

after allowing a discount of 15% on the Marked price of an article a dealer still makes a profit of 19 % by what percent is the marks above the cost price​

Answer 1

Answer:

40

Step-by-step explanation:

$\bf{\huge\mathcal{\boxed{\rm{\mathfrak\blue{Hey Mate:}}}}}$

Let the cost price be x .

S.P = x + 19%(x) = 1.19x

Let the m.p be y

y -15%(y) = y - 0.15y = 0.85y

0.85y = 1.19x

y = 1.4x

Now, mp - cp/cp = [ (y-x)/x ]*100

= [(1.4x-x)/x]*100

= [0.4*100]

= 40

Answer 2

Step-by-step explanation:

${ \sf{ \color{hotpink}{let \: the \: mp \: be \: rs \: x}}} \\ { \sf{ \color{coral}{discount = 15\% \: on \: mp}}} \\ { \sf{ \color{orchid}{ \therefore \: \: sp = reduced \: price }}} \\ { \sf{ \color{violet}{ = x \times \frac{(100 - 15)}{100} = \frac{17x}{20} }}} \\ { \sf{ \color{red}{now \: sp = \: rs \: \frac{17x}{20} }}} \\ { \sf{ \color{purple}{profit = 19\%}}} \\ { \sf{ \color{brown}{therefore \: cp = \frac{sp \times 100}{(100 + profit\%)} }}} \\ { \sf{ \color{tomato}{cp = \frac{17}{20}x \times \frac{100}{119} \: \: \: \: \: rs \frac{5}{7} x }}} \\ { \sf{ \color{gold}{mp \: is \: above \: cp \: by = \: x - \frac{5}{7} x = \frac{2}{7}x }}} \\ { \sf{ \color{hotpink}{ \therefore \: \% \: above \: cp = \frac{above \: price}{cp} \times 100 \: }}} \\ { \sf{ \color{lightpink}{ \frac{2}{7}x \times \frac{2}{7} x \times \frac{7}{5x} \times 100 = 40 }}} \\ \\ \\ { \huge{ \bf{ \color{navy}{answer \: is \: 40}}}}$

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