Question

Find the marked price when :
(i) S.P. = 1600 and discount = 20%
(ii) S.P. = 630 and discount = 10%​

Answer 1

$\huge\bold{\mathtt{Question⇒}}$

Find the marked price when :

(i) S.P. = ₹ 1600 and discount = 20%

(ii) S.P. = ₹ 630 and discount = 10%

$\huge\bold{\mathtt{Answers⇒}}$

(i) S.P. = ₹ 1600 and discount = 20%,

$\huge\bold{\mathtt{Given⇒}}$

• S.P. = ₹ 1600
• Discount = 20%

$\huge\bold{\mathtt{To\:find⇒}}$

The marked price.

$\huge\bold{\mathtt{Solution⇒}}$

Let the M.P. be ₹ x.

We know that:

• Discount = Discount % of M.P.
• M.P. - Discount = S.P.

So we can say-

$x-(20\%\:of\:x) = 1600$

$➳\:x-({\frac{20}{100}}×x) = 1600$

$➳\:x-({\frac{2\cancel{0}}{10\cancel{0}}}×x) = 1600$

$➳\:x-({\frac{2}{10}}×x) = 1600$

$➳\:x-{\frac{2x}{10}} = 1600$

$➳\:{\frac{10x-2x}{10}} = 1600$

$➳\:{\frac{8x}{10}} = 1600$

$➳\:8x = 1600×10$

$➳\:8x = 16000$

$➳\:x = {\frac{16000}{8}}$

$➳\:x = 2000\:\:\:{\large\red{★}}$

$\huge\bold{\mathtt{Hence⇒}}$

x = 2000

M.P. = ₹ x = ₹ 2000

$\huge\bold{\mathtt{Therefore⇒}}$

The marked price is ₹ 2000.

(ii) S.P. = ₹ 630 and discount = 10%,

$\huge\bold{\mathtt{Given⇒}}$

• S.P. = ₹ 630
• Discount = 10%

$\huge\bold{\mathtt{To\:find⇒}}$

The marked price.

$\huge\bold{\mathtt{Solution⇒}}$

Let the M.P. be ₹ y.

We know that:

• Discount = Discount % of M.P.
• M.P. - Discount = S.P.

So we can say-

$y-(10\%\:of\:y) = 630$

$➳\:y-({\frac{10}{100}}×y) = 630$

$➳\:y-({\frac{1\cancel{0}}{10\cancel{0}}}×y) = 630$

$➳\:y-({\frac{1}{10}}×y) = 630$

$➳\:y-{\frac{y}{10}} = 630$

$➳\:{\frac{10y-y}{10}} = 630$

$➳\:{\frac{9y}{10}} = 630$

$➳\:9y = 630×10$

$➳\:9y = 6300$

$➳\:y = {\frac{6300}{9}}$

$➳\:y = 700\:\:\:{\large\orange{★}}$

$\huge\bold{\mathtt{Hence⇒}}$

y = 700

M.P. = ₹ y = ₹ 700

$\huge\bold{\mathtt{Therefore⇒}}$

The marked price is ₹ 700.

$\huge\bold{\mathtt{Done}}$

$\large\bold{\mathtt{Hope\:this\:helps\:you.}}$

$\large\bold{\mathtt{Have\:a\:nice\:day.}}$