Question

5) A shopkeeper bought a refrigerator for Rs 9000. After allowing the discount of 20% on
it, he gains 30 %. Find the marked price of the refrigerator.​

Answer 1

Step-by-step explanation:

Given:-

• A shopkeeper bought a refrigerator for Rs.9000

• Discount = 20%

• Profit % = 30%

To Find:-

• The marked price of the refrigerator.

Solution:-

Cost of refrigerator = Rs.9000

Profit % = 30%

$\rm\dashrightarrow Profit = Profit\% \: of \: CP$

$\rm = 30\% \: of \: 9000$

$\rm = \dfrac{30}{100} \times 9000$

$\rm = 30 \times 90$

$\rm\therefore Profit = Rs.2700$

$\rm Now,\: Selling \: Price = Profit + Cost \: Price$

$\rm \dashrightarrow SP = 2700 + 9000$

$\rm \dashrightarrow SP = Rs.11700$

$\rm Given,\: Discount\% = 20\%$

$\rm \dashrightarrow Marked \: Price \: (MP) = \dfrac{SP \times 100}{100 - d\%}$

$\rm \dashrightarrow MP = \dfrac{11700 \times 100}{100 - 20}$

$\rm \dashrightarrow MP = \dfrac{1170000}{80}$

$\rm \dashrightarrow MP = 14625$

$\underline{\boxed{\purple{\rm \therefore Marked \: price \: of \: the\: refrigerator = Rs.14625}}}$

Additional Formulas:-

• Discount = Marked Price - Selling Price

If Discount % and Marked Price are given:-

• $\rm Discount = \dfrac{Discount}{100} \times Marked Price$