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Alik [6]
3 years ago
7

A dealer bought a refrigerator for $ 11515. After allowing a discount of 16% on its marked price, he gains 20%. Find the marked

price of the refrigerator.​
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

Given:

Cost price of refrigerator = $11515

Discount rate 16% on its marked price.

Profit = 20%

To find:

The marked price of the refrigerator.​

Solution:

The cost price (C.P.) is $11515 and the profit percent is 20%. So, the selling price is:

S.P.=C.P.+20\%\text{ of }C.P.

S.P.=11515+\dfrac{20}{100}(11515)

S.P.=11515+2303

S.P.=13818

Let x be the marked price of the refrigerator.​ Then,

S.P.=x-16\%\text{ of }x

13818=x-\dfrac{16}{100}x

13818=x-0.16x

13818=0.84x

Divide both sides by 0.84.

\dfrac{13818}{0.84}=x

16450=x

Therefore, the marked price of the refrigerator is $16450.

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