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A dealer buys an old cooler listed at Rs. $950$ and gets a discount of $10 %$ . He spends Rs. $45$ for its repair. If he sells the cooler at a profit of $25 %$ , then the selling price of the cooler is

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Rs.

1125

Rs.

1215

Rs.

1251

Rs.

1512

answer is A.

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Detailed Solution

Given that a dealer buys an old cooler listed at Rs.

950

and gets a discount of

10 %

. He spends Rs.

45

for its repair and then he sells the cooler at a profit of

25 %

.
C.P.

=

Rs.

950 - 10 %

of Rs.

950

\Rightarrow

C.P=

950 - \frac{10 \times 950}{100}

\Rightarrow

C.P= 950 - 95

\Rightarrow

C.P= Rs.

855

Repairs cost

=

Rs.

45

∴

Net C.P.

=

Rs.

855 +

Rs.

45

\Rightarrow

C.P=Rs.

900

∵

Profit = 25 %

∵ S.P.

= C . P .

\times (1 + \frac{Profit %}{100})

\Rightarrow

S.P= 900

\times (1 + \frac{25}{100})

\Rightarrow

S.P= 900

\times (1 + \frac{1}{4})

\Rightarrow

S.P= 900

\times (\frac{4 + 1}{4})

\Rightarrow

S.P= 900

\times (\frac{5}{4})

∴

S.P.=

(\frac{900 \times 5}{4})

\Rightarrow

S.P=Rs.

1125

Thus, the selling price is Rs.1125.
Therefore, the correct option is 1.

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A dealer buys an old cooler listed at Rs.950 and gets a discount of 10%. He spends Rs. 45 for its repair. If he sells the cooler at a profit of 25%, then the selling price of the cooler is

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A dealer buys an old cooler listed at Rs. $950$ and gets a discount of $10 %$ . He spends Rs. $45$ for its repair. If he sells the cooler at a profit of $25 %$ , then the selling price of the cooler is