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Ramesh bought a calculator with a 20% discount on the tag-price. He obtained 10% profit by selling it for Rs. 440. What was the tag-price?

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Rs.500

Rs.400

Rs.480

Rs.360

answer is A.

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Detailed Solution

It is given that discount on calculator is

20 %

. And

10 %

profit is obtained by selling for Rs. 440.
Let the tag price of the calculator be Rs.

x

.
Then C.P. of calculator after 20% discount

= 80 %

Rs . x

\Rightarrow

C.P.

= Rs . \frac{80 x}{100}

\Rightarrow

C.P.

= Rs . \frac{4 x}{5}

........(i)
Using the formula,

C . P . = S . P . \frac{100}{100 + Proft %}

∴ C . P . = Rs . (\frac{440 \times 100}{110})

\Rightarrow

C.P.

= Rs . 400

............(ii)
From (i) and (ii)

∴ \frac{4 x}{5} = 400

\Rightarrow x = \frac{400 \times 5}{4}

\Rightarrow x = Rs . 500

So, the tag price is Rs. 500.
Hence, the correct option is 1.

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Ramesh bought a calculator with a 20% discount on the tag-price. He obtained 10% profit by selling it for Rs. 440. What was the tag-price?

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