A tape-recorder is sold for Rs. $2, 760$ at a gain of $15$ % and a C.D. player is sold for Rs. $3, 240$ at a loss of $10$ %. Find the C. P. of the tape-recorder

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Solution

In the first transaction,
Profit % $= \frac{S . P . - C . P .}{C . P} \times 100$

$\Rightarrow \frac{2, 760. - C . P .}{C . P .} \times 100 = 15$

$\Rightarrow 2, 760 - C . P . = 0.15 C . P .$
$\Rightarrow 1.15 C . P . =$ Rs. $2, 760$
$\Rightarrow C . P . =$ Rs. $2400$

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Similar questions

A tape-recorder is sold for Rs. 2,760 at a gain of 15% and a C.D. player is sold for Rs. 3,240 at a loss of 10%. Find : (i) the C.P. of the tape-recorder. (ii) the C.P. of the C.D. player. (iii) the total C.P. of both. (iv) the total S.P. of both. (v) the gain % or the loss% on the whole.

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. Calculate profit or loss percent.

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A tape-recorder is sold for Rs. 2,760 at a gain of 15% and a C.D. player is sold for Rs. 3,240 at a loss of 10%. Find the C. P. of the tape-recorder

In the first transaction, Profit % =S.P.−C.P.C.P×100⇒2,760.−C.P.C.P.×100=15⇒2,760−C.P.=0.15C.P.⇒1.15C.P.= Rs. 2,760⇒C.P.= Rs. 2400

A tape-recorder is sold for Rs. $2, 760$ at a gain of $15$ % and a C.D. player is sold for Rs. $3, 240$ at a loss of $10$ %. Find the C. P. of the tape-recorder

In the first transaction,
Profit % $= \frac{S . P . - C . P .}{C . P} \times 100$

$\Rightarrow \frac{2, 760. - C . P .}{C . P .} \times 100 = 15$

$\Rightarrow 2, 760 - C . P . = 0.15 C . P .$
$\Rightarrow 1.15 C . P . =$ Rs. $2, 760$
$\Rightarrow C . P . =$ Rs. $2400$