Sita sells a calculator to Gita at a gain of 17 % and Gita sells it to Anu at a loss of 25 % . If An

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7.Profit and Loss

medium

Sita sells a calculator to Gita at a gain of $17 \%$ and Gita sells it to Anu at a loss of $25 \%$. If Anu pays $Rs.\, 1842.75$ for it, then what did Sita pay for it? (in $Rs.$)

A

$2080$

B

$2100$

C

$2110$

D

None of these

Solution

Here, $m=17, n=-25, z=Rs. 1842.75$

cost price of calculator to Sita

$=\left[\frac{100^{2} z}{(100+m)(100+n)}\right]=\frac{100 \times 100 \times 1842.75}{(100+17)(100-25)}$

$=\frac{100 \times 100 \times 1842.75}{117 \times 75}=Rs. 2100$

Standard 13

Quantitative Aptitude

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