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?

Rs 2080

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Rs 2100

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Rs 870

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Rs 3452

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None of the above

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Solution

The correct option is B Rs 2100
Here, $m = 17, n = - 25, z = R s 1842.75$
$∴$ Cost price of calculator to Sita
= $[\frac{100^{2} z}{(100 + m) (100 + n)}]$
= $\frac{100 \times 100 \times 1842.75}{(100 + 17) \times (100 - 25)}$
= $\frac{100 \times 100 \times 1842.75}{117 \times 75}$ = $R s .2100$

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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?

The correct option is B Rs 2100Here, m=17,n=−25,z=Rs1842.75 ∴ Cost price of calculator to Sita= [1002z(100+m)(100+n)]= 100×100×1842.75(100+17)×(100−25) = 100×100×1842.75117×75 = Rs.2100

The correct option is B Rs 2100
Here, $m = 17, n = - 25, z = R s 1842.75$
$∴$ Cost price of calculator to Sita
= $[\frac{100^{2} z}{(100 + m) (100 + n)}]$
= $\frac{100 \times 100 \times 1842.75}{(100 + 17) \times (100 - 25)}$
= $\frac{100 \times 100 \times 1842.75}{117 \times 75}$ = $R s .2100$