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Question
Gopi sold a laptop at 12% gain. If it had been sold for ₹ 1200 more, the gain would have been 20%. Find the cost price of the laptop
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Solution
Let the cost price of the laptop be ‘x'
Gain = 12%
∴ Selling price (S.P) = `"C.P"( 1 + ("gain"%)/100)`
Substituting in formula = `x(1 + 12/100)`
= `x((100 + 12)/100)`
= `112/100 x`
If the selling price was 1200 more
i.e `112/100 x + 1200`, the gain is 20%
i.e new selling price = `x(1 + 2/100)`
= `112/100 x + 1200`
= `x(1 + 20/100)`
= `120/100x`
∴ 1200 = `120/100 x - 112/100 x`
1200 = `8/100 x`
∴ x = `(1200 xx 100)/8`
= 15000
Cost price of the laptop is ₹ 15,000/-
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