Math, asked by Anonymous, 8 months ago

The cost price of a machine is ₹5,400 . if the machine is sold at a profit of 10% , find the profit and the selling price.

Answers

Answered by ManuAgrawal01

Given:-

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Cost Price (CP) = ₹5,400 and Profit % = 10%

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To Find:-

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the profit and the selling price

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STEP BY STEP EXPLANATION:-

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$\sf profit = 10\% \: of \: cp \: = \frac{10}{100} \times ₹5400 = ₹540 \: \: \: \: \: \: \\ \\ \\ \\ \sf sp = cp + profit = ₹5400 + ₹540 = ₹5920 \: \: \: \: \: \: \\ \\ \\ \\ \sf in \: the \: above \: process \: we \: have \: found \: the \: profit \: \: \: \: \: \: \: \: \\ \sf \: and \: then \: added \: it \: to \: the \: cost \: price \: to \: get \: the \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf price . we \: can \: also \: find \: the \: selling \: price \: directly \: \: \: \: \: \: \: \: \\ \sf by \: using \: the \: method \: given \: below : \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ \sf sp = cp \times \bigg( \frac{100 + profit}{100} \bigg) \implies sp = ₹54 00 \times \bigg( \frac{100 + 10}{100} \bigg) \: \: \: \: \: \: \\ \\ \\ \\ \sf\implies sp = ₹5400 \times \bigg( \frac{110}{100} \bigg) \: \: \: \: \: \: \\ \\ \\ \\ \sf \implies sp = ₹5940$

Answered by RvChaudharY50

216

Solution :-

→ CP of machine = Rs.5400

→ Profit % = 10 %

As we know that, gain or loss % is always on CP .

So,

→ Total gain in Rs. = 10% of 5400

→ Profit = (10 * 5400) / 100 = Rs.540 (Ans.)

Now,

→ Selling Price = Cost Price + Profit in Rs.

→ SP = CP + Profit

→ SP = 5400 + 540

→ SP = Rs.5940 (Ans.)

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Formula :-

→ SP = {CP * (100 + P%)} / 100

→ SP = { 5400 * (100 + 10)}/100

→ SP = (5400 * 110)/100

→ SP = 54 * 110

→ SP = Rs.5940 .(Ans.)

And,

→ Profit = SP - CP

→ Profit = 5940 - 5400

→ Profit = Rs.540 .(Ans.)

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