Question

By selling an article for rs 1080 a man gives 10% discount and earn 20% profit, if the article is sold at 18% discount then find his new profit

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{New\:profit=75.6\:rupees}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Marked\: price \: of \: an \: article = 1080 \: rupees \\ \\ \tt: \implies Discount\%( d_{1})= 10\% \\ \\ \tt: \implies Profit\%( p_{1})= 20\% \\ \\\tt: \implies Discount\%( d_{2})= 18\% \\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies New \: profit =$

• According to given question :

$\text{Let \: cost \: price \: be \: x} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Marked \: price - 10\% \: of \: Marked \: price = Cost \: price + 20\% \: of \: Cost \: price \\ \\ \tt: \implies 1080 - \frac{10}{100} \times 1080 = x + \frac{20}{100} \times x \\ \\ \tt: \implies 1080 - 108 = x + 0.2x \\ \\ \tt: \implies 972 = 1.2 x \\ \\ \tt: \implies x = \frac{972}{1.2} \\ \\ \green{\tt: \implies x = 810 \: rupees} \\ \\ \bold{For \: New \: Profit : } \\ \tt: \implies New\:Profit = 1080 - 18\% \: of \: 1080 - 810 \\ \\ \tt: \implies New\:profit = 1080 - \frac{18}{100} \times 1080 - 810 \\ \\ \tt: \implies New\:profit =270 - 0.18 \times 1080 \\ \\ \tt: \implies New\:profit = 270 - 194.4 \\ \\ \green{\tt: \implies New\:profit = 75.6 \: rupees}$

Answer 2

Answer:

If the shopkeeper lost 10% selling at 1,080, his cost (divide by.9) was 1,200.

To realize a 10% profit, divide the product cost of 1,200 by .9 which equals a sale price of 1,333.33

10% profit on a sale of 133333133333 x .9), cost 1,200

20% profit divide by.8

30% profit divide by .7

33.33% profit divide by .6667, or multiply by 1.5

36% profit divide by .64

40% profit divide by 6

50% profit divide by.5, or multiply by 2

In other words, or numbers, it's easy to divide your cost by your desired profit margin. If your desired profit margin happens to be 23.48% subtract 23.48 from 100 = 76.52 move the decimal to the left = 7652 then divide your product cost by 7652

hope this help you