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The Difference Between Selling an Article at 8% Profit and at 12% Profit is Rs.72. Find the Cost Price of the Article and Also the Two Selling Prices. - Mathematics

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प्रश्न

The difference between selling an article at 8% profit and at 12% profit is Rs.72. Find the cost price of the article and also the two selling prices.

योग
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उत्तर

Let C.P. of an article be Rs.100
Profit = 8%
∴ S.P. 
= Rs.100 + 8% of Rs.100
= Rs.100 + Rs.8
= Rs.108
1 Again, Profit = 12%
∴ S.P. 
= Rs.100 + 12% of Rs.100
= Rs.100 + Rs.12
= Rs.112
Difference between the two S.P.s
= Rs.112 - Rs.108
= Rs.4
when difference is Rs.4, then C.P.
= Rs.100
∴ when difference is Rs.72, then C.P.
= `(100 xx 72)/(4)`
= Rs.1800
∴ The cost price of the article is Rs.1800
First S.P.
= Rs.1800 + 8% of Rs.1800

= Rs.1800 + `(8)/(100) xx 1800`
= Rs.1800 + Rs.144
= Rs. 1944
Second S.P.
= Rs.1800 + 12% of Rs.1800
= Rs.1800 + `(12)/(100) xx 1800`
= Rs.1800 + Rs.216
= Rs.2016.

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To Find C.P., When S.P. and Gain (Or Loss) Percent Are Given
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Profit , Loss and Discount - Exercise 2.2

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 2 Profit , Loss and Discount
Exercise 2.2 | Q 13

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