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Two Dealers a and B Selling the Same Model of Refrigerator Mark Them Under the Same Selling Price. a Gives Successive Discount of 25% and 5% and B Gives Successive Discounts of 10% and 20% - Mathematics

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प्रश्न

Two dealers A and B selling the same model of refrigerator mark them under the same selling price. A gives successive discount of 25% and 5% and B gives successive discounts of 10% and 20%. From whom is it more advantageous to purchase the refrigerator?

योग
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उत्तर

Let the marked price be Rs.100
For dealer A, successive discounts = 25%, 5%
S.P. = `(1 - "D"_1/100)(1 - "D"_2/100)"M.P."`

= `(1 - 25/100)(1 - 5/100)100`

= `(75)/(100) xx (95)/(100) xx 100`
= Rs.71.25
Total discount
= Rs.100 - Rs.71.25
= Rs.28.50
For dealer B, successive discounts = 10%, 20%
S.P. = `(1 - "D"_1/100)(1 - "D"_2/100)"M.P."`

= `(1 - 10/100)(1 - 20/100)100`

= `(90)/(100) xx (80)/(100) xx 100`
= Rs.72
Total discount
= Rs.100 - Rs.72
= Rs.28
∴ Discount from dealer A is better.

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अध्याय 2: Profit , Loss and Discount - Exercise 2.4

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 2 Profit , Loss and Discount
Exercise 2.4 | Q 35

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