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A tea merchant blends two varieties of tea in the ratio of 5:4. The cost of first variety is ₹ 200 per kg and that of second variety is ₹ 300 per kg. - Mathematics

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प्रश्न

A tea merchant blends two varieties of tea in the ratio of 5:4. The cost of first variety is ₹ 200 per kg and that of second variety is ₹ 300 per kg. If he sells the blended tea at the rate of ₹ 275 per kg, find out the percentage of her profit or loss.

योग

उत्तर

Let quantity of first variety and second variety of tea be 5x kg and 4x kg respectively.

Cost of first variety of tea = ₹ (200 × 5x) = ₹ 1000x

Cost of second variety of tea = ₹ (300 × 4x) = ₹ 1200x

Total cost price of tea = ₹ (1000x + 1200x) = ₹ 2200x

Selling price of tea = ₹ (9x × 275) = ₹ 2475x

Here, S.P. > C.P.

Therefore, there is a profit of = ₹ (2475x – 2200x) = ₹ 275x

Profit % = `"Profit"/"C.P." xx 100 = (275x)/(2200x) xx 100` = 12.5%

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अध्याय 7: Comparing Quantities - Exercise [पृष्ठ २१२]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 7 Comparing Quantities
Exercise | Q 122. | पृष्ठ २१२

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