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Every month a wholesaler buy 5,000 kg sugar at (x) Rs./kg and 1,000 kg of tea at (x + 150) Rs./kg and total of sugar sell at 33.33% profit and total tea sell at 50% profit and total selling price of tea is Rs. 70,000 more than the total selling price of sugar, find overall profit earn in a quarter of the year by wholesaler?

Every month a wholesaler buy 5,000 kg sugar at (x) Rs./kg and 1,000 kg of tea at (x + 150) Rs./kg and total of sugar sell at 33.33% profit and total tea sell at 50% profit and total selling price of tea is Rs. 70,000 more than the total selling price of sugar, find overall profit earn in a quarter of the year by wholesaler? Correct Answer Rs. 4,20,000

Given:

Total of sugar sell at 33.33% profit

Total tea sell at 50% profit

The total selling price of tea is Rs.70,000 more than the total selling price of sugar.

Concept:

33.33% in ratio form = 1/3

Profit = selling price – cost price

Calculation:

Every month a wholesaler buy 5000 kg sugar at (x) Rs./kg 

Total of sugar sell at 33.33% profit

Total of sugar sell at = 5000 × (x) × (4/3)

⇒ Rs.(20000/3) × (x)

Every month a wholesaler buy 1,000 kg of tea at (x + 150) Rs./kg

Total tea sell at 50% profit

Total tea sell at = 1000 × (x + 150) × (150/100)

⇒ Rs.1500 × (x + 150)

Total selling price of tea is Rs.70,000 more than total selling price of sugar.

⇒ 1500 × (x + 150) – (20000/3) × (x) = 70,000 

⇒ x = 30

Sugar cost price (x) = 30 Rs./kg

Sugar selling price per kg = (4/3) × 30 

⇒ 40 Rs./kg

Tea cost price = 30 + 150

⇒ 180 Rs./kg

Total tea sell at 50% profit

Total tea sell = 180 × (150/100)

⇒ 270 Rs./kg

Profit = selling price – cost price

Profit = (5000 × 40) + (1000 × 270) – (5000 × 30) – (1000 × 180)

⇒ Rs.1,40,000 monthly

Quarter of year profit = 1,40,000 × (12/4)

⇒ Rs.4,20,000

∴ Overall profit earn in a quarter of the year by the wholesaler is Rs.4,20,000

 

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