Question

A trader purchases 70 Kg of tea at the rate of ₹ 200/Kg and another 30 kg at the rate of ₹ 250/Kg. He pays a sales tax of 4% on the transaction. He mixes both of them and sells the product at the rate of ₹ 240/Kg. What is the percentage gain or loss? (find approximate value)

Answer 1

gain



solution :

tea 1 = 70kg x 200 =14000
tea 2 = 30kg x 250 = 7500

total = 21500


tax =4% = 4/100×21500 = 4 x 215= 860

sub total = 21500+860 = 22360



price per kg = 22360/100 (as total of 100kg of tea)

= 223.6

sp = 240 - 223.6 = gain of Rs. 16.4 per kg

Answer 2

C.P of 70 kgs of tea = 200 ×70

Tea-powder at 200/kg  = 14,000 Rs

C.P of 30 kgs of tea = 250×30

Powder at 250/kgs = 7,500 Rs

C.P of 100kgs of tea powder = 14,000+7,500  = 21,500 Rs

Sales tax = 4%

Tax amount = 4/100 ×21500 = 860 Rs

Bill amount = C.P + Tax = 21,500 + 860 – 22,360 Rs

Total C.P of 100 kgs of tea-powder  =  22,360 Rs
S.P of 100 kgs of tea-powder at Rs 240/kg = 240 ×100 = 24,000 Rs

S.P > C.P

Therefore, profit is,

Profit = S.P-C.P

= 24,000-22,360

= 1,640 Rs

Profit % = (profit%x100)/c.p. = I = (1640×100)/2360  = 7.3%