A quantity of tea is sold at Rs. 5.75 per kilogram. The total gain by selling the tea at this rate is Rs. 60. Find the quantity of tea being sold if a profit of 15% is made on the deal.
Let x be original cost of the radio.
The solding price = (100+20)x=120x
If , it is sold for thrice the price ,then 3*120x=360x
So, gain percent is (360-100)=260%.
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A man sells an article at a profit of 25%. If he had bought it at 20 % less and sold it for Rs.10.50 less, he would have gained 30%. Find the cost price of the article?
Let the C.P = Rs.x.
1st S.P =125% of Rs.x.= 125*x/100= 5x/4.
2nd C.P=80% of x. = 80x/100 =4x/5.
2nd S.P =130% of 4x/5. = (130/100* 4x/5) = 26x/25.
So, 5x/4-26x/25 = 10.50 or x = 10.50*100/21=50.
=> C.P = Rs. 50.
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A grosser purchased 80 kg of rice at Rs.13.50 per kg and mixed it with 120 kg rice at Rs. 16 per kg. At what rate per kg should he sell the mixture to gain 16% :
C.P of 200 kg of mix. = Rs (80*13.50+120*16) = Rs.3000.
S.P = 116% of Rs 3000= Rs (116*3000/100) = Rs.3480.
Rate of S.P of the mixture = Rs.3480/200.per kg. = Rs.17.40 per kg.
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The cost price of two types of tea are Rs. 180 per kg and Rs. 200 per kg respectively. On mixing them in the ratio 5:3, the mixture is sold at Rs. 210 per kg . In the whole transaction, the gain percent is
Mixing ratio=5:3
1st type tea=5/8
2nd type of tea=3/8
therefore 1 kg of mixed tea price/kg=>180*(5/8)+200*(3/8)=187.5.
total profit=210-187.5=22.5
therefore % of profit=(22.5/187.5)*100=12%
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A trader sells total 315 tv sets.he sells black and white tv sets at a loss of 6% and color tv sets at a profit of 15% thus he gains 9% on the whole.what are the no. of blak and white sets which he has sold?
Lets assume the cost = Rs x.
After giving 25% discount it becomes 0.75x
Selling price = 0.75x which gives 25% profit...(1)
Thus, after giving 10% discount it becomes 0.90x
Selling price = 0.90x ......(ii)
From eq. (1) and (2),
0.90x will gives = (25 * 0.90x)/ (0.75x) = 30 % profit.
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A shopkeeper allows a discount of 10% on the marked price and still gains 17% on the whole. Find at what percent above the cost price did he mark his goods.
Lets assume the cost price = Rs. 100.
So SP = 117 (Given gain 17% on the whole.)
Lets assume the marked price = Rs. x
So, 90% of x = 117 (10% discount on marked price)
=> 90/100 * x = 117
=> x = 130
So, shopkeeper marked his goods 30% above the CP.
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