On selling a fan at 8% loss and an iron box at 18% gain, a man gains rs.346.If he sells the fan at 7% gain and the iron box at 15% gain, then he gains rs.450. The actual price of the iron box is approximately?

On selling a fan at 8% loss and an iron box at 18% gain, a man gains rs.346.If he sells the fan at 7% gain and the iron box at 15% gain, then he gains rs.450. The actual price of the iron box is approximately?
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1 Answer

Answer :

Let the cost price of the fan be Rs X and Cost of the iron box beRs Y

Then 18%Y – 8% X=346 ; That is 18Y-8X=34600 1

And 15%Y+8% X=450 ; that is 15Y+8X=450002

Solving 1 and 2 we get X=1102.275 Y=2412.12

therefore cost of ironbox is = 2412(approx.)
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Dharan bought a donkey and a carriage for Rs.3000. He sold the donkey at a gain of 20% and the carriage at a loss of 10%, thereby gaining 2% on the whole. Find the cost of the donkey?

Description : Dharan bought a donkey and a carriage for Rs.3000. He sold the donkey at a gain of 20% and the carriage at a loss of 10%, thereby gaining 2% on the whole. Find the cost of the donkey? 

Last Answer : Let the cost price of the donkey be Rs ‘X’  Then cost price of the carriage = Rs(3000-X)  20% of X – 10% of (3000 – X) = 2% of 3000  X/5 – (3000-X)/10 = 60  2X – 3000 + X = 600  X = 1200  Hence cost price of the donkey = Rs.1200

Gokul purchases 10 goats at Rs. 1500 each. 1 goat died. He sold 2 goats at 5% loss, at what rate he should sale the remaining goat, so as to gain a Profit of 10 % on the total Cost?

Description : Gokul purchases 10 goats at Rs. 1500 each. 1 goat died. He sold 2 goats at 5% loss, at what rate he should sale the remaining goat, so as to gain a Profit of 10 % on the total Cost?

Last Answer : Selling Price with Profit of 10 % of total cost = 1500*10*110/100 = 16500 Selling Price of 2 goat with 5% loss= 3000*95/100 = 2850 Difference = 16500-2850= 13650 So rate of the goats for selling to gain 10% profit on total = 13650/7 = Rs. 1950

Reema buys dress for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is: A. no profit, no loss B. 20% profit C. less than 20% profit D. more than 20% profit

Description : Reema buys dress for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is: A. no profit, no loss B. 20% profit C. less than 20% profit D. more than 20% profit

Last Answer : Answer – D (more than 20% profit) Explanation – Let the article be worth Rs. x. C.P. = 90% of Rs. x. = Rs.(9/10)x S.P. = 110% of Rs.x = Rs.(11/10)x Gain = Rs.11/10x- 9/10x=(1/5)x gain %=(2/5x) x (10/9x) x 100 =44.44% >20%

In a certain occupation, the profit is 110% of the cost. If the cost increases by 13% but the selling price remains constant, approximately what percentage of the selling price is the profit?

Description : In a certain occupation, the profit is 110% of the cost. If the cost increases by 13% but the selling price remains constant, approximately what percentage of the selling price is the profit?

Last Answer :  Let Cp= RS.100 Profit= Rs 110 Sp= Rs 210 New Cp= 113%0f Rs.100=Rs. 113 New SP= Rs. 210 Profit= Rs. (210-113)= Rs. 97 Required %= 97/210*100=46%

In a shop the profit is 160% of the cost. If the cost increased by 12.5% but the selling price remains constatnt, approximately what percentage of the selling price is the profit?

Description : In a shop the profit is 160% of the cost. If the cost increased by 12.5% but the selling price remains constatnt, approximately what percentage of the selling price is the profit?

Last Answer : Let cost price be ‘x’  Then profit = Rs 160  Selling price = Rs.260  New cost price = 112.5% 0f Rs.100  = (112.5x/100 * 100) = Rs.112.5  New selling price = Rs.260  Profit = Rs(260 – 112.5)  = Rs.147.5  Required percentage = (147.5/260 * 100) % =56.7%

In a certain office, the profit is 160% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what is the percentage profit?

Description : In a certain office, the profit is 160% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what is the percentage profit?

Last Answer : Let cost price = Rs.100 ; then profit = 160  Selling price = Rs.260 ; new cost price = 112% of Rs 100  New cost price = 122 ; new selling price = Rs 260  Profit = 260 – 112 = Rs.148  Required percentage = (148/112 *100)%  = 132.14%