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21.The price of the jewel, passing through three hands,rises on the whole by 65%.If the first and the second sellers earned 20% and 25% profit respectively, find the percentage profit earned by the third seller.
Option: B
Consider the original price of the jewel be Rs.P
Consider the profit earned by the third seller be x%
then, (100 + x)% of 125% of 120% of P = 1165% of P
((100 + x)/100) * (125/100) * (120/100) * P = (165/100) * P
100 + x = (165 * 100 * 100)/(125 * 120)
x = 110 - 100 = 10%
22.A man bought a horse and a carriage for Rs.3000. He sold the horse at a gain of 20% and the carriage at a loss of 10%, thereby gaining 2% on the whole. Find the cost of the horse.
Option:C
Consider C.P. of the horse be Rs.x
C.P. of the carriage = Rs.(3000 - x)
20% of x - 10% of (3000 - x) = 2% of 3000
(x/5) - ((3000 - x)/10) = 60
taking LCM
2x - 3000 + x = 60 * 10
3x = 3600
x = 3600/3 = 1200
23.Find the single discount equivalent to a series discount of 20%, 10% and 5%.
Option: D
let the marked price be Rs.100
then, Net S.P. = 95% of 90% of 80% of Rs.100
net S.P. = Rs.(95/100) * (90/100) * (80/100) * 100
net S.P. = Rs.68.40
i.e) required discount = (100 - 68.40)% = 31.6%
24.An uneducated retailer marks all his goods at 50% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?
Option: B
Consider the C.P. = Rs.100
then, marked price will be = Rs.150
S.P. = 75% of Rs.150
S.P. = (75/100) * 150 = Rs.112.50
i.e) gain = 12.50%
25.A retailer buys 40 pents at the marked price of 36 pens from a wholesaler. If he sells these pens giving a discount of 1%, what is the profit percent?
Option: C
Let the marked price of each pen be Re.1
then, C.P. of 40 pens will be = Rs.36
S.P. of 40 pens = 99% of Rs.40
S.P. of 40 pens = (99/100) * 40 = Rs.39.60
profit% = ((39.60 - 36)/36) * 100% = 10%
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