Ques 1.
By selling an article for Rs. 810, a man loses 10%. At what price should he sell it to gain 5%?
Solution :
810 ---- 90%
? ---- 105%
==> Selling with 5% gain = (810*105)/90 = 945
Ques 2.
Ravi buys some goods for Rs. 300. If the overhead expenses are 12% of the cost price, at what price should it be sold to earn 10%?
Solution :
Total Cost = 300+ 12% of 300 = 300 + 36 = 336
336 ----- 100%
? ----- 110%
Selling price with 10% gain = 369.6
Ques 3.
Gopi purchases two fans each at Rs. 2400. She sold one fan at the loss of 5% and other at the gain of 10%. Find total gain or loss per cent.
Solution :
Total cost = 2400*2 = 4800
one fan sold at 5% loss = 2400*95/100 = 2280
one fan sold at 10% gain = 2400*110/100 = 2640
Total selling = 4920
Total gain = 4920-4800 = 120
% of gain = 120*100/4800 = 2.5%
Ques 4.
Praveen purchased an item for Rs. 3000 and sold it at the gain of 35%. From that amount, he purchased another item and sold it at his loss of 20%. What is his overall gain/loss?
Solution :
Total gain = 35-20-(20*35/100) = 8%
3000 ----- 100%
? ----- 8%
Overall gain = 240
Ques 5.
Vani sold an item for Rs. 3192 and incurred a loss of 30%. At what price should he have sold the item to have gained a profit of 30%.
Solution :
3192 ----- 70%
? ----- 130%
Selling price with 130% gain = 5928
Ques 6.
A dealer sold three-fourth of his articles at a gain of 24% and the remaining at the cost price. Percentage of gain in the whole transaction is
Solution :
Assume total articles = 100
==> (75 *124/100 )+ 25
==> 93+25 = 118
Overall gain = 118-100 = 18%
Ques 7.
The cost price of 24 apples is same as the selling price of 18 apples. The percentage of gain is
Solution :
==> Gain = (SP - CP)*100 / SP
==> Gain = (24 - 18) *100 / 18
==> Gain = 600/18 = 33 1/3
Ques 8.
Some Apples bought at 5 for Rs. 10 and sold at 6 for Rs. 15. What is the gain per cent?
Solution :
10/5 ----- 100%
15/6 ----- ?
==> X = 125%
gain = 125-100= 25%
Ques 9.
A shopkeeper purchased some books from a publication worth Rs.1500. Because of some reasons, he had to sell two-fifth part of the book at a loss of 15%. On which gain he should sell his rest of the books so that he gets neither gain nor loss?
Solution :
==>2/5(85) + 3/5(x) = 100
==> 170+3x = 500
==> 3x = 330
==> x = 110
Remaining he should sell at = 110 - 100 = 10%
Ques 10.
Siva sold a watch at a profit of 10%. If he had sold it for Rs. 200 more, he would have gained 20%. Find the CP of the watch.
Solution :
Difference = 20-10 = 10%
10% ---- 200
100% ----- ?
Cost Price = 2000
