Advertisements
Advertisements
Question
The difference between selling an article at 8% profit and at 12% profit is Rs.72. Find the cost price of the article and also the two selling prices.
Solution
Let C.P. of an article be Rs.100
Profit = 8%
∴ S.P.
= Rs.100 + 8% of Rs.100
= Rs.100 + Rs.8
= Rs.108
1 Again, Profit = 12%
∴ S.P.
= Rs.100 + 12% of Rs.100
= Rs.100 + Rs.12
= Rs.112
Difference between the two S.P.s
= Rs.112 - Rs.108
= Rs.4
when difference is Rs.4, then C.P.
= Rs.100
∴ when difference is Rs.72, then C.P.
= `(100 xx 72)/(4)`
= Rs.1800
∴ The cost price of the article is Rs.1800
First S.P.
= Rs.1800 + 8% of Rs.1800
= Rs.1800 + `(8)/(100) xx 1800`
= Rs.1800 + Rs.144
= Rs. 1944
Second S.P.
= Rs.1800 + 12% of Rs.1800
= Rs.1800 + `(12)/(100) xx 1800`
= Rs.1800 + Rs.216
= Rs.2016.
APPEARS IN
RELATED QUESTIONS
By selling a certain number of goods for Rs. 5,500; a shopkeeper loses equal to one-tenth of their selling price. Find :
(i) the loss incurred
(ii) the cost price of the goods
(iii) the loss as a percent.
A man sold a radio-set for Rs.250 and gained one-ninth of its cost price. Find ;
(i) its cost price;
(ii) the profit percent.
A tape-recorder is sold for Rs. 2,760 at a gain of 15% and a C.D. player is sold for Rs. 3,240 at a loss of 10% Find :
(i) the C.P. of the tape-recorder
(ii) the C.P. of the C.D. player.
(iii) the total C.P. of both.
(iv) the total S.P. of both
(v) the gain % or the loss % on the whole
A fruit-seller sells 4 oranges for Rs. 3, gaining 50%. Find :
(i) C.P. of 4 oranges,
(ii) C.P. of one orange.
(iii) S.P. of one orange.
(iv) profit made by selling one orange.
(v) a number of oranges brought and sold in order to gain Rs. 24.
On selling coffee at Rs.135 per kg a loss of 10% is incurred. Calculate the amount of coffee sold, if the total loss incurred is Rs.180.
On selling 10 watches at Rs. 1400 there is a loss equal to the cost price of 3 watches. Find the cost price of a watch.
A briefcase was sold at a profit of 10%. If its cost price was 5% less and it was sold for Rs.120 more, the gain would have been 20%. Find the cost price of the briefcase.
Two bicycles are sold for the same price, gaining 20% on one and losing 20% on the other. Find the cost price of each bicycle, if Rs.180 is lost in the whole transaction.
A bought a cycle and spent Rs.110 on its repair. He then sold it to B at 20% profit. B sold it to C at 10% loss. C sold it for Rs.1188 at 10% profit. How much did A pay for the article?
A briefcase was sold at a profit of 15%. If its cost price was 5% less and it was sold for Rs.35 less, the gain would have been 20%. Find the cost price of the briefcase.
