Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
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.
संबंधित प्रश्न
By selling a certain number of goods for Rs. 5,500; a shopkeeper loses equal to one-tenth of their selling price. Find:
- the loss incurred
- the cost price of the goods
- the loss as a percent.
A man sold his bicycle for Rs.405 losing one-tenth of its cost price, find :
(i) its cost price;
(ii) the loss percent.
By selling an article for Rs.704; a person loses 12%. Find his cost price and the loss.
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
Raju sells a watch at a 5% profit. Had he sold it for Rs.24 more; he would have gained 11%. Find the cost price of the watch.
A man sold a bicycle at 5% profit. If the cost had been 30% less and the selling price Rs.63 less, he would have made a profit of 30%. What is the cost price of the bicycle?
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.
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.
A man buys two cycles for a total cost of Rs.8000. By selling one cycle at a loss of 20% and the other at a profit of 30%, he makes a profit of Rs.650 on the whole transaction. Find the cost price of each cycle.
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.
