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.
Advertisements
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.
RELATED QUESTIONS
Find the cost price, if :
S.P. = Rs. 1,680 and profit = 12%
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.
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 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.
A shirt was sold for Rs.1265 at a gain of 15%. Had the selling price been Rs.55 more, the gain would have been 20%. Find the cost price of the shirt.
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 stationer gains 20% by selling pens at 12 for Rs.72. How many pens should he sell for Rs.100. to gain 25%?
By selling 80 bananas for Rs. 240 a fruit seller loses 25%. How many bananas should he sell for Rs.100 to gain 25%.
Satish sells a washing machine for Rs. 8,900 and makes a profit of 20%. He sells another washing machine at a loss of 15%. If on the whole, he neither gains nor loses, find the cost price of the second washing machine.
