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.
APPEARS IN
RELATED QUESTIONS
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.
Find the cost price, if :
S.P. = Rs. 1,680 and profit = 12%
Find the cost price, if :
S.P. = Rs. 1,128 and loss = 6%
By selling an article for Rs.704; a person loses 12%. Find his cost price and the loss.
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 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.
A man bought two transistor radios which cost him Rs.7200. He sold one of them at a loss of 15% and the other at a gain of 19%. If the selling price of both the transactors is same, find the cost price of each.
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.
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.
