Advertisements
Advertisements
Question
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.
Advertisements
Solution
Let the cost price of one of the cycles be Rs.x
∴ The cost price of the other cycle = Rs(8000 - x)
For the first cycle,
C.P. = Rs.x
Loss = 20%
Loss
= 20% of Rs. x
= Rs.0.20x
For the second cycle,
C.P. = Rs(8000 - x)
Profit = 30%
∴ Profit
= 30% of Rs.(8000 - x)
= Rs. 0.3(8000 - x)
= Rs. (2400 - 0.3x)
Given, overall profit = Rs.650
∴ (2400 - 0.3x) - 0.2x
= 650
⇒ 0.5x = 2400 - 650
= 1750
∴ x = `(1750)/(0.5)`
= 3500
C.P. of 1st cycle = Rs.3500
C.P. of 2nd cycle
= Rs.8000 - Rs.3500
= Rs.4500.
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:
- 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.900; a man gains 20%. Find his cost price and the gain.
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 shopkeeper sells three mobile phones at Rs. 15000, Rs. 9945 and Rs.5392 respectively. He makes a profit of 25% on the first mobile and `10(1)/(2)`% on the second, but incurs an overall loss `8(1)/(3)`% on the 3 whole transactions. Find the cost price of the third mobile.
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.
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.
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.
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.
