Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
C.P. of both the transistors = Rs.7200
Let C.P. of the 1st transistor be Rs. x
∴ C.P. of the 2nd transistor is Rs. (7200 - x)
For the 1st transistor,
Loss = 15%
∴ S.P.
= C.P. - Loss
= Rs. x - 15% of Rs. x
= Rs. 0.85x
For the 2nd transistor,
Profit = 19%
S.P.
= C.P. + profit
= Rs. (7200 - x) + 19% of Rs. (7200 - x)
= Rs. (8568 - 1.19x)
Given, both the S.P.'s are equal
∴ 0.85x = 8568 - 1.19x
⇒ 1.19x + 0.85x
= 8568
⇒ 2.04x = 8568
⇒ x = `(8568)/(2.04)`
= 4200
∴ C.P. of 1st transistor = Rs. 4200
C.P. of 2nd transistor
= Rs.7200 - Rs4200
= Rs.3000.
APPEARS IN
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 a radio-set for Rs.250 and gained one-ninth of its cost price. Find ;
(i) its cost price;
(ii) the profit percent.
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.
Renu sold an article at a loss of 8 percent. Had she bought it at 10% less and sold for Rs.36 more; she would have gained 20%. Find the cost price of the article.
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.
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.
A stationer gains 20% by selling pens at 12 for Rs.72. How many pens 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.
