Advertisements
Advertisements
Question
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
Advertisements
Solution
S.P. of tape-recorder = Rs. 2,760
Gain = 15%
(i) C.P. =`(100xx"S.P.")/115` ......`["C.P."=(100xx "S.P.")/ ((100+"Gain"))]`
`=(100xx2760)/115=(20xx2760)/23=20xx120="Rs." 2400`
(ii) S.P. of C.D. Player = Rs. 3,240
`["C.P."=100/((100-"loss"))xx"S.P."]`
`=100/((100-10))xx3240`
`=100/90xx3240`
= 100 × 36
= Rs. 3600
(iii) Total C.P. of both = Rs. 2400 + Rs. 3600 = Rs. 6000
(iv) Total S.P. of both = Rs. 2760 + Rs. 3240 = Rs. 6000
(v) Since S.P. = C.P.
there is no gain and loss on the whole.
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 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. 1,128 and loss = 6%
By selling an article for Rs.900; a man gains 20%. Find his cost price and the gain.
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?
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.
A manufacturer sells an article to a dealer at a profit of 10%. the dealer sells to the retailer at a profit of 8% and the retailer sells to the customer at a profit of 5%. If the customer pays Rs.12474 for the article, calculate the cost of manufacturing the same.
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.
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.
