Advertisements
Advertisements
Question
A man sold his bicycle for Rs.405 losing one-tenth of its cost price, find :
(i) its cost price;
(ii) the loss percent.
Solution
(i) Let C.P. of the bicycle = Rs. x
∴ Loss = Rs.`"x"/10`
S.P. = C.P. − Loss
`="x"-"x"/10`
But, we are given S.P. = Rs.405
`∴ "x"-"x"/10=405`
`⇒(10"x"-"x")/10=405`
`⇒(9"x")/10=405`
`⇒"x"=405xx10/9`
`⇒"x"=4050/9`
⇒ x = 450
∴ C.P. = Rs.450
(ii) Loss =`"x"/10`
`=450/10` ....(substituting the value of x)
= Rs.45
Loss% =`"Loss"/"C.P."xx100`
`=45/450xx100=4500/450=10%`
APPEARS IN
RELATED QUESTIONS
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
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.
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 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.
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.
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 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 bought a cycle and spent Rs.110 on its repair. He then sold it to B at 20% profit. B sold it to C at 10% loss. C sold it for Rs.1188 at 10% profit. How much did A pay for the article?
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.
