Profit And Loss - Study Mode

[#166] The sale price of an article including the sales tax is Rs. 1232. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is = ?
Correct Answer

(C) Rs. 1000

Explanation

Solution: Let the cost price of article be Rs. x Profit = 12% Rate of sales tax = 10% Sale price of an article including sales tax = Rs. 1232 According to the question, $$eqalign{
& Rightarrow frac{{112x}}{{100}} + frac{{112x imes 10}}{{10000}} = 1232 cr
& Rightarrow frac{{1120x + 112x}}{{1000}} = 1232 cr
& Rightarrow 1232x = 1232 imes 1000 cr
& Rightarrow x = { ext{Rs}}{ ext{. }}1000 cr} $$

[#167] Meena Kumari goes to a shop and buys a saree, costing Rs. 5225, including sales tax of 12%. The shopkeeper gives her a discount, so that the price is decreased by an amount equivalent to sales tax. The price is decreased by ( nearest value) ?
Correct Answer

(C) Rs. 560

Explanation

Solution: Price of the saree including sales tax = Rs. 5225 Cost price without sales tax $$eqalign{
& = frac{{5225}}{{112}} imes 100 cr
& = 4665 cr
& { ext{The price decreased}} cr
& = { ext{Rs}}{ ext{.}}left( {5225 - 4665}
ight) cr
& = { ext{Rs}}{ ext{. }}560 cr} $$

[#168] Ramesh sold a book at a loss of 30%. If he has sold it for Rs. 140 more, he would have made a profit of 40%. The cost price of the book is = ?
Correct Answer

(B) Rs. 200

Explanation

Solution: $$eqalign{
& { ext{Loss}} = 30\% cr
& { ext{Let}},{ ext{CP}} = x cr
& { ext{Loss}}\% = frac{{{ ext{CP}} - { ext{SP}}}}{{{ ext{CP}}}} imes 100 cr
& Rightarrow frac{{30}}{{100}} = frac{{x - { ext{SP}}}}{x} cr
& Rightarrow 3x = 10x - 10{ ext{SP}} cr
& Rightarrow 7x = 10{ ext{SP}} cr
& Rightarrow { ext{SP}} = frac{7}{{10}}x cr
& { ext{If}},{ ext{SP}} = 140,{ ext{more}}, = frac{7}{{10}}x + 140 cr
& { ext{the}},{ ext{profit}} = 40\% cr
& Rightarrow frac{{40}}{{100}} = frac{{frac{7}{{10}}x + 140 - x}}{x} cr
& Rightarrow frac{2}{5} = frac{{1400 - 3x}}{{10x}} cr
& Rightarrow 4x = 1400 - 3x cr
& Rightarrow 7x = 1400 cr
& Rightarrow x = 200 cr
& { ext{So,}},{ ext{CP}} = { ext{Rs}}{ ext{.}},200 cr} $$

[#169] A sells a watch to B and makes a loss of 12%. B makes a profit of $$12frac{1}{2}$$% by selling the watch to C. If A sells the watch to be at the cost of which C purchased it, then the percentage of loss or profit of A will be = ?
Correct Answer

(A) 1% loss

Explanation

Solution: Let the CP A of Watch = 100 ∴ SP A to B = 100 - 12% of 100 = 100 - 12 = 88 AND SP B to C = 88 + $$12frac{1}{2}$$% of 88 = 88 + 11 = 99 If A sold the direct to C at price of B sold to C. A got loss = 100 - 99 = 1 % loss $$= frac{1}{{100}} imes 100 = 1\% $$

[#170] Supriya sold a washing machine for Rs. 8500. She incurred a loss of 15% in this transaction. At what price had she bought the washing machine ?
Correct Answer

(A) Rs. 10000

Explanation

Solution: Selling price of washing machine = Rs. 8500 Loss % = 15% Cost price of washing machine $$eqalign{
& = { ext{Rs}}{ ext{.}}left( {frac{{100}}{{85}} imes 8500}
ight) cr
& = { ext{Rs}}{ ext{.10000}} cr} $$