Profit And Loss - Study Mode

[#291] A manufacturer sells an article to a wholesale dealer at a profit of 10% . The wholesale dealer sells it to a shopkeeper at 20% profit. The shop - keeper sells it to a customer for Rs. 56100 at a loss of 15% . Then the cost price of the article to the manufacturer is = ?
Correct Answer

(C) Rs. 50000

Explanation

Solution: $$eqalign{
& = left( {frac{{56100 imes 100 imes 100 imes 100}}{{left( {100 - 15}
ight) imes left( {100 + 10}
ight) imes left( {100 + 20}
ight)}}}
ight) cr
& = left( {frac{{56100 imes 100 imes 100 imes 100}}{{85 imes 110 imes 120}}}
ight) cr
& = { ext{Rs}}{ ext{.}},50000 cr} $$

[#292] An increase of Rs. 3 in the selling price of an article turns a loss of $$7frac{1}{2}$$% into a gain of $$7frac{1}{2}$$%. The cost price in (Rs.) of the article is -
Correct Answer

(C) 20

Explanation

Solution: $$eqalign{
& { ext{Let C}}{ ext{.P}}{ ext{. be Rs}}{ ext{. }}x cr
& { ext{Then,}} cr
& 107frac{1}{2}\% { ext{ of }}x - 92frac{1}{2}\% { ext{ of }}x = 3 cr
& Rightarrow frac{{215}}{{200}}x - frac{{185}}{{200}}x = 3 cr
& Rightarrow frac{{30x}}{{200}} = 3 cr
& Rightarrow x = 20 cr} $$

[#293] A shopkeeper sells an article at $$12frac{1}{2}$$% loss. If he sells it for Rs. 92.50 more than he gains 6% . What is the cost price of the article ?
Correct Answer

(A) Rs. 500

Explanation

Solution: $$eqalign{
& { ext{Let C}}{ ext{.P}}{ ext{. be Rs}}{ ext{. }}x cr
& { ext{Then,}} cr
& { ext{ = }}left( {106\% { ext{ of }}x}
ight) - left( {87frac{1}{2}\% { ext{ of }}x}
ight) = 92.50 cr
& Rightarrow 18frac{1}{2}\% { ext{ of }}x = 92.50 cr
& Rightarrow x = left( {frac{{92.50 imes 100 imes 2}}{{37}}}
ight) = 500 cr
& { ext{CP}} = { ext{Rs}}{ ext{. }}500 cr} $$

[#294] A sells a cycle to B at a profit of 10% , B sells to C at a profit of 20% . If C pays Rs. 264 for it, how much did A pay for it ?
Correct Answer

(A) Rs. 200

Explanation

Solution: Let cost price for A = Rs. 100 SP for A = CP for B = 100 + 10% of 100 = 110 SP for B = CP for C = 110 + 20% of 110 = 132 Given, CP for C = 264 So, 132 = 264 $$eqalign{
& 1 = frac{{264}}{{132}} cr
& 100 = frac{{264 imes 100}}{{132}} = { ext{Rs}}{ ext{.}},200 cr} $$ CP for A = Rs. 200

[#295] A sold a tape - recorder to B for Rs. 4860 at a loss of 19% . Again B sold it to C at price that would give A a profit of 17% . The gain of B is = ?
Correct Answer

(C) $$44frac{4}{9}\% $$

Explanation

Solution: CP of the Product = $$frac{{4860 imes 100}}{{81}} = 6000$$ Loss of A = 6000 - 4860 = 1140 Now B sold the product to C with 17% profit of A i.e. 6000 + 17% of 6000 = 6000 + 1020 = 7020 ∴ Total Profit of B = 7020 - 4860 = 2160 % Gain of B xa0 $$ = frac{{2160}}{{4860}} imes 100 = 44frac{4}{9}\% $$