Profit And Loss - Study Mode
[#151] Kamal bought a house, whose sale price was Rs. 8 lakh. He availed 20% discount as an early bird offer and then 10% discount due to cash payment. After that he spent 10% of the cost price in interior decoration and lawn of the house. At what price should he sell the house to earn a profit of 25%?
Correct Answer
(C) Rs. 7.92 lakh
Explanation
Solution: Let the marked price be 100 100 == 20% ↓(discount) ⇒ 80 == 10%↓ (discount) ⇒ 72(CP) == 10%↑ (interior) ⇒ 79.2(Total CP) Now, selling price would be 25% above the Total cost price. SP = 79.2 + 25% of 79.2 SP = 99 Now, On comparing, 100 ⇒ 800000 99 ⇒ $$frac{{800000}}{{100}} imes 99$$ xa0xa0 ⇒ 7,92,000 So, SP = Rs. 7,92,000
[#152] A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was -
Correct Answer
(A) 5%
Explanation
Solution: Let Cost price be Rs. 100 Then, Marked price = Rs. 125 Selling price = 84% of Rs. 125 $$eqalign{
& { ext{ = Rs}}{ ext{.}}left( {frac{{84}}{{100}} imes 125}
ight) cr
& = { ext{Rs}}{ ext{.105}}{ ext{}} cr} $$ ∴ Profit % = (105 - 100)% = 5%
[#153] The cost price of a radio is Rs. 600. The 5% of the cost price is charged towards transportation. After adding that, if the net profit to be made is 15%, then the selling price of the radio must be = ?
Correct Answer
(B) Rs. 724.50
Explanation
Solution: According to the question, Cost price of the radio = Rs. 600 5% of cost price is charged $$eqalign{
& = frac{5}{{100}} imes 600 cr
& = { ext{Rs}}{ ext{. 30}} cr} $$ ∴ Total cost price = 600 + 30 = Rs. 630 To gain 15% then selling price $$eqalign{
& = 630 + frac{{15}}{{100}} imes 630 cr
& = { ext{Rs}}{ ext{. 724}}{ ext{.50}} cr} $$
[#154] A shopkeeper purchased a TV for Rs. 2000 and a radio for Rs. 750. He sells the TV at a profit of 20% and the radio at a loss of 5%. The total loss or profit is = ?
Correct Answer
(B) Gain Rs. 362.50
Explanation
Solution: $$eqalign{
& { ext{Cost}},{ ext{price}},{ ext{of}},{ ext{TV}} = { ext{Rs}}{ ext{.}},2000 cr
& { ext{Profit}}\% = 20\% cr
& { ext{Selling}},{ ext{price}},{ ext{of}},{ ext{TV}} cr
& = 2000 + left( {frac{{20}}{{100}} imes 2000}
ight) cr
& = 2000 + 400 cr
& = { ext{Rs}}{ ext{.}},2400 cr
& { ext{Similarly,}} cr
& { ext{Selling}},{ ext{price}},{ ext{of}},{ ext{radio}} cr
& = 750 - left( {frac{5}{{100}} imes 750}
ight) cr
& = 750 - 37.5 cr
& = { ext{Rs}}{ ext{.}},712.5 cr
& { ext{Thus,}},{ ext{total}},{ ext{cost}},{ ext{price}} cr
& = 2000 + 750 cr
& = ext{Rs.},2750 cr
& { ext{and}},{ ext{total}},{ ext{Selling}},{ ext{price}} cr
& = 2400 + 712.5 cr
& = { ext{Rs}}{ ext{.}},3112.5 cr
& herefore { ext{Gain}} = 3112.5 - 2750 cr
& ,,,,,,,,,,,,,,,,,,,, = { ext{Rs}}{ ext{.}},362.50 cr} $$
[#155] A fruit seller buys 240 apples for Rs. 600. Some of these apples are rotten and are thrown away. He sells the remaining apples at Rs. 3.50 each and makes a profit of Rs. 198. The % of apples thrown away are ?
Correct Answer
(B) 5%
Explanation
Solution: Let the number of bad apples = x Cost price of (240 - x) apples = Rs. 600 Selling Price of (240 - x) apples = Rs. 3.50 × (240 - x) According to the question, ⇒ 3.50 × (240 - x) - 600 = 198 ⇒ x = 12 So, % of apples thrown away are $$eqalign{
& x\% = frac{{12}}{{240}} imes 100\% cr
& ,,,,,,,,,, = 5\% cr} $$ Alternate : Selling price of apples = 600 + 198 = 798 Number of apples sold $$eqalign{
& = frac{{798}}{{3.50}} = 228 cr
& \% { ext{ of apples thrown}} cr
& { ext{ = }}frac{{240 - 228}}{{240}} imes 100 cr
& = frac{{12}}{{240}} imes 100 cr
& = 5\% cr} $$