Profit And Loss - Study Mode
[#321] A fruit seller buys some oranges and by selling 40% of them he realizes the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit. The rest of the oranges being rotten are thrown away. The overall percentage of profit is:
Correct Answer
(B) 84
Explanation
Solution: Let fruit seller buys 100 oranges for Rs. 100 On selling of 40% of the oranges he realizes his cost price i.e.
He sells 40 oranges for Rs. 100 Profit on 40 Oranges = 100 - 40 = Rs. 60 % profit on 40 oranges = $$frac{{60 imes 100}}{{40}}$$ xa0 = 150% Now, he sells 80% of 60 oranges on half of the previous profit i.e. 48 oranges, he sells at 75% of profit So, SP of 48 oranges = 48 + 75% of 48 = 84 12 was rotten so he threw away. Total SP = 100 + 84 = Rs. 184 Profit = 184 - 100 = 84 %Profit = 84%
[#322] The marked price of an item is twice the cost price, discount 20% of market price and profit is 10% of selling price. Find profit percentage to cost
Correct Answer
(A) $$frac{{100}}{9}$$%
Explanation
Solution: Given, MP = Rs. 200 Discount = 20% Profit = Rs. 16 SP = 200 - 20% of 200 = 200 - 40 = Rs. 160 CP = SP - profit = 160 - 16 = Rs.144 % profit = $$frac{{16 imes 100}}{{144}} = 11.11\% = frac{{100}}{9}\% $$
[#323] The marked price of an item is twice the cost price. For a gain of 15%, the discount should be:
Correct Answer
(D) 42.5%
Explanation
Solution: Let CP = Rs. 100 MP = Rs. 200 Gain = 15% SP = 100 + 15% of 100 = Rs. 115 Discount = 200 - 115 = 85 % Discount = $$frac{{85 imes 100}}{{200}}$$xa0 = 42.5%
[#324] A man sold his watch at a loss of 5%. Had he sold it for Rs. 56.25 more, he would have gained 10%. What is the cost price of the watch (in Rs.)?
Correct Answer
(C) 375
Explanation
Solution: He sold his watch at loss of 5%. If he sells his watch for Rs. 56.25 more, he would gain 10%. It means that
15% = Rs. 56.25.
So,
1% = $$frac{{56.25}}{{15}}$$
100% = $$frac{{56.25 imes 100}}{{15}}$$ xa0 = Rs. 375
Therefore, the cost price of the watch is Rs. 375
[#325] A total profit of Rs. 3,600 is to be distributed amongst A, B and C such that A : B = 5 : 4 and B : C = 8 : 9. The share of C in the profit is:
Correct Answer
(A) Rs. 1,200
Explanation
Solution: A Total Profit = Rs. 3600 Profit ratio, A : B = 5 : 4 B : C = 8 : 9 As B is common in both ratio, we make B equal in both ratio by multiplying One B in another. A : B = 5 : 4 × 8 B : C = 8 × 4 : 9 So, ratio of A : B : C = 40 : 32 : 36 = 10 : 8 : 9 Now, C shares in profit = $$frac{{3600 imes 9}}{{27}}$$ xa0 = Rs. 1200