Asim purchased rice of Rs 800. He sold 3/4th out of purchased rice at a profit of 10% and rest part at a loss of 10% then find out tha percentage of profit and loss in selling of total rice
Answers
Answer:
Step-by-step explanation:
First of all Find two proportions of 800
800 X 3/4 = 600 and remains 200
Rice of Rs 600 sold at 10% Profit
so
600X10/100
Rs 60 is Profit
Remaining Rice of Rs 200 sold at 10% loss
so
200X 10/100
Rs 20 is loss
Gain and Loss on whole transaction is
600+60=660 with gain
200-20=180 with loss
Total amount received is 660+180 is 840
so Seema has Loss because She brought Rice at Rs 800 and Sold at Rs 840
so
840-800 = 40
gain of Rs 40 from whole transaction
percentage of profit is 5%
Solution :-
→ Total CP of rice = Rs. 800
Case 1) :-
→ 3/4th out of purchased = 800 * (3/4) = Rs. 600
→ Profit = 10%
→ SP = (600 * 110)/100 = Rs. 660
Case 2) :-
→ 1/4th out of purchased = 800 * (1/4) = Rs. 200
→ Loss = 10%
→ SP = (200 * 90)/100 = Rs. 180
So,
→ Total SP = 660 + 180 = Rs. 840
then,
→ Total Profit = Total SP - Total CP
→ Total Profit = 840 - 800 = Rs. 40
therefore,
→ Total profit % = (40 * 100)/800
→ Total profit % = 5% (Ans.)
Hence, tha percentage of profit selling of total rice is 5 .
Shortcut :-
Let overall profit or loss is x % .
So,
→ (3/4) * 10 - (1/4) * 10 = 1 * x
→ (15/2) - (5/2) = x
→ x = (10/2)
→ x = 5% .
since value of x is in positive , we have a total profit of 5% .
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