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Sangeeta and Hemlata invest in a business in the ratio 1 : 3. If total profit is Rs. 2568, then what is difference between the profit (in Rs.) of Sangeeta and Hemlata?
1384
1284
1184
1334
1284
Find the difference in ratio parts (3тИТ1=2) and divide by the total parts (1+3=4), then multiply directly by the total profit: 42тАЛ├Ч2568=21тАЛ├Ч2568=1284.
Investment ratio of Sangeeta and Hemlata = 1 : 3, Total profit = Rs. 2568
Difference=Total┬аProfit├Чa+bтИгaтИТbтИгтАЛ
Find the difference in ratio parts (3тИТ1=2) and divide by the total parts (1+3=4), then multiply directly by the total profit: 42тАЛ├Ч2568=21тАЛ├Ч2568=1284.
Students often calculate individual profits separately (Sangeeta = 1/4th and Hemlata = 3/4th) and then subtract them, which takes extra time and increases calculation errors.
Identify Ratio and Total Parts
The investment ratio of Sangeeta to Hemlata is 1:3. Therefore, the total number of ratio parts is 1+3=4.
1+3=4┬аparts
Calculate Value per Ratio Part
Since total profit is Rs. 2568 corresponding to 4 total parts, the value of 1 ratio part is calculated as 42568тАЛ.
1┬аpart=42568тАЛ=642
Find the Difference in Profit
The difference between their shares is given by the difference in their ratio parts (3тИТ1=2parts).Multiplyingbythevalueof1 part:2├Ч642=1284.
Difference=2├Ч642=1284
B is correct because the difference in profit between Hemlata and Sangeeta is Rs. 1284.
In partnership and business investment problems, profits are always distributed in the exact ratio of capital investments multiplied by time periods.