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Pooja and Ritu invest in a business in the ratio 4 : 1. If total profit is Rs. 1480, then what is difference between the profit (in Rs.) of Pooja and Ritu?
788
988
888
938
888
Calculate the difference in ratio units (4тИТ1=3) and divide by the sum of ratio units (4+1=5) then multiply by total profit: 53тАЛ├Ч1480=3├Ч296=888.
Ratio of investment (Pooja : Ritu) = 4 : 1, Total Profit = Rs. 1480.
P=R1тАЛ+R2тАЛR1тАЛтИТR2тАЛтАЛ├ЧTotal┬аProfit
Calculate the difference in ratio units (4тИТ1=3) and divide by the sum of ratio units (4+1=5) then multiply by total profit: 53тАЛ├Ч1480=3├Ч296=888.
Many students calculate the individual shares first (4/5 and 1/5 of 1480) and then subtract them, which is time-consuming and prone to calculation errors.
Define Ratio Parts
The profit is divided in the ratio 4:1. Let the shares be 4x and 1x. The total profit is 4x+1x=5x.
5x=1480
Calculate Value of one part
Divide the total profit by the sum of the ratio parts to find x.
x=51480тАЛ=296
Calculate Difference
The difference between Pooja's share (4x) and Ritu's share (1x) is 3x.
Difference=3├Ч296=888
C is correct because the difference between the shares of Pooja (4x) and Ritu (1x) is 3x, where x=296, resulting in 888.
This ratio-based distribution logic is identical to splitting a total amount in Mixtures and Allegations or calculating percentage deviations in Data Interpretation.
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