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A, B and C invest sum in the ratio 76 : 37 : 52 respectively. If they earned total profit of ₹3850 at the end of year, then what is the difference between share of B and C?
₹203
₹305
₹360
₹350
₹350
Calculate the total parts of the ratio first: 76+37+52=165. Then, find the difference in parts between B and C: 52−37=15. The difference in share is 16515×3850=111×3850=350.
Investment ratio of A, B, and C is 76 : 37 : 52. Total profit earned at the end of the year is ₹3850.
Share=Sum Of RatiosRatio Value×Total Profit
Calculate the total parts of the ratio first: 76+37+52=165. Then, find the difference in parts between B and C: 52−37=15. The difference in share is 16515×3850=111×3850=350.
Students often calculate the share of each individual (A, B, and C) separately before subtracting, which increases the chance of arithmetic errors compared to taking the ratio difference first.
Sum the ratio components
Total parts in the investment ratio are found by adding the individual parts of A, B, and C.
Total Parts=76+37+52=165
Calculate the value per ratio unit
Divide the total profit by the total number of parts to find the monetary value of one ratio unit.
1Unit=1653850
Find difference between B and C
The difference between B and C in terms of ratio units is 52−37=15. Multiply this by the value per unit.
Difference=15×1653850=16515×3850=111×3850=350
D is correct because the difference in ratio parts between B and C is 15, which corresponds to ₹350 when calculated against the total profit of ₹3850.
This concept is fundamental to all 'Partnership' and 'Mixture & Allegation' problems in competitive exams where profit or cost is distributed based on relative shares.
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