Solved UPSC CDS/OTA Question
A solved UPSC CDS/OTA PYQ — decoded step-by-step.
Solve it the standard way once — then learn the shortcut.
A, B and C enter into partnership. And their investments are in the ratio 1:3:5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. If at the end of the year the difference between the profits of the sum of B and C to that of A is rupees. 1210, find the profit of C?
Step-by-Step Solution
The complete worked solution.
Every step explained — no skipped algebra.
By the data provided in the question,
The ratio of profit = { ( 1 x 4 ) + ( 2 x 8 ) } : { (3 x 4 ) + ( 1.5 x 8 ) } : { ( 5 x 4 ) + ( 2.5 x 8 ) }
= 20 : 24 : 40 = 5 : 6 : 10
By the condition ( 10 + 6 ) – 5 = 11 = 1210
1 = 110 rupees
10 = 1100 rupees.