Prakash lends a part of Rs.20,000 at 8% simple interest and remaining at $4/3$%

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Question

Prakash lends a part of Rs.20,000 at 8% simple interest and remaining at $4/3$% simple interest. His total income after a year was Rs.800. Find the sum lent at 8%.

Options:

A . Rs.12,000

B . Rs.8,000

C . Rs.10,000

D . Rs.6,000

Answer: Option B
Answer: (b)Using Rule 1,Amount lent at 8% rate of interest = Rs.xAmount lent at $4/3$% rate of interest = Rs.(20,000 - x)S.I. = ${\text"Principal × Rate × Time"/100$${x × 8 × 1}/100 + {(20,000 - x) × 4/3 × 1}/100$ = 800${2x}/25 + {20,000 - x}/75 = 800$${6x + 20,000 - x}/75 = 800$5x + 20,000 = 75 × 800 = 60,0005x = 60,000-20,000 = 40,000$x = {40,000}/5$ = Rs.8000

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