Question

Tanya invested rs 4800 at the rate of X%p.a.and rs 2400 at the rate of 2X p.a.each on compound interest. If she gets Rs. 48 more interest on the amount invested at 2X% than amount invested at X% after two years, then find the value of (x/2)%?​

Answer 1

(x/2)% = 5 %

Step-by-step explanation:

Tanya invested rs 4800 at the rate of X%p.a

Interest in 2 Years  = 4800 ( 1 + X/100)² - 4800

= 4800 ( X²/10000  + 2X/100)

= 48(X²/100  + 2X)

rs 2400 at the rate of 2X p.a

Interest in 2 Years  = 2400 ( 1 + 2X/100)² - 2400

= 2400 ( 4X²/10000 + 4X/100)

= 96(X²/100  + X)

96(X²/100  + X) = 48(X²/100  + 2X)   + 48

=> 2(X²/100  + X) = (X²/100  + 2X)   + 1

=> 2X²/100 + 2X = X²/100  + 2X + 1

=> X²/100 = 1

=> X² = 100

=> X = 10

X/2 = 5

(x/2)% = 5 %

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