Question

142. The rate of interest for the first 2 years is
3% per annum, for the next 3 years is 8% per
annum and for the period beyond 5 years is 10%
per annum. If a man gets Rs. 1520 as a simple
interest for 6 years, how much money did he
deposit?​

Answer 1

Answer:

Let's principle amount be p

I1 = p*3*2/100 ( for first two years)

I1= 6p/100

Similarly, I2 = 24p/100 ( for next 3 years)

I3 = 10p/100 ( for sixth year)

Given total interest is 1520

(6 p + 24p + 10 p)/100 = 1520

40 p = 1520*100

P = 15200/4 = 3800

Andrey: 3800

Answer 2

Given :-

• for first 2 years he gets 3% per annum interest .
• for next 3 years he gets 8% per annum interest .
• for next years he gets 10% per annum interest .
• Total simple interest = Rs.1520 .
• Total time = 6 years.

To Find :-

• How much money did he deposit in the bank ?

Solution :-

Let us assume that, he deposit Rs. P in the bank .

we know that,

• SI = (P * R * T)/100

A/q,

→ P at 3% for 2 years + P at 8% for 3 years + P at 10% for 1 years = 1520

→ {(P * 3 * 2)/100} + {(P * 8 * 3)/100} + {(P * 10 * 1)/100} = 1520

→ 6P + 24P + 10P = 1520 * 100

→ 40P = 1520 * 100

→ P = (1520 * 100) / 40

→ P = Rs.38,00 (Ans.)

Hence, He deposit Rs.3800 in the bank.

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