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What sum of money at compound interest will amount to Rs. 6930 in 3 years, if the rate of interest is 9% fax
the first year, 10% for the second year and 20% for the third year?
O Rs. 4000
907831162 25
907831162 25
907831102 25
O Rs. 5000
897832
Rs. 5500
O Rs. 4500
7831162 23
907831162 25
62 0918820
SC 791/EBLO​

Answer 1

Given :- What sum of money at compound interest will amount to Rs. 6930 in 3 years, if the rate of interest is 5% in the first year, 10% for the second year and 20% for the third year ?

Solution :-

we know that,

• when is R1 in first year, R2 in second year and R3 in third year than Amount will be = Principal * {1 + (R1/100)} * {1 + (R2/100)} * {1 + (R3/100)}

Let us assume that, Principal was Rs.x .

Than we have ,

• Principal = Rs.x
• R1 = 5% .
• R2 = 10% .
• R3 = 20%.
• Amount after 3 years = Rs.6930 .

Putting all values in above told formula we get :-

→ Amount = Principal * {1 + (R1/100)} * {1 + (R2/100)} * {1 + (R3/100)}

→ 6930 = x * {1 + (5/100)} * {1 + (10/100)} * {1 + (20/100)}

→ 6930 = x * {1 + (5/100)} * {1 + (1/10)} * {1 + (1/5)}

→ 6930 = x * (105/100) * (11/10) * (6/5)

→ 6930 * 100 * 10 * 5 = x * 105 * 11 * 6

dividing both sides by 6,

→ x * 105 * 11 = 1155 * 5000

dividing both sides by 11,

→ x * 105 = 105 * 5000

dividing both sides by 105 now,

→ x = Rs.5000 (Ans.)

Hence, The sum of Money is Rs.5000 .

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