Question

A certain sum amounts to
9,440 in 3 years and to
10,400 in 3 years and to
10,400 in 5 years. Find the sum
and the rate percent.
​

Answer 1

Answer:

5%, rs.8208.69

Step-by-step explanation:

in last two years interest=10400-9440

=960

p=9440

s.i=prt/100

960=9440r×2/100

r=5%

9440-p=p×5×3/100

9440=115p/100

p=8208.69

Answer 2

❐

Amount in 3 years = ₹9440 =>

P + Interest of 3 years = 9440₹

Amount in 5 years = ₹10400 =>

P + Interest of 5 ‎ ‎ ‎years = ₹10400

❐

• Eq. II - Eq. I => interest of 2 yrs = ₹10400 - ₹9440 ‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎= ₹960

=> Interest in 1 year = ₹960/2 = ₹480

Interest of 3 years = ₹480×3 = ₹1440

And,

❐

From eq I, we get

P + 1440₹ = 9440₹ => P = ₹8000

Taking P = ₹8000, I = 480₹ n T = 1 year

❐

We get,

$\huge \mid \colorbox{aqua}{R=I×100/P×T} \mid$ %

= 480 × 100/8000×1 %

‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ = 6%

THE SUM = ₹8000 and RATE PERCENT = 6%

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