Question

. A certain sum of money amounts to ₹ 756 in 2 years and to 873 in 3.5 years. Find the sum and the rate of interest.
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Answer 1

Answer:

Amount in 2 years = Rs. 756

Amount is 3

2

1

years = Rs. 873

∴ Interest for 1

2

1

years = Rs. 873− Rs. 756= Rs. 117

Interest for 2 years =

2

3

117

×2=

3

117×2×2

= Rs. 156

Interest for 1 year =

3

117×2

= Rs. 78

∴ Principal =Amount−Interest ....(for 2 years) = Rs. 756− Rs. 156= Rs. 600

∴ Rate of interest =

600×1

78×100

=13% p.a.

Answer 2

Step-by-step explanation:

Amount in 2 years = Rs. 756

Amount is 321 years = Rs. 873

∴ Interest for 121 years = Rs. 873− Rs. 756= Rs. 117

Interest for 2 years =23117×2=3117×2×2= Rs. 156

Interest for 1 year =3117×2= Rs. 78

∴ Principal =Amount−Interest ....(for 2 years) = Rs. 756− Rs. 156= Rs. 600

∴ Rate of interest =600×178×100=13% p.a.

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