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A sum of Rs.400 becomes Rs. 448 at simple interest in 2 years. In how many years will the sum of Rs. 550 amounts to Rs. 682 at the same rate?
- A2
- B3
- C3.5
- D4
Answer not set
Discussion 1
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CCommunity
Initial Principal = Rs.400, Initial Amount = Rs. 448
Time period = 2 years
⇒ Amount = P + (P × R × T)/100
⇒ 448 = 400 + (400 × R × 2)/100
⇒ 448 – 400 = 8R
⇒ 48 = 8R
⇒ R = 48/8 = 6%
New Principal = Rs. 550, New Amount = Rs. 682
⇒ Amount = P + (P × R × T)/100
⇒ 682 = 550 + (550 × 6 × T)/100
⇒ 132 = 33 T
⇒ T = 4
∴ the correct option is 4)
Time period = 2 years
⇒ Amount = P + (P × R × T)/100
⇒ 448 = 400 + (400 × R × 2)/100
⇒ 448 – 400 = 8R
⇒ 48 = 8R
⇒ R = 48/8 = 6%
New Principal = Rs. 550, New Amount = Rs. 682
⇒ Amount = P + (P × R × T)/100
⇒ 682 = 550 + (550 × 6 × T)/100
⇒ 132 = 33 T
⇒ T = 4
∴ the correct option is 4)