If 900 Rs. amounts to 1044 Rs. in 4 years, what sum will amount to Rs. 1368 in 3 and a half years at the same rate?
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If 900 Rs. amounts to 1044 Rs. in 4 years, what sum will amount to Rs. 1368 in 3 and a half years at the same rate?
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Answer:
Let, the sum of money be 'x'
∴S.I.= (P×R×T)/100
=(X×4×4)/100
=16 X/100
=4 X/25
∴ Amount =(X + 4 X /25)
=(25 X+4 X)÷25
=29 X/25
By condition,
29 / 25 =1044
⇒29 X =1044×25
⇒X =(1044×25)÷29
⇒X= 36×25
⇒X=900
∴The sum of money is Rs.900.
here your answer goes like this
Principal = Rs 900 Amount
= Rs 1044 Time
= 4 years Let the rate of interest
= R% Simple interest
= A - P = 1044 - 900
= Rs 144 Simple interest
= (P × T × R) / 100 144 = (900 × 4 × R) / 100
⇒ R = (144 × 100) / (900 × 4)
⇒ R = 4 Therefore, rate of interest is 4% Case (ii) Let the Principal = P Rate of interest
= 4% Time
= 3 1/2 years
= 7/2 years Amount
= Rs 1368 Simple interest
= A - P = (1368 - P) Simple interest
= (P × T × R) / 100 (1368 - P)
= (P × 7/2 × 4) / 100 ⇒ (1368 - P) = 0.14 P ⇒ 1.14 P = 1368
⇒ P = 1200 Therefore, sum of money is Rs 1200.
i hope it helped uh !!!
thanks