Question

simple interest!!!!!!​

Answer 1

Answer ::

• a) 1.5%
• b) 0.5%
• c) 6.001≈%
• d) 5.03%
• e) 4%

Step-by-step explanation ::

• Time = 2 years, S.I. = Rs. 75, P = Rs. 2500

$\bf{Rate = \dfrac{Simple \: Interest \times 100}{Principal \times Time}} \\ \\ \\ \sf{= \dfrac{75 \times 100}{2500 \times 2}} \\ \\ \\ \sf{= \dfrac{7500}{5000}} \\ \\ \\ \sf{= \cancel{\dfrac{7500}{5000}}} \\ \\ \\ \bf{= 1.5\%}$

• Time = 3 years, Simple Interest = Rs. 150, Principal = Rs. 10000

$\bf{Rate = \dfrac{Simple \: Interest \times 100}{Principal \times Time}} \\ \\ \\ \sf{= \dfrac{150 \times 100}{10000 \times 3}} \\ \\ \\ \sf{= \dfrac{15000}{30000}} \\ \\ \\ \sf{= \cancel{\dfrac{15000}{30000}}} \\ \\ \\ \bf{= 0.5\%}$

• Time = 2 years, Simple Interest = Rs. 1481.4, Principal = Rs. 12342

$\bf{Rate = \dfrac{Simple \: Interest \times 100}{Principal \times Time}} \\ \\ \\ \sf{= \dfrac{1481.4 \times 100}{12342 \times 2}} \\ \\ \\ \sf{= \dfrac{148140}{24684}} \\ \\ \\ \sf{= \cancel{\dfrac{148140}{24584}}} \\ \\ \\ \bf{= 6\dfrac{2}{2057}\% \: \: or \: \: 6.001\% \approx}$

• Time = 5 years, Simple Interest = Rs. 23900, Principal = Rs. 95000

$\bf{Rate = \dfrac{Simple \: Interest \times 100}{Principal \times Time}} \\ \\ \\ \sf{= \dfrac{23900 \times 100}{95000 \times 5}} \\ \\ \\ \sf{= \dfrac{2390000}{475000}} \\ \\ \\ \sf{= \cancel{\dfrac{2390000}{475000}}} \\ \\ \\ \bf{= 5.03\% \approx}$

• Time = 1 year, Simple Interest = Rs. 120, Principal = Rs. 3000

$\bf{Rate = \dfrac{Simple \: Interest \times 100}{Principal \times Time}} \\ \\ \\ \sf{= \dfrac{120 \times 100}{3000 \times 1}} \\ \\ \\ \sf{= \dfrac{12000}{3000}} \\ \\ \\ \sf{= \cancel{\dfrac{12000}{3000}}} \\ \\ \\ \bf{= 4\%}$

Answer 2

$\sf{1) T=2 \: years , SI=₹75,P=₹2500}$

$\sf\red{Rate =\frac{Simple\: Interest×100}{Time × Principal}}$

$\implies$$\sf{R=\frac{75×100}{2×2500}}$

$\implies$$\sf{R=\frac{7500}{5000}}$

$\implies$$\sf{R=1.5\%}$

$\sf{2) T=3 \: years , SI=₹150,P=₹10000}$

$\sf\red{Rate =\frac{Simple\: Interest×100}{Time × Principal}}$

$\implies$$\sf{R=\frac{150×100}{3×10000}}$

$\implies$$\sf{R=\frac{15000}{30000}}$

$\implies$$\sf{R=0.5\%}$

$\sf{3) T=2 \: years , SI=₹1481.4,P=₹12345}$

$\sf\red{Rate =\frac{Simple\: Interest×100}{Time × Principal}}$

$\implies$$\sf{R=\frac{1481.4×100}{2×12345}}$

$\implies$$\sf{R=\frac{148140}{24690}}$

$\implies$$\sf{R=6\%}$

$\sf{4) T=5 \: years , SI=₹23900,P=₹95600}$

$\sf\red{Rate =\frac{Simple\: Interest×100}{Time × Principal}}$

$\implies$$\sf{R=\frac{23900×100}{5×95600}}$

$\implies$$\sf{R=\frac{2390000}{475000}}$

$\implies$$\sf{R=5.03\%}$

$\sf{5) T=1 \: years , SI=₹120,P=₹3000}$

$\sf\red{Rate =\frac{Simple\: Interest×100}{Time × Principal}}$

$\implies$$\sf{R=\frac{120×100}{1×3000}}$

$\implies$$\sf{R=\frac{12000}{3000}}$

$\implies$$\sf{R=4\%}$