two friends Tina and Meena had ₹ 275 and ₹ 350 respectively.Tina spent 20% of her money while Meena spent 22% of her money .who out of the two spent more
Answers
Answer:
Let P be the principal invested by Meena and Tina
Given Meena invests CI and invested at SI at 16.66% Rate of interest for 2 years.
∴ Let A be the amount tina gets at the end of 2 years
then Meena gets A+23
A=P+
100
P+R
A+23=P(1+
100
R
)
T
P(1+
100
R
)
2
P(1+
3×100
50
)
2
=P(1+
3×100
2×50
)+23
P(1+
6
1
)
2
=P(1+
3
1
)+23
P(
6
7
)
2
=P(
3
4
)+23
36
49P
−
3
4P
=23
36
49P−48P
=23
P=23×36=828 ∴ The amount they invested is 828 each
Answer:
Let P be the principal invested by Meena and Tina
Given Meena invests CI and invested at SI at 16.66% Rate of interest for 2 years.
∴ Let A be the amount tina gets at the end of 2 years
then Meena gets A+23
A=P+
100
P+R
A+23=P(1+
100
R
)
T
P(1+
100
R
)
2
P(1+
3×100
50
)
2
=P(1+
3×100
2×50
)+23
P(1+
6
1
)
2
=P(1+
3
1
)+23
P(
6
7
)
2
=P(
3
4
)+23
36
49P
−
3
4P
=23
36
49P−48P
=23
P=23×36=828 ∴ The amount they invested is 828 each
Hope it helps you.