Question

Ayisha's age is 1/6th of her father's age. Ayesha 's

father's age will be twice the age of Shankar's age after

10 years. If Shankar's eight birthdays was celebrated

two years before, then what is Ayesha 's present age.

A. 10 years B. 12 years C. 8 years D. 5 years

5.Simple interest on a certain sum of money for 3

years at 8% per annum is half the compound interest

on Rs. 4000 for 2 years at 10% per annum. The sum

placed on simple interest is?

A. Rs. 1550 B. Rs. 1650 C. Rs. 1750 D. Rs. 2000

Answer 1

2 years ago, Shankar celebrated 8th birthday
So, Shankar's present age = 10
10 years hence,
Shankar's age = 20
Ayesha's father's age = 2*20 = 40
Present age of father = 40-10 = 30
Ayesha's present age = 1/6 of father's age = 1/6 * 30 = 5 years
Option D
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C.I for 2 years on Rs. 4000 at 10%
C.I for 1st yr = 4000*10/100 = 400
P for 2nd yr = 4000+400 = 4400
C.I for 2nd year = 4400*10/100 = 440
C.I for 2 years = 400+440 = 840
Given,
S.I for 3 years = 1/2 * C.I for 2 years
S.I for 3 years = 840/2 = 420
S.I for each year = 420/3 = 140
Rate = 8%
S.I = P*R*T/100
P = 140*100/8*1= 1750 Rs.
Option C
Hope it helps

Answer 2

Answer:

(1) Ayesha's present age = 5 years.

(2) Principal amount is 1750 Rs.

Step-by-step explanation:

(1) Let present age of Ayesha = x

Let present age of her father = y

Let present age of Shankar = z

According to question Shankar's eight birthdays was celebrated two years before, so

z-2 = 8

z = 10

And Ayesha 's father's age will be twice the age of Shankar's age after 10 years

y+10  = 2(z+10)

y =40-10=30 (∵z = 10)

Given Ayesha's present age is 1/6 of her father's age.

x= y/6                                      

x= 30/6 = 5 years.          

Shankar's present age = 10 years.

Ayesha's father's present age = 30 years.

Ayesha's present age = 5 years.

Option D is correct.

(2) Compound Interest (C.I) for 2 years on Rs. 4000 at 10%

C.I for first year = 4000*10/100 = 400

Principal amount (P) for second year = 4000+400 = 4400

C.I for second year = 4400*10/100 = 440

C.I for two years = 400+440 = 840

Given,

Simple interest (S.I) for 3 years = 1/2 * Compound Interest for 2 years

S.I for 3 years = 840/2 = 420

S.I for each year = 420/3 = 140

Rate R = 8%

∵S.I = P*R*T/100

∴P = (S.I*100)/(R*T)

 P = (140*100)/(8*1)= 1750 Rs.

So principal amount is 1750 Rs.

Option C is correct.