Kavya borrowed from Raju a certain sum at a certain rate for two years simple interest
. She lent this sum at the
same rate to Nitin for two years compound interest. At the end of two years she received 210 as compound
interest, but paid 200 only as simple interest. Find the sum and the rate of interest.
[Hint: Ifris the rate per rupee per annum, then Pr=100 and P {(1+r)-1)=210)
Answers
Answer:
Conversion of complex sentences into simple sentences
a. I am responsible for what I do.
A simple sentence can be converted into a complex sentence by expanding a word or phrase into a complex sentence.
The complex sentence can be a noun clause, adjective clause or adverb clause.
Study the example sentences given below.
He confessed his crime. (Simple sentence)
He confessed that he was guilty. OR He confessed that he had committed a crime. (Complex sentence – here we expanded the noun ‘his crime’ into the noun clause ‘that he was guilty’ or ‘that he had committed a crime’)
He bought his uncle’s factory. (Simple sentence)
He bought the factory that belonged to his uncle. (Here we expanded the noun phrase ‘his uncle’s factory’ into the adjective clause ‘that belongedThere are three types of systems in thermodynamics: open, closed, and isolated. An open system can exchange both energy and matter with its surroundings. The stovetop example would be an open system, because heat and water vapor can be lost to the air.
Answer:
Let the sum be Rs. P and the rate of intersect be R%
We know that Kamala paid Rs. 200 as simple interest
∴200=
100
PR×2
PR=10000 _______ (1)
Also, Kamala received Rs 210 as compound interest
∴210=P(1+
100
R
)
2
−1
210(1000)=P(R
2
+200R)
210R=R
2
+200R from (1)
⇒R
2
−210R+200R=0
⇒R
2
−10R=0
⇒R(R−10)=0 ∴R
=0,R=10%
put R=10 in (1) P×10=10,000
∴P=Rs.1000
Thus, the required sum is Rs 1000 and rate of interest is 10%
Step-by-step explanation:
Hope this answer will help you.