Question

Sheetal and Sonika invested money in the business in the ratio 4:5. If the total profit
earned was Rs.27000. Find the share each one should get according to the ratio given
above

Answer 1

Step-by-step explanation:

ABC is a isosceles triangle in which AB=AC

BD Perpendicular to AC

In △ABD

AB

2

=AD

2

+BD

2

...(Pythagoras theoram)

∴AC

2

=AD

2

+BD

2

....(as AB=AC) ...(1)

From diagram, we see that

⇒AC=CD+AD

⇒AC

2

=(CD+AD)

2

From (1) we get,

⇒(CD+AD)

2

=AD

2

+BD

2

CD

2

+AD

2

+2(CD×AD)=AD

2

+BD

2

CD

2

+2(CD×AD)=BD

2

...(AD square gets cancelled from both sides)

BD

2

−CD

2

=2(CD×AD)

Hence proved.

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Answer 2

Step-by-step explanation:

Amount × time) → 21,000 × 12 : 42,000 × x

According to the question,

21,000 × 12 = 42,000 × x

x = 6

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