Question

Nirmal gave 30 per cent of his money to Nikhil.
Nikhil in turn gave 10 per cent of what he had re-
ceived from Nirmal to Nitin. If Nitin received Rs 300/
- from Nikhil, how much money did Nirmal give to
Nikhil ?​

Answer 1

Step-by-step explanation:

Original amount with nithin = Rs. x (let)

Amount received by nirmal=> \( \Large \frac{30x}{100} = Rs.{3x}{10}\)

nikhil=>\( \Large \frac{2}{3} \times {3x}{10} = Rs \frac{x}{5} \)

Grocer => \( \Large \frac{5}{8} \times {x}{5} =Rs.\frac{x}{8} \)

According to the question,

=> \( \Large \frac{x}{5}-{x}{8}=600\)

=>\( \Large \frac{8x-5x} {40} =600 \)

=> \( \Large 3x = 600 \times 40 \)

\( \Large x = \frac{600 \times 40}{3}= Rs.8000 \)