Out of her monthly salary. Ridhi spends 34% various expenses. From the remaining, she gives \( \Large \frac{1}{6} \) th to her brother, \( \Large \frac{2}{3} \) rd to her sister and the remaining she keeps as savings. If the difference between the amounts she gave to her sister and brother was Rs 10,260/-, what was Ridhi's savings ?
Correct Answer: Description for Correct answer:
Let Ridhi's monthly salary = x
Ridhi gives to her brother = x * \( \Large \frac{66}{100} \) x \( \Large \frac{1}{6} \) = \( \Large \frac{11x}{100} \)
Ridhi gives to her sister = x * \( \Large \frac{66}{100} \) x \( \Large \frac{2}{3} \) = \( \Large \frac{11x}{25} \)
Ridhi's savings = \( \Large \frac{66x}{100} \) [ 1 - \( \Large \frac{1}{6} \) - \( \Large \frac{2}{3} \) ]
According to question,
\( \Large \frac{11x}{25} \) - \( \Large \frac{11x}{100} \) = 10260
\( \Large \frac{3x11x}{100} \) = 1026
x = \( \Large \frac{11}{100} \)
Ridhi's savings = \( \Large \frac{11}{100} \) x \( \Large \frac{1026000}{33} \) = Rs 3420/-
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