Question

. .एक व्यक्ति ने अपनी आय का 30% अपने बड़े पुत्र को दिया तथा शेष का 30% अपने छोटे पुत्र को दे दिया ! शेष बची हुई राशि का 20% उसने एक ट्रस्ट को दे दिया और इस प्रकार उसके पास 10000 रु बचे ! उसकी आय क्या थी ?

Answer 1

Answer:

Total income = Rs. 1250000/49

Step-by-step Solution:

Let the income of the person is Rs. P

Step 1.

30% of the income Rs. P was given to his elder son.

So his elder son gets Rs. 30P/100

= Rs. 3P/10

Money left with him = Rs. (P - 3P/10)

= Rs. 7P/10

Step 2.

30% of the remaining Rs. 7P/10 was given to his younger son.

So his younger son gets Rs. (7P/10 * 30/100)

= Rs. 21P/100

Money left with him = Rs. (7P/10 - 21P/100)

= Rs. 49P/100

Step 3.

20% of the remaining Rs. 49P/100 was given to a trust.

So trust gets Rs. (49P/100 * 20/100)

= Rs. 49P/500

Money left with him = Rs. (49P/100 - 49P/500)

= Rs. 49P/125

Step 4.

By the given condition,

49P/125 = 10000

or, P = 10000 * 125 / 49

or, P = 1250000 / 49

∴ his total income was Rs. 1250000/49