Question
Pawan gives 29% of his monthly income to Aman. He
allocates 16% of his monthly income between Bhanu and Charu, such that Bhanu receives 43.5% of the combined amount given to both Bhanu and Charu. If Charu receives Rs. 1,101 less than 37.5% of the amount Aman receives, determine Pawan's monthly income.Solution
ATQ,
Let monthly income of Pawan be Rs. β100xβ.
Amount received by βAmanβ = 0.29 Γ 100x = Rs. β29xβ
Amount received by βBhanuβ and βCharuβ together = 0.16 Γ 100x = Rs. β16xβ
Amount received by βBhanuβ = (16x Γ 0.435) = Rs. β6.96xβ
Amount received by βCharuβ = (16x β 6.96x) = Rs. β9.04xβ
ATQ,
9.04x + 1101 = 0.375 Γ 29x
Or, 9.04x + 1101 = 10.875x
Or, 1101 = 1.835x
So, x = 600
So, monthly income of Piyush = 100x = 100 Γ 600 = Rs. 60,000
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