Question
Meera spends 30% of her income on house rent and then
uses 25% of the remaining money on groceries. From what is left, she deposits 40% in her bank. The rest she invests in mutual funds and bonds in the ratio 7:3. If the difference between the amounts invested in mutual funds and bonds is Rs. 12,600, find the amount deposited in the bank by Meera.Solution
ATQ, Let Meeraβs income be Rs. β100xβ Rent = 100x Γ 0.30 = Rs. β30xβ Remaining = 100x β 30x = Rs. β70xβ Groceries = 70x Γ 0.25 = Rs. β17.5xβ Remaining = 70x β 17.5x = Rs. β52.5xβ Bank deposit = 52.5x Γ 0.40 = Rs. β21xβ Remaining = 52.5x β 21x = Rs. β31.5xβ Investment split = 7 : 3 (total parts = 10) Mutual funds = 31.5x Γ (7/10) = Rs. β22.05xβ Bonds = 31.5x Γ (3/10) = Rs. β9.45xβ ATQ; Difference = 22.05x β 9.45x = 12.6x = 12600 So, βxβ = 12600 / 12.6 = 1000 Hence, bank deposit = Rs. β21xβ = 21 Γ 1000 = Rs. 21,000
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