Question

In 2020, the incomes of A and B were in the ratio 8:5,

Q: Answer-In 2020, the incomes of A and B were in the ratio 8:5, and their expenses were in the ratio 5:3. A’s...

Let the incomes of A and B, in 2020, be Rs. 8x and Rs. 5x, respectively. Let the expenses of A and B, in 2020, be Rs. 5y and Rs. 3y, respectively. Savings of A in 2020 Rs. 8x - 5y Savings of B in 2020 Rs. 5x - 3y ATQ 8x - 5y - 5x - 3y 5000 Or, 3x - 2y 5000 ....... I Expenses of A in 2021 5y X 1.12 Rs. 5.6y So, savings of A in 2021 Rs. 8x - 5.6y ATQ 8x - 5.6y - 5x - 3y 2000 Or, 3x - 2.6y 2000 ...... II On subtracting equation II from equation I, we have 0.6y 3000 So, y 5000 So, expenditure of B in 2020 3 X 5000 Rs. 15,000

and their expenses were in the ratio 5:3. A’s savings in 2020 exceeded B’s savings by ₹5,000. In 2021, A’s expenditure increased by 12%, while his income remained unchanged. If A’s savings in 2021 were ₹2,000 more than B’s savings in 2020, determine B’s expenditure in 2020.

A Rs. 15,000

B Rs. 18,000

C Rs. 17,500

D Rs. 20,000

E Rs. 12,000

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SBI PO

Nainital Bank Clerk

In 2020, the incomes of A and B were in the ratio 8:5,

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