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Mohan earned Rs. 4000 per month. From the last month his income increased by 8%. Due to rise in price, his expenditure increased by 12% and his saving decreased by 4%. Find his initial expenditure and initial savings.1). Rs. 3000, Rs. 10002). Rs. 1000, Rs. 30003). Rs. 2000, Rs. 40004). Rs. 4000, Rs. 2000 |
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Answer» INITIAL expenditure of Mohan = E Initial savings of Mohan = S We KNOW, income = expenditure + savings Mohan earned Rs. 4000 per month ∴ E + S = 4000----(1) From the last month his income increased by 8%. ∴ New income: 4000 + ( 8% of 4000) = 4000 + 320 = Rs. 4320 His expenditure increased by 12% ∴ New expenditure: E + (12% of E) = E + 0.12E = 1.12E His saving decreased by 4% New savings: S – (4% of S) = S – 0.04S = 0.96S Again, income = expenditure + savings ⇒ 4320 = 1.12E + 0.96S----(2) Solving equation (1) & equation (2) we get, [To solve (1) & (2) multiply (1) with 0.96 or 1.12, then subtract (1) from (2)] E = Rs. 3000 & S = Rs. 1000 |
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