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Q1. Manish left an amount of 3,40,000 to be divided between his two sons aged 10 and 12 years such that both would get an equal amount when each of them turn 18 years old. What is the share of the elder brother if the whole amount was invested at 10% pa at Simple interest.
Q2. Vikram takes a loan of ₹4,00,000 from a bank at an interest rate of 10% p.a., compounded annually. At the end of the first year, he repays ₹1,40,000. At the end of the second year, just before the interest for the third year is calculated, the bank revises the interest rate for all existing borrowers. Vikram pays a final amount of ₹3,69,600 at the end of the third year to clear his entire loan. What was the revised annual interest rate for the third year?
Q3. A gold trader mixes two types of ornaments: Type A costs ₹18,000 per 10g, Type B costs ₹22,000 per 10g, in a ratio of a:b by weight. He marks up the mixture price by 40%, then offers a successive 15% and 10% discount and sells finally for Rs.20991.60 making no profit or loss. What is a:b
Q4. A police car at point P starts chasing a thief’s car, which is at point Q, 4 km ahead of P on a straight highway. The police car starts at 60 km/h. The thief’s car is initially stationary but starts moving at 70 km/h at the exact same moment the police car starts. After 6 minutes, the police officer decides to increase his speed. He finally catches the thief 24 minutes after he has increased the speed. What was the increased speed of the police car in km/hr?