ABHYAS · PLACEMENT TESTS, SSC AND BANK EXAMS

Abhyas Prep: Races, Discounts, Stocks and Heights अभ्यास प्रेप: दौड़, बट्टा, स्टॉक और ऊँचाई-दूरी

Exam-style questions with explained wrong options and shortcuts: races and starts, true discount, banker’s discount and gain, income from stocks with brokerage, and heights and distances with 30°, 45° and 60°.

Races & games

Races: beating, giving a start and dead heatsIn the time the winner runs the whole race, the loser runs the race minus the margin. Speeds are in the ratio of those two distances.

True discount

True discount and present worthPresent worth is the sum that, put out at simple interest now, grows to the amount due. PW = 100A/(100 + RT) and true discount = A − PW, which is the simple interest on PW.

Banker’s discount

Banker’s discount and banker’s gainA bank discounting a bill charges simple interest on the face value: BD = A × R × T/100. That is more than the true discount, and the excess (banker’s gain) is the simple interest on the true discount.

Stocks & shares

Stocks: income, switching and brokerage“x% stock at M” pays ₹x a year on every ₹100 of stock (face value), and each ₹100 of stock costs ₹M. Income = investment × x/M.

Height & distance

Heights and distances with 30°, 45° and 60°Draw the right triangle. tan θ = opposite/adjacent = height/horizontal distance; tan 30° = 1/√3, tan 45° = 1, tan 60° = √3. An angle of depression from the top equals the angle of elevation from below.

Abhyas Prep: Races, Discounts, Stocks and Heights अभ्यास प्रेप: दौड़, बट्टा, स्टॉक और ऊँचाई-दूरी

Races & games

True discount

Banker’s discount

Stocks & shares

Height & distance

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