Quantitative Aptitudeमात्रात्मक योग्यता · स्टॉक और शेयर

Stocks and Sharesस्टॉक और शेयर questions and answersप्रश्न और उत्तर

Stock questions use their own short-hand. Once you read “9% stock at 120” correctly, every question is a one-line ratio: how many ₹100 units your money buys, and what each unit pays.

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1 subtopicउप-टॉपिक

Practice questions are in English for now.अभ्यास के प्रश्न अभी अंग्रेज़ी में हैं।

How stocks and shares worksस्टॉक और शेयर को समझिए

In these questions stock comes in units of ₹100 face value. “9% stock” pays ₹9 a year on each ₹100 of face value, whatever the stock costs. “At 120” means each ₹100 unit costs ₹120 in the market (a premium); “at 90” would mean ₹90 (a discount).

So ₹9,600 invested in 9% stock at 120 buys 9,600/120 = 80 units, and the income is 80 × ₹9 = ₹720. The yield on the money invested is 9 × 100/120 = 7.5%, lower than 9% because the stock was bought above face value.

Brokerage is paid on every trade. A buyer pays it on top of the price, so each unit costs more; a seller pays it out of the price, so each unit brings in less. When switching stocks, the money from the sale (at the market price) is what gets reinvested, not the face value.

Tricks that save timeसमय बचाने वाली ट्रिक्स

All tricks →सभी ट्रिक्स →

Each trick says when to use it, why it works and when it fails. Formula tricks are checked by code over their whole range.हर ट्रिक बताती है कि उसे कब इस्तेमाल करें, वह क्यों काम करती है और कब नहीं। सूत्र वाली ट्रिक्स को कोड से उनकी पूरी रेंज पर जाँचा गया है।

Formulaसूत्रRarely taughtकम सिखाई जाने वाली✓ Checked on 1,980 cases✓ 1,980 मामलों पर जाँची गई

Switching stocks: income × (M₁ × x₂)/(M₂ × x₁)

Use it when:कब इस्तेमाल करें: Someone sells x₁% stock at M₁ and puts all the money into x₂% stock at M₂; find the new income or the change.

Old income = x₁% of the face value held.
Multiply it by M₁/x₁ (money per rupee of income) and by x₂/M₂ (income per rupee invested).
New income = old income × M₁x₂/(M₂x₁).

Exampleउदाहरण

₹6,000 of 5% stock sold at 96, money put into 8% stock at 120. New income?

→ Old income ₹300; 300 × (96 × 8)/(120 × 5) = 300 × 1.28 = ₹384

Why it works, and when it failsयह क्यों काम करती है, और कब नहीं

Why:क्यों: Face value S gives old income Sx₁/100 and sale money SM₁/100. That money buys stock paying SM₁/100 × x₂/M₂. Dividing the two incomes gives M₁x₂/(M₂x₁), independent of S.

Limits:सीमाएँ: No brokerage. With brokerage, use M₁ − b for the sale and M₂ + b for the purchase.

Mental mathsमानसिक गणित✓ Checked on 5,096 cases✓ 5,096 मामलों पर जाँची गई

Turn the stock into a yield first

Use it when:कब इस्तेमाल करें: Income from an investment in “x% stock at M”, or choosing the better of two stocks.

Yield on money invested = x × 100/M %.
Income = yield % of the investment.
To compare two stocks, compare their yields.

Exampleउदाहरण

₹9,600 in 9% stock at 120. Income?

→ Yield = 900/120 = 7.5%; 7.5% of 9,600 = ₹720

Why it works, and when it failsयह क्यों काम करती है, और कब नहीं

Why:क्यों: Each ₹M invested buys ₹100 of stock that pays ₹x, so every rupee invested earns x/M. Income = investment × x/M = investment × (100x/M)/100.

Limits:सीमाएँ: Add brokerage to the price first when buying (M + b). Yield is on the money paid, not on the face value.

Solved examplesहल किए गए उदाहरण

Answers and full solutions are shown. Hide them to test yourself first.उत्तर और पूरे हल दिखाए गए हैं। पहले खुद को परखने के लिए इन्हें छिपाइए।

Example 1उदाहरण 1 · Stocks: income, switching and brokerage · Easyआसान
Ayaan invests ₹8,316 in 10% stock at 108 (face value ₹100). What is Ayaan’s annual income from it?
1. ₹770
2. ₹831.6
3. ₹898.13
4. ₹7,700
Answer:उत्तर: ₹770
1. Units of ₹100 stock = 8,316/108 = 77.
2. Each unit pays ₹10, so income = 77 × 10 = ₹770.
Example 2उदाहरण 2 · Stocks: income, switching and brokerage · Mediumमध्यम
Joseph holds ₹2,500 of 4% stock. Joseph sells it at 84 and invests all the money received in 8% stock at 150. By how much does the annual income increase?
1. ₹12
2. ₹33.33
3. ₹100
4. ₹112
Answer:उत्तर: ₹12
1. Old income = 4% of ₹2,500 = ₹100.
2. Money from the sale = 2,500 × 84/100 = ₹2,100.
3. New income = 2,100 × 8/150 = ₹112.
4. Increase = ₹112 − ₹100 = ₹12.
Example 3उदाहरण 3 · Stocks: income, switching and brokerage · Hardकठिन
Arjun sells ₹24,000 of 5% stock at 88, paying brokerage of ₹2 for every ₹100 of stock sold. How much money does Arjun receive?
1. ₹20,640
2. ₹21,120
3. ₹21,600
4. ₹24,000
Answer:उत्तर: ₹20,640
1. Units of ₹100 stock = 240.
2. Each brings ₹86 after brokerage.
3. Money received = 240 × 86 = ₹20,640.
Example 4उदाहरण 4 · Stocks: income, switching and brokerage · Mediumमध्यम
Aditya holds ₹3,300 of 10% stock. Aditya sells it at 96 and invests all the money received in 15% stock at 120. What is the new annual income?
1. ₹330
2. ₹396
3. ₹412.5
4. ₹495
Answer:उत्तर: ₹396
1. Old income = 10% of ₹3,300 = ₹330.
2. Money from the sale = 3,300 × 96/100 = ₹3,168.
3. New income = 3,168 × 15/120 = ₹396.
Example 5उदाहरण 5 · Stocks: income, switching and brokerage · Mediumमध्यम
Kabir holds ₹11,000 of 6% stock. Kabir sells it at 84 and invests all the money received in 4% stock at 80. What is the new annual income?
1. ₹440
2. ₹462
3. ₹550
4. ₹660
Answer:उत्तर: ₹462
1. Old income = 6% of ₹11,000 = ₹660.
2. Money from the sale = 11,000 × 84/100 = ₹9,240.
3. New income = 9,240 × 4/80 = ₹462.
Example 6उदाहरण 6 · Stocks: income, switching and brokerage · Mediumमध्यम
Diya holds ₹8,100 of 4% stock. Diya sells it at 120 and invests all the money received in 7% stock at 90. By how much does the annual income increase?
1. ₹243
2. ₹306
3. ₹432
4. ₹756
Answer:उत्तर: ₹432
1. Old income = 4% of ₹8,100 = ₹324.
2. Money from the sale = 8,100 × 120/100 = ₹9,720.
3. New income = 9,720 × 7/90 = ₹756.
4. Increase = ₹756 − ₹324 = ₹432.

Common mistakesआम गलतियाँ

Taking the dividend percentage of the money invested instead of the face value.
Ignoring brokerage, or subtracting it when buying.
Reinvesting the face value of the old stock instead of the money received from selling it.

Frequently asked questionsअक्सर पूछे जाने वाले प्रश्न

What does “10% stock at 125” mean?

Each ₹100 of stock pays ₹10 a year and costs ₹125 to buy. Your yield on money invested is 10 × 100/125 = 8%.

Is the dividend paid on face value or market value?

On face value. The market price only decides how much face value your money buys.

How is brokerage handled?

Add it to the price when buying and subtract it from the price when selling. Questions usually state it as rupees per ₹100 of stock or as a percentage; read which one is meant.