Question

strong data-start="73" data-end="88">Quantity I: An article is marked 36% above its cost price and then sold at a discount of ₹168, resulting in a selling price of ₹x. When the same article is marked 28% above its cost price and sold after a discount of ₹144, the final selling price becomes ₹y. Given that the ratio of y to x is 18:19, determine the cost price of the article. Quantity II: A sum of ₹12,600 is invested for 2 years at an annual compound interest rate of (x - 1)%, yielding ₹2,646 as interest. Find the compound interest earned on investing ₹5,600 for 2 years at an interest rate of (x + 4)%, compounded annually.

Q: Answer-Quantity I: An article is marked 36% above its cost price and then sold at a discount of ₹168, resul...

ATQ, Quantity I, Let the CP of article be x Rs. x 1.36 - 168x 1.28 - 144 1918 18 1.36x - 168 19 1.28x - 144 24.48x - 3024 24.32x - 2736 0.16x 288 x 1800 Rs. Quantity II, 1 x - 11002- 1 264612600 1 x - 11002 1 0.21 1.21 1 x - 1100 1.1 x - 1 10 x 11 x 4 11 4 15 CI 5600 1.152- 1 5600 0.3225 1806 Rs. Quantity I lt Quantity II

In the question, two quantities
i.e. Quantity I and Quantity II are given. Solve the given quantities to establish the correct relation between them and choose the correct option.

A Quantity I > Quantity II Correct Incorrect

B Quantity I < Quantity II Correct Incorrect

C Quantity I = Quantity II or No relation can be established Correct Incorrect

D Quantity I ≥ Quantity II Correct Incorrect

E Quantity I ≤ Quantity II Correct Incorrect

Detailed Solution

ATQ,
Quantity I, Let the CP of article be= x Rs. (x × 1.36 - 168)/(x × 1.28 - 144) = 19/18 18 × (1.36x - 168) = 19 × (1.28x - 144) 24.48x - 3024 = 24.32x - 2736 0.16x = 288 x = 1800 Rs. Quantity II, {1 + (x - 1)/100}²- 1 = 2646/12600 {1 + (x - 1)/100}² = 1 + 0.21 = 1.21 1 + (x - 1)/100 = 1.1 x - 1 = 10 x = 11 x + 4 = 11 + 4 = 15% CI = 5600 × (1.15²- 1) = 5600 × 0.3225 = 1806 Rs. Quantity I < Quantity II

Practice Next

More Quantity Inequality Questions

Three individuals—Aman, Bittu, and Raju—each complete a distance of 120 meters in different time durations: 'x' seconds for Aman, 'x - 2' seconds for Bittu...

Quantity I. Two pipes A and B can fill a tank in 12 minutes and 16 minutes respectively. If both the pipes are opened simultaneously, after how much time ...

Quantity 1: A cyclist travels 30 km in 1.5 hours. Find the covered distance. Quantity 2: If the cyclist increases his speed by 20% and travels for 2 hours,...

In the question, two quantities I and II are given. You have to solve both the quantities to establish the correct relation between Quantity-I and Quantity...

Quantity I : Distance travelled by the cycle to reach point c from point B if a Bike travels the same distance in 2 hours and the speed of the cycle is 140...

Ratio of perimeter of rectangle and length of rectangle was given - 17:5. Quantity I: then area of square whose side is half of rectangle's perimeter Qua...

Quantity-I: A mixture contains 50% milk and the rest 360 litres water. When (x −15) litres of water and (x+10) litres of milk are added to this mixture, th...

The speed of train A is 180 km/hr and it can cross a pole in 4 seconds. Travelling in same direction Train A can cross a man sitting inside train B in 10 s...

Quantity I: A mixture of milk and honey, ratio 9:4, is put in a vessel. 26 liters of honey are added to the 65 liters of mixture that were previously in th...

In this problem, you are presented with two quantities, Quantity I and Quantity II.calculate both quantities and determine the correct relationship between...

Relevant for Exams:

RBI Grade B

RBI Grade B DEPR

RBI Grade B DSIM

Hey! Ask a query

Please enter email id The email must be a valid email address.

Please enter Mobile Number Please enter valid Mobile Number

Please enter your Doubt

Thank You for posting your query. Please check your email for further guidance.

Please Register/Login

Login or create an account to download this question.

Login Register

🎓

Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper

200 Questions with Detailed Solutions

Section-wise Coverage (GA, English, Quant & Reasoning)

Download Now 100% Free PDF