Aman needed ₹30,000 for a start-up and split the sum between two private lenders under simple-interest terms:

Lender A charges 9% p.a. (simple interest)

Lender B charges 6% p.a. (simple interest)

Aman kept both loans exactly 4 years and then made a single lump-sum payment that settled only the accumulated interest, which came to ₹9,600. After preparing his books of account, Aman discovered that if he had interchanged the principal amounts taken from the two lenders, his four-year interest outgo would have been ₹1,200 less than what he actually paid. How much of the original ₹30,000 did Aman borrow at 9% p.a. from Lender A?

Sarah invested amounts in three different schemes M, N, and O at simple interest rates of 10% p.a., 12% p.a., and 15% p.a. respectively. If the total interest accrued in one year was ₹2282 and the amount invested in Scheme O was 180% of the amount invested in Scheme M and 250% of the amount invested in Scheme N, what was the amount invested in Scheme N?

A container holds a mixture of Orange, Apple, and Guava juices in the ratio of 5:7:4 respectively. 24 litres of this mixture is taken out, and then 10 litres of orange juice and 6 litres of guava juice are added to the vessel. If the resultant quantity of apple juice is 14 litres more than the resultant quantity of orange juice, what was the initial quantity of mixture in the vessel (in litres)?

An individual invested certain amounts in three different schemes P, Q, and R at simple-interest rates of 7% p.a., 9% p.a., and 11% p.a. respectively. If the total interest accrued in one year was ₹2,520 and the amount invested in Scheme R was 250% of the amount invested in Scheme P and 300% of the amount invested in Scheme Q, what was the amount invested in Scheme P?

Select the correct mirror image of the given figure when the mirror is placed at 'PQ' as shown.

Which Sikh Guru initiated 'The Khalsa'?

Which of the following can be used as a catalyst in Hydrogenation reaction?

If 2k sin 30° cos 30° cot 60° = \(\frac{{{{\cot }^2}30^\circ \sec 60^\circ \tan 45^\circ }}{{{\rm{cose}}{{\rm{c}}^{\rm{2}}}{\rm{45^\circ cosec 30}}^\circ }}\) , then find the value of k.

ABCD is an isoceles trapezium such that AD||BC, AB = 5 cm, AD = 8 cm and BC = 14 cm. What is the area (in cm ²) of trapezium?