P got married 15 years ago. Today, her age is  times her age at the time of her marriage. At present, her son's age is 1/5 of her age. What was her son's age 4 years ago as a fraction of P's age at that time?

(CHSL 2024 Pre)

Find the smallest number that leaves a remainder of 4 on division by 5, 5 on division by 6, 6 on division by 7, 7 on division by 8 and 8 on division by 9?

A person travelled a distance of 150 km and then returned to the starting point. The time taken for the outward journey was  hours more than that for the return journey. His speed for the return journey was 10 km/h more than that for the outward journey. His speed for the return journey, in km/h, was:

(MTS 2020 Pre)

A reduction of 7.5% in the cost price of a commodity enables a shopkeeper to purchase 15 kg more than what he previously purchased for a sum of ₹7,400. In order to make a profit of 32.5% on the pre-reduction cost price of the commodity, at what price (in ₹) per kg should the commodity be sold?

The average of n numbers is 45. If 60% of the numbers are increased by 5 each and the remaining numbers are decreased by 10 each, then what is the average of the numbers so obtained?

Ashok runs  times as fast as Bharat. If Ashok gives Bharat a head start of 160 m, then how far must the winning post be so that Ashok and Bharat can reach it at the same time?

A and B started a business by investing ₹70,000 each. After 10 months, A invests an additional amount of ₹40,000. After 2 more months, B withdraws ₹20,000. After 2 more months, a third person, C joins the business and invests ₹40,000. If at the end of 2 years, C gets ₹7,500 as his share of profit, then what is A's share in the profit?

X, Y, and Z are three equalateral triangles. The sum of the areas of X and Y is equal to the area of Z. If the side lengths of X and Y are 6 cm and 8 cm, respectively, then what is the length of Z?

A grocer purchased 10 kg of rice for ₹700. He spends some amount on transportation and then sells it for ₹1,400. If the percentage of profit made by the grocer is 30%, then what is the amount (in ₹) he spends on transportation? (Round off to the nearest integer)