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Fill in the blank so that the two ratios are equivalent: 15 : 25 = 3 : ___

Class 7Comparing QuantitiesComparing Quantities
  • A13
  • B8.3
  • C75
  • D5

Step-by-Step Solution

The first term went from 15 to 3, which is a division by 5. Equivalent ratios need the SAME operation on both terms, so the second term becomes . Check: 15 : 25 and 3 : 5 both simplify to 3 : 5. The trap in 13 is subtracting 12 from each term because 15 − 12 = 3 — adding or subtracting does not preserve a ratio. 8.3 divides 25 by 3, and 75 multiplies instead of divides.
Answer: D) 5

Key idea: Simple interest

When you lend (or borrow) money, the borrower pays the lender extra for the use of the money — that extra is **interest**. **Simple interest** is calculated only on the original principal, not on past interest.

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where = principal (₹), = rate per annum (% per year), = time in years.

Example: ₹2000 at 5% for 3 years: SI = . Total amount = ₹2300.

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